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1

Received 5 Nov 2013 | Accepted 9 Jan 2014 | Published 30 Jan 2014 Photonic AharonovBohm effect in photonphonon

  Materials Science Websites

Summary: . Recently, attention has also focused on the Aharonov­Bohm effect for neutral particles, such as photons-optic crystals, and demonstrate the photonic Aharonov­Bohm effect. The results presented here point to newARTICLE Received 5 Nov 2013 | Accepted 9 Jan 2014 | Published 30 Jan 2014 Photonic Aharonov­Bohm

Goddard III, William A.

2

AnomalousAnomalous AharonovBohmAharonovBohm gapgap

  Physics Websites

Summary: currents #12;The AB effect in carbon nano-tubes (CNTs) A. Bachtold et al., Nature 397, 673 (1999) S. Zaric is increased... ...consistently with a gap flux dependence #12;The AB effect in carbon nano-tubes (CNTs) AAnomalousAnomalous Aharonov­BohmAharonov­Bohm gapgap oscillations inoscillations in carbon

Marini, Andrea

3

Aharonov-Bohm Radiation

  CERN Preprints

Summary: A solenoid oscillating in vacuum will pair produce charged particles due to the Aharonov-Bohm (AB) interaction. We calculate the radiation pattern and power emitted for charged scalar particles. We extend the solenoid analysis to cosmic strings, and find enhanced radiation from cusps and kinks on loops. We argue by analogy with the electromagnetic AB interaction that cosmic strings should emit photons due to the gravitational AB interaction of fields in the conical spacetime of a cosmic string. We calculate the emission from a kink and find that it is of similar order as emission from a cusp, but kinks are vastly more numerous than cusps and may provide a more interesting observational signature.

Jones-Smith, Katherine; Vachaspati, Tanmay
2009-01-01

4

Aharonov-Bohm Radiation

  General Relativity & Quantum Cosmology (arXiv)

Summary: A solenoid oscillating in vacuum will pair produce charged particles due to the Aharonov-Bohm (AB) interaction. We calculate the radiation pattern and power emitted for charged scalar particles. We extend the solenoid analysis to cosmic strings, and find enhanced radiation from cusps and kinks on loops. We argue by analogy with the electromagnetic AB interaction that cosmic strings should emit photons due to the gravitational AB interaction of fields in the conical spacetime of a cosmic string. We calculate the emission from a kink and find that it is of similar order as emission from a cusp, but kinks are vastly more numerous than cusps and may provide a more interesting observational signature.

Katherine Jones-Smith; Harsh Mathur; Tanmay Vachaspati
2010-01-25

5

Locality and topology in the molecular Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: It is shown that the molecular Aharonov-Bohm effect is neither nonlocal nor topological in the sense of the standard magnetic Aharonov-Bohm effect. It is further argued that there is a close relationship between the molecular Aharonov-Bohm effect and the Aharonov-Casher effect for an electrically neutral spin$-{1/2}$ particle encircling a line of charge.

Erik Sjöqvist
2002-11-05

6

Electromagnetic potentials and Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: Hamilton-Jacobi equation which governs classical mechanics and electrodynamics explicitly depends on the electromagnetic potentials (A,{\\phi}), similar to Schroedinger equation. We derived the Aharonov-Bohm effect from Hamilton-Jacobi equation thereby having proved that this effect is of classical origin. These facts enable us to arrive at the following conclusions: a) the very idea of special role of potentials (A,{\\phi}) in quantum mechanics (different from their role in classical physics) lost the ground, and becomes dubious, as this idea is based on the Aharonov-Bohm effect, b) failure to find any signs of a special role of these potentials in the appropriate experiments (Feinberg, 1963) is thereby explained, and c) discovery of classical analogues of the Aharonov-Bohm effect (Berry et al., 1980) is also explained by a classical nature of this effect. Elucidation of the "unlocal" interaction problem was made.

Alexander Ershkovich
2013-04-10

7

Aharonov-Bohm Effect in Synchrotron Radiation

  CERN Preprints

Summary: Synchrotron radiation of a charged particle in a constant uniform magnetic field and in the presence of the Aharonov-Bohm solenoid field is studied in the frame of the relativistic quantum theory. First, to this end exact solutions of the Klein-Gordon and Dirac equations are found. Using such solutions, all characteristics of one photon spontaneous irradiation, such as its intensity and angular distribution and polarization were calculated and analyzed. It is shown that usual spectrum of the synchrotron radiation is essentially affected by the presence of the solenoid (the Aharonov-Bohm effect). We believe that this deformation may be observed by spectroscopic methods of measurement. It is shown that

Bagrov, V G; Levin, A; Tlyachev, V B
2001-01-01

8

Relativistic Aharonov-Bohm-Coulomb Problem

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm effect is analyzed for a spin-1/2 particle in the case that a $1/r$ potential is present. Scalar and vector couplings are each considered. It is found that the approach in which the flux tube is given a finite radius that is taken to zero only after a matching of boundary conditions does not give physically meaningful results. Specifically, the operations of taking the limit of zero flux tube radius and the Galilean limit do not commute. Thus there appears to be no satisfactory solution of the relativistic Aharonov-Bohm-Coulomb problem using the finite radius flux tube method.

C. R. Hagen; D. K. Park
1994-10-28

9

Aharonov-Bohm scattering on a cone

  Physics (arXiv)

Summary: The Aharonov-Bohm scattering amplitude is calculated in the context of planar gravity with localized sources which also carry a magnetic flux. These sources cause space-time to develop conical singularities at their location, thus introducing novel effects in the scattering of electrically charged particles. The behaviour of the wave function in the proximity of the classical scattering directions is analyzed by means of an asymptotic expansion previously introduced by the author. It is found that, in contrast with the Aharonov-Bohm effect in flat space, integer values of the numerical flux can produce observable effects.

Marcos Alvarez
1998-04-27

10

On the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: Using the theory of self-adjoint extensions, we construct all the possible hamiltonians describing the non relativistic Aharonov-Bohm effect. In general the resulting hamiltonians are not rotationally invariant so that the angular momentum is not a constant of motion. Using an explicit formula for the resolvent, we describe the spectrum and compute the generalized eigenfunctions and the scattering amplitude.

Riccardo Adami; Alessandro Teta
1997-02-25

11

Aharonov-Bohm Effect and Hidden Photons

  HEP - Theory (arXiv)

Summary: Signs of hypothetical light gauge bosons from a hidden sector may appear in Aharonov-Bohm-like experiments. The absence of signal in carried on experiments allow us to set a modest constraint to the mass and coupling constant of these particles. Our findings open the possibility to exploit the leaking of hidden magnetic field in a different setup of experiments.

Paola Arias
2013-09-17

12

Aharonov-Bohm Effect and Hidden Photons

  CERN Preprints

Summary: Signs of hypothetical light gauge bosons from a hidden sector may appear in Aharonov-Bohm-like experiments. The absence of signal in carried on experiments allow us to set a modest constraint to the mass and coupling constant of these particles. Our findings open the possibility to exploit the leaking of hidden magnetic field in a different setup of experiments.

Arias, Paola
2013-01-01

13

Quantum Aharonov-Bohm Billiard System

  Nonlinear Sciences (arXiv)

Summary: The Green's functions of the two and three-dimensional relativistic Aharonov-Bohm (A-B) systems are given by the path integral approach. In addition the exact radial Green's functions of the spherical A-B quantum billiard system in two and three-dimensional are obtained via the perturbation techanique of $\\delta $-function.

Der-San Chuu; De-Hone Lin
1999-09-15

14

The Electric Aharonov-Bohm Effect

  Mathematical Physics (arXiv)

Summary: In their seminal paper Aharonov and Bohm (1959) claimed that electromagnetic fields can act at a distance on charged particles even if they are identically zero in the region of space where the particles propagate. They proposed two experiments to verify their theoretical conclusions. The magnetic effect, that has been extensively studied, and the electric effect where an electron is affected by a time-dependent electric potential that is constant in the region where the electron is propagating, i.e., such that the electric field vanishes along its trajectory. The Aharonov-Bohm effects imply such a strong departure from the physical intuition coming from classical physics that it is no wonder that they remain a highly controversial issue, after more than fifty years. The existence of electric Aharonov-Bohm effect, that has not been confirmed experimentally, is a very controversial issue. In their 1959 paper Aharonov and Bohm proposed an Ansatz for the solution to the Schroedinger equation in regions where there is a time-dependent electric potential that is constant in space. It consists in multiplying the free evolution by a phase given by the integral in time of the potential. The validity of this Ansatz predicts interference fringes between parts of a coherent electron beam that are subjected to different potentials. In this paper we prove that the exact solution to the Schroedinger equation is given by the Aharonov-Bohm Ansatz up to an error bound in norm that is uniform in time and that decays as a constant divided by the velocity. Our results give, for the first time, a rigorous proof that quantum mechanics predicts the existence of the electric Aharonov-Bohm effect, under conditions that we provide. We hope that our results will estimulate the experimental research on the electric Aharonov-Bohm effect.

Ricardo Weder
2011-07-14

15

Hidden superconformal symmetry of spinless Aharonov-Bohm system

  Mathematical Physics (arXiv)

Summary: A hidden supersymmetry is revealed in the spinless Aharonov-Bohm problem. The intrinsic supersymmetric structure is shown to be intimately related with the scale symmetry. As a result, a bosonized superconformal symmetry is identified in the system. Different self-adjoint extensions of the Aharonov-Bohm problem are studied in the light of this superconformal structure and interacting anyons. Scattering problem of the original Aharonov-Bohm model is discussed in the context of the revealed supersymmetry.

Francisco Correa; Horacio Falomir; Vit Jakubsky; Mikhail S. Plyushchay
2010-02-02

16

Gravitational Dressing of Aharonov-Bohm Amplitudes

  HEP - Theory (arXiv)

Summary: We investigate Aharonov-Bohm scattering in a theory in which charged bosonic matter fields are coupled to topologically massive electrodynamics and topologically massive gravity. We demonstrate that, at one-loop order, the transmuted spins in this theory are related to the ones of ordinary Chern-Simons gauge theory in the same way that the Knizhnik-Polyakov-Zamolodchikov formula relates the Liouville-dressed conformal weights of primary operators to the bare weights in two-dimensional conformal field theories. We remark on the implications of this connection between two-dimensional conformal field theories and three-dimensional gauge and gravity theories for a topological membrane reformulation of strings. We also discuss some features of the gravitational analog of the Aharonov-Bohm effect.

G. Amelino-Camelia; I. I. Kogan; R. J. Szabo
1996-10-09

17

Aharonov-Bohm oscillation Magnetic field

  Physics Websites

Summary: ;+ + + + + + + + + + + EF AlGaAs GaAs Wave-function of 2DEG 2DEG undoped AlGaAs GaAs GaAs wafer doped 2DEG GaAs AlGaAs/GaAs Buffer GaAs/AlGaAs #12;2DEG metal gate Sample surface #12; AB #12; p k p=hk =(2/h)(1 pdl-2 pdl- 100083 20061219 #12; Aharonov-Bohm oscillation Magnetic field current Shot noise

Wang, Wei Hua

18

Noncommutativity and the Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: The possibility of detecting noncommutive space relics is analyzed by using the Aharonov-Bohm effect. If space is non-commutative, it turns out that the holonomy receives kinematical corrections that tend to diffuse the fringe pattern. This fringe pattern has a non-trivial energy dependence and, therefore, one could observe noncommutative effects by modifying the energy of the incident electrons beam in the Tonomura experimental arrangement

J. Gamboa; M. Loewe; J. C. Rojas
2001-11-07

19

Aharonov-Bohm Effect in Noncommutative Spaces

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding shift in the phase of the particle propagator due to the magnetic field of a thin solenoid receives certain gauge invariant corrections because of the noncommutativity. Evaluating the numerical value for this correction, an upper bound for the noncommutativity parameter is obtained.

M. Chaichian; A. Demichev; P. Presnajder; M. M. Sheikh-Jabbari; A. Tureanu
2001-04-30

20

Aharonov-Bohm Effect with $?$--type Interaction

  Mathematical Physics (arXiv)

Summary: A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint extensions. One of the parameters, the value of the flux, corresponds to the Aharonov-Bohm effect; the other four parameters correspond to the strength of a singular potential barrier. The spectrum and eigenstates are computed and the scattering problem is solved.

L. Dabrowski; P. Stovicek
1996-12-30

21

Aharonov--Bohm Effect in 3D Abelian Higgs Theory

  HEP - Lattice (arXiv)

Summary: We study a field--theoretical analogue of the Aharonov--Bohm effect in the 3D Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the vortex and the particle world trajectories. We show that the Aharonov--Bohm effect gives rise to a nontrivial interaction of tested charged particles.

M. N. Chernodub; F. V. Gubarev; M. I. Polikarpov
1996-08-14

22

Propagator for an Aharonov-Bohm-Coulomb system

  Quantum Physics (arXiv)

Summary: The propagator of three-dimensional Aharonov-Bohm-Coulomb system is calculated by following the Duru-Kleinert method. It is shown that the system is reduced to two independent two dimensional Aharonov-Bohm plus harmonic oscillator systems through dimensional extension and Kustaanheimo-Stiefel transformation. The energy spectrum is deduced.

D. K. Park; Sahng-Kyoon Yoo; Soo-Young Lee; Jae-Rok Kahng; Chang Soo Park; Eui-Soon Yim; C. H. Lee
1997-07-02

23

Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach

  Mathematical Physics (arXiv)

Summary: We describe the general setting for the optical Aharonov-Bohm effect based on the inverse problem of the identification of the coefficients of the governing hyperbolic equation by the boundary measurements. We interpret the inverse problem result as a possibility in principle to detect the optical Aharonov-Bohm effect by the boundary measurements.

Gregory Eskin
2007-10-18

24

Aharonov-Bohm Radiation of Fermions

  General Relativity & Quantum Cosmology (arXiv)

Summary: We analyze Aharonov-Bohm radiation of charged fermions from oscillating solenoids and cosmic strings. We find that the angular pattern of the radiation has features that differ significantly from that for bosons. For example, fermionic radiation in the lowest harmonic is approximately isotropically distributed around an oscillating solenoid, whereas for bosons the radiation is dipolar. We also investigate the spin polarization of the emitted fermion-antifermion pair. Fermionic radiation from kinks and cusps on cosmic strings is shown to depend linearly on the ultraviolet cut-off, suggesting strong emission at an energy scale comparable to the string energy scale.

Yi-Zen Chu; Harsh Mathur; Tanmay Vachaspati
2010-08-21

25

Geometry of the Aharonov-Bohm Effect

  Mathematical Physics (arXiv)

Summary: We show that the connection responsible for any abelian or non abelian Aharonov-Bohm effect with $n$ parallel ``magnetic'' flux lines in $\\R^3$, lies in a trivial $G$-principal bundle $P\\to M$, i.e. $P$ is isomorphic to the product $M\\times G$, where $G$ is any path connected topological group; in particular a connected Lie group. We also show that two other bundles are involved: the universal covering space $\\tilde{M}\\to M$, where path integrals are computed, and the associated bundle $P\\times_G \\C^m \\to M$, where the wave function and its covariant derivative are sections.

R. S. Huerfano; M. A. Lopez; M. Socolovsky
2007-03-06

26

Dynamics of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a vector potential is studied in the arrangements associated with the Aharonov-Bohm effect. The solution of the Dirac equation showed a change in the velocity of the electron wave packet even in a region where no fields of the unperturbed solenoid acted on the electron. The solution of the Dirac equation qualitatively agreed with the prediction of classical dynamics under the assumption that the dynamics was defined by the conservation of generalized or canonical momentum of the electron.

Neven Simicevic
2010-03-24

27

Deflating the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: I argue that the metaphysical import of the Aharonov-Bohm effect has been overstated: correctly understood, it does not require either rejection of gauge invariance or any novel form of nonlocality. The conclusion that it does require one or the other follows from a failure to keep track, in the analysis, of the complex scalar field to which the magnetic vector potential is coupled. Once this is recognised, the way is clear to a local account of the ontology of electrodynamics (or at least, to an account no more nonlocal than quantum theory in general requires); I sketch a possible such account.

David Wallace
2014-07-18

28

Optical theorem for Aharonov-Bohm scattering

  HEP - Theory (arXiv)

Summary: Quantum-mechanical scattering off a magnetic vortex is considered, and the optical theorem is derived. The vortex core is assumed to be impermeable to scattered particles, and its transverse size is taken into account. We show that the scattering Aharonov-Bohm effect is independent of the choice of boundary conditions from the variety of the Robin ones. The behaviour of the scattering amplitude in the forward direction is analyzed, and the persistence of the Fraunhofer diffraction in the short-wavelength limit is shown to be crucial for maintaining the optical theorem in the quasiclassical limit.

Yu. A. Sitenko; N. D. Vlasii
2011-07-14

29

Dynamics of the Aharonov-Bohm effect

  CERN Preprints

Summary: The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a vector potential is studied in the arrangements associated with the Aharonov-Bohm effect. The solution of the Dirac equation showed a change in the velocity of the electron wave packet even in a region where no fields of the unperturbed solenoid acted on the electron. The solution of the Dirac equation qualitatively agreed with the prediction of classical dynamics under the assumption that the dynamics was defined by the conservation of generalized or canonical momentum of the electron.

Simicevic, Neven
2010-01-01

30

Relativistic scalar Aharonov-Bohm scattering

  HEP - Theory (arXiv)

Summary: We discuss the scattering of relativistic spin zero particles by an infinitely long and arbitrarily thin solenoid. The exact solution of the first-quantized problem can be obtained as a mimic of the nonrelativistic case, either in the original Aharonov-Bohm way or by using the Berry's magnetization scheme. The perturbative treatment is developed in the Feshbach-Villars two-component formalism for the Klein-Gordon equation and it is shown that it also requires renormalization as in the Schrodinger counterpart. The results are compared with those of the field theoretical approach which corresponds to the two-body sector of the scalar Chern-Simons theory.

M. Gomes; J. M. C. Malbouisson; A. G. Rodrigues; A. J. da Silva
2000-07-10

31

The Electric Aharonov-Bohm Effect

  CERN Preprints

Summary: In their seminal paper Aharonov and Bohm (1959) claimed that electromagnetic fields can act at a distance on charged particles even if they are identically zero in the region of space where the particles propagate. They proposed two experiments to verify their theoretical conclusions. The magnetic effect, that has been extensively studied, and the electric effect where an electron is affected by a time-dependent electric potential that is constant in the region where the electron is propagating, i.e., such that the electric field vanishes along its trajectory. The Aharonov-Bohm effects imply such a strong departure from the physical intuition coming from classical physics that it is no wonder that they remain a highly controversial issue, after more than fifty years. The existence of electric Aharonov-Bohm effect, that has not been confirmed experimentally, is a very controversial issue. In their 1959 paper Aharonov and Bohm proposed an Ansatz for the solution to the Schroedinger equation in regions where the...

Weder, Ricardo
2010-01-01

32

Aharonov--Bohm Effect in the Abelian Higgs Theory

  HEP - Lattice (arXiv)

Summary: We study a field--theoretical analogue of the Aharonov--Bohm effect in the Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the Abrikosov--Nielsen--Olesen string world sheets and the particle world trajectory. The creation operators of the strings are explicitly constructed in the path integral and in the Hamiltonian formulation of the theory. We show that the Aharonov--Bohm effect gives rise to several nontrivial commutation relations. We also study the Aharonov--Bohm effect in the lattice formulation of the Abelian Higgs Model. It occurs that this effect gives rise to a nontrivial interaction of tested charged particles.

M. N. Chernodub; M. I. Polikarpov
1995-11-01

33

The optical Aharonov-Bohm effect Polarization effects in the opticalPolarization effects in the optical AharonovAharonov--BohmBohm

  Physics Websites

Summary: The optical Aharonov-Bohm effect Polarization effects in the opticalPolarization effects in the optical AharonovAharonov--BohmBohm oscillations in quantum rings.oscillations in quantum rings. Luis Dias. · A net Aharonov-Bohm phase arises signatures in the optical emission and absorption of the Optical AB

Dias, Luis Gregório

34

The Aharonov-Bohm Effect in the Momentum Space

  Quantum Physics (arXiv)

Summary: The Schrodinger formalism of quantum mechanics is used to demonstrate the existence of the Aharonov-Bohm effect in momentum space and set-ups for experimentally demonstrating it are proposed for either free or ballistic electrons.

D. Dragoman; S. Bogdan
2005-03-21

35

The deconfinement phase transition as an Aharonov-Bohm effect

  HEP - Theory (arXiv)

Summary: A subjective and incomplete list of interesting and unique features of the deconfinement phase transition is presented. Furthermore a formal similarity of the density matrix of the Aharonov-Bohm system and QCD is mentioned, as well.

Janos Polonyi
1999-06-27

36

Locality of the Aharonov-Bohm-Casher effect

  Quantum Physics (arXiv)

Summary: We address the question of the locality versus nonlocality in the Aharonov-Bohm and the Aharonov-Casher effects. For this purpose, we investigate all possible configurations of ideal shielding of the overlap between the electromagnetic fields generated by a charge and by a magnetic flux, and analyze their consequences on the Aharonov-Bohm-Casher interference. In a classical treatment of shielding, the Aharonov-Bohm-Casher effect vanishes regardless of the geometry of shielding, when the local overlap of electromagnetic fields is completely eliminated. On the other hand, the result depends on the configuration of shielding if the charge quantization in the superconducting shield is taken into account. It is shown that our results are fully understood in terms of the fluctuating local-field interaction. Our analysis strongly supports the alternative view on the Aharonov-Bohm-Casher interference that the effects originate from the local action of electromagnetic fields.

Kicheon Kang
2015-02-04

37

New formulae for the Aharonov-Bohm wave operators

  Mathematical Physics (arXiv)

Summary: It is proved that the wave operators corresponding to Schroedinger operators with Aharonov-Bohm type magnetic fields can be rewritten in terms of explicit functions of the generator of dilations and of the Laplacian.

S. Richard
2008-11-24

38

Aharonov-Bohm Effect in Lattice Abelian Higgs Theory

  HEP - Lattice (arXiv)

Summary: We study a field-theoretical analogue of the Aharonov-Bohm effect in two-, three- and four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to the linking number of the Abrikosov vortex and the particle world trajectories. We show that the Aharonov-Bohm effect gives rise to a nontrivial interaction of charged test particles. The numerical calculations in the three-dimensional model confirm this fact.

M. N. Chernodub; F. V. Gubarev; M. I. Polikarpov
1997-11-12

39

Aharonov-Bohm effect in a Class of Noncommutative Theories

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $\\theta$, the magnetic field is gauge invariant although spatially strongly anisotropic. Despite this anisotropy, the Schr\\"odinger-Pauli equation is separable through successive unitary transformations and the exact solution is found. The scattering amplitude is calculated and compared with the usual case. In the noncommutative Aharonov-Bohm case the differential cross section is independent of $\\theta$.

A. Das; H. Falomir; J. Gamboa; F. Mendez; M. Nieto
2011-05-09

40

Relativistic Corrections to the Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: We determine the |p|/m expansion of the two body scattering amplitude of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. It is shown that the existence of a critical value of the self-interaction parameter for which the 2-particle amplitude reduces to the Aharonov-Bohm one is restricted to the leading, nonrelativistic, order. The subdominant terms correspond to relativistic corrections to the Aharonov-Bohm scattering.

M. Gomes; J. M. C. Malbouisson; A. J. da Silva
1996-11-05

41

Unitarity of the Aharonov-Bohm Scattering Amplitudes

  HEP - Theory (arXiv)

Summary: We discuss the unitarity relation of the Aharonov-Bohm scattering amplitude with the hope that it distinguishes between the differing treatments which employ different incident waves. We find that the original Aharonov-Bohm scattering amplitude satisfies the unitarity relation under the regularization prescription whose theoretical foundation does not appear to be understood. On the other hand, the amplitude obtained by Ruijsenaars who uses plane wave as incident wave also satisfies the unitarity relation but in an unusual way.

Masato Arai; Hisakazu Minakata
1998-08-09

42

Classical Electrodynamics without Fields and the Aharonov-Bohm effect

  Physics (arXiv)

Summary: The Darwin-Breit Hamiltonian is applied to the Aharonov-Bohm experiment. In agreement with the standard Maxwell-Lorentz theory, the force acting on electrons from infinite solenoids or ferromagnetic rods vanishes. However, the interaction energies and phase factors of the electron wave packets are non-zero. This allows us to explain the Aharonov-Bohm effect without involvement of electromagnetic potentials, fields, and topological properties of space.

Eugene V. Stefanovich
2008-03-19

43

Aharonov-Bohm Effect and Disclinations in an Elastic Medium

  Condensed Matter (arXiv)

Summary: In this work we investigate quasiparticles in the background of defects in solids using the geometric theory of defects. We use the parallel transport matrix to study the Aharonov-Bohm effect in this background. For quasiparticles moving in this effective medium we demonstrate an effect similar to the gravitational Aharonov- Bohm effect. We analyze this effect in an elastic medium with one and $N$ defects.

Claudio Furtado; A. M. de M. Carvalho; C. A. de Lima Ribeiro
2006-01-04

44

The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schr$\\ddot{o}$dinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then by solving the Schr$\\ddot{o}$dinger equations, we obtain the Aharonov-Bohm (AB) phase on NC space and NC phase space, respectively.

Kang Li; Sayipjamal Dulat
2006-08-13

45

Aharonov-Bohm Effect and Coordinate Transformations

  General Relativity & Quantum Cosmology (arXiv)

Summary: Resorting to a Gedankenexperiment which is very similar to the famous Aharonov-Bohm proposal it will be shown that, in the case of a Minkowskian spacetime, we may use a nonrelativistic quantum particle and a noninertial coordinate system and obtain geometric information of regions that are, to this particle, forbidden. This shows that the outcome of a nonrelativistic quantum process is determined not only by the features of geometry at those points at which the process takes place, but also by geometric parameters of regions in which the quantum system can not enter. From this fact we could claim that geometry at the quantum level plays a non-local role. Indeed, the measurement outputs of some nonrelativistic quantum experiments are determined not only by the geometry of the region in which the experiment takes place, but also by the geometric properties of spacetime volumes which are, in some way, forbidden in the experiment.

A. Camacho
1999-07-07

46

Quantum Computation with Aharonov-Bohm Qubits

  Quantum Physics (arXiv)

Summary: We analyze the posibility of employing the mesoscopic-nanoscopic ring of a normal metal in a doubly degenerate persistent current state with a third auxihilary level and in the presence of the Aharonov-Bohm flux equal to the half of the normal flux quantum $\\hbar c/e$ as a qubit. The auxiliary level can be effectively used for all fundamental quantum logic gate (qu-gate) operations which includes the initialization, phase rotation, bit flip and the Hadamard transformation as well as the double-qubit controlled operations (conditional bit flip). We suggest a tentative realization of the mechanism as either the mesoscopic structure of three quantum dots coherently coupled by mesoscopic tunnelling in crossed magnetic and electric fields, or as a nanoscopic structure of triple anionic vacancy (similar to $F_3$ centers in alkali halides) with one trapped electron in one spin projection state.

A. Barone; T. Hakioglu; I. O. Kulik
2002-03-02

47

Gravitational Aharonov-Bohm effect in graphene

  CERN Preprints

Summary: We study a kind of gravitational Aharonov-Bohm effect in a graphene sheet with a wedge removed and edges identified, i.e., a graphitic cone. The angular defect gives rise to a mismatch of the components of the graphene's relativistic charged quasiparticle wavefunctions (spinors) upon closed parallel transport around the (singular) cone tip. Such an effect should affect the basic electronic properties in "conical graphenes" as compared with their planar counterpart and it could be, in principle, detected experimentally. Measurements of the electronic transport in these graphitic materials and their relationships with the changes calculated in the quasiparticle wavefunctions could make available interesting probes to the Einstein theory of general relativity in two spatial dimensions. Therefore, we propose a way of verifying, in a microscopic scale, some predictions of a theory that is usually associated with incredible large objects such as planets, stars, black holes, galaxies and so on.

Fonseca, J M; Moura-Melo, W A; Franco, D H T
2009-01-01

48

Polarized excitons in nanorings and the optical Aharonov-Bohm effect A. O. Govorov

  Physics Websites

Summary: Polarized excitons in nanorings and the optical Aharonov-Bohm effect A. O. Govorov Department and the well known Aharonov-Bohm AB effect.4 Such a case appears naturally in systems with ring geometry. A prominent example is the Aharonov-Bohm phase, which has been studied in connection with the conductance

Ludwig-Maximilians-Universität, München

49

Aharonov-Bohm effect with many vortices

  Mathematical Physics (arXiv)

Summary: The Aharonov-Bohm effect is the prime example of a zero-field-strength configuration where a non-trivial vector potential acquires physical significance, a typical quantum mechanical effect. We consider an extension of the traditional A-B problem, by studying a two-dimensional medium filled with many point-like vortices. Systems like this might be present within a Type II superconducting layer in the presence of a strong magnetic field perpendicular to the layer, and have been studied in different limits. We construct an explicit solution for the wave function of a scalar particle moving within one such layer when the vortices occupy the sites of a square lattice and have all the same strength, equal to half of the flux quantum. From this construction we infer some general characteristics of the spectrum, including the conclusion that such a flux array produces a repulsive barrier to an incident low-energy charged particle, so that the penetration probability decays exponentially with distance from the edge.

Fabio Franchini; Alfred Scharff Goldhaber
2008-10-08

50

Photonic Aharonov-Bohm Effect Based on Dynamic Modulation Department of Physics, Stanford University, Stanford, California 94305, USA

  Engineering Websites

Summary: Photonic Aharonov-Bohm Effect Based on Dynamic Modulation Kejie Fang Department of Physics potential can be used to create a photonic Aharonov-Bohm effect. We show that the photonic Aharonov-Bohm of the modulation can be used to create an effective gauge potential and, hence, a photonic Aharonov-Bohm effect

Fan, Shanhui

51

The covariant, time-dependent Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: We discuss two possible covariant generalizations of the Aharonov-Bohm effect - one expression in terms of the space-time line integral of the four-vector potential and the other expression in terms of the space-time "area" integral of the electric and magnetic fields written in terms of the Faraday 2-form. These expressions allow one to calculate the Aharonov-Bohm effect for time-dependent situations. In particular, we use these expressions to study the case of an infinite solenoid with a time varying flux and find that the phase shift is zero due to a cancellation of the Aharonov-Bohm phase shift with a phase shift coming from the Lorentz force associated with the electric field, ${\\bf E} = - \\partial_t {\\bf A}$, outside the solenoid. This result may already have been confirmed experimentally.

Douglas Singleton; Elias C. Vagenas
2013-05-24

52

Holonomy, Aharonov-Bohm effect and phonon scattering in superfluids

  General Relativity & Quantum Cosmology (arXiv)

Summary: In this article we discuss the analogy between superfluids and a spinning thick cosmic string. We use the geometrical approach to obtain the geometrical phases for a phonon in the presence of a vortex. We use loop variables for a geometric description of Aharonov-Bohm effect in these systems. We use holonomy transformations to characterize globally the "space-time" of a vortex and in this point of view we study the gravitational analog of the Aharonov-Bohm effect in this system. We demonstrate that in the general case the Aharonov-Bohm effect has a contribution both from the rotational and the translational holonomy. We study also Berrys quantum phase for phonons in this systems.

Claudio Furtado; A. M. de M. Carvalho; L. C. Garcia de Andrade; F. Moraes
2004-01-08

53

Aharonov-Bohm magnetism and Landau diamagnetism in semimetals

  Mathematical Physics (arXiv)

Summary: We compute the magnetic response of hollow semimetal cylinders and rings to the presence of an axial Aharonov-Bohm magnetic flux, in the absence of interactions. We predict nullification of the Aharonov-Bohm effect for a class of dispersion laws that includes "non-relativistic" dispersion and demonstrate that at zero flux the ground-state of a very short "armchair" graphene tube will exhibit a ferromagnetic broken symmetry. We also compute the diamagnetic response of bulk semimetals to the presence of a uniform magnetic field, specifically predicting that the susceptibility has a logarithmic dependence on the size of the sample.

Eugene B. Kolomeisky; Joseph P. Straley
2011-12-29

54

Testing spatial noncommutativiy via the Aharonov-Bohm effect

  HEP - Theory (arXiv)

Summary: The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives non-trivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound $\\theta \\sim [ 10 {TeV}]^{-2}$ is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov- Bohm effect is also discussed.

H. Falomir; J. Gamboa; M. Loewe; F. Mendez; J. C. Rojas
2002-06-14

55

Effect of Aharonov-Bohm Phase on Spin Tunneling

  Quantum Physics (arXiv)

Summary: The role of Aharonov-Bohm effect in quantum tunneling is examined when a potential is defined on the $S^1$ and has $N$-fold symmetry. We show that the low-lying energy levels split from the $N$-fold degenerate ground state oscillate as a function of the Aharonov-Bohm phase, from which general degeneracy conditions depending on the magnetic flux is obtained. We apply these results to the spin tunneling in a spin system with $N$-fold rotational symmetry around a hard axis.

ChangSoo Park; D. K. Park
2000-08-11

56

Eigenvalues variations for Aharonov-Bohm Corentin Lna

  Physics Websites

Summary: spectral minimal partitions of the domain. 1 Introduction Aharonov-Bohm operators have been introduced relevance, it has been shown in [8] that these operators appear in the theory of spectral minimal partitions at a finite number of singularities, so that the associated magnetic field is zero. On a fixed planar domain

Paris-Sud XI, Université de

57

Zero modes in a system of Aharonov-Bohm fluxes

  Mathematical Physics (arXiv)

Summary: We study zero modes of two-dimensional Pauli operators with Aharonov--Bohm fluxes in the case when the solenoids are arranged in periodic structures like chains or lattices. We also consider perturbations to such periodic systems which may be infinite and irregular but they are always supposed to be sufficiently scarce.

V. A. Geyler; P. Stovicek
2004-12-31

58

Spectroscopic version of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: An experiment is proposed in which the Aharonov-Bohm effect can be veryfied through a spectroscopic measurement. The apparatus consists of gaseous hydrochloric acid (HCl) immersed in the constant vector potential ${\\bf A}=A_0{\\bf z}$ present in the interior of a toroidal coil. Changes due to ${\\bf A}$ in the absorption spectrum of the gas are investigated.

C. Laganá
2014-03-21

59

Symmetry-protected many-body Aharonov-Bohm effect

  MIT - DSpace

Summary: It is known as a purely quantum effect that a magnetic flux affects the real physics of a particle, such as the energy spectrum, even if the flux does not interfere with the particle's path—the Aharonov-Bohm effect. Here ...

Santos, Luiz H.

60

Perturbative Analysis of Nonabelian Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: We perform a perturbative analysis of the nonabelian Aharonov-Bohm problem to one loop in a field theoretic framework, and show the necessity of contact interactions for renormalizability of perturbation theory. Moreover at critical values of the contact interaction strength the theory is finite and preserves classical conformal invariance.

Dongsu Bak; Oren Bergman
1994-03-18

61

Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance

  HEP - Theory (arXiv)

Summary: We perform a perturbative analysis of the Aharonov-Bohm problem to one loop in a field-theoretic formulation, and show that contact interactions are necessary for renormalizability. In general, the classical scale invariance of this problem is broken quantum mechanically. There exists however a critical point for which this anomaly disappears.

O. Bergman; G. Lozano
1993-02-24

62

Aharonov-Bohm effect on the Poincaré disk

  Mathematical Physics (arXiv)

Summary: We consider formal quantum hamiltonian of a charged particle on the Poincar\\'e disk in the presence of an Aharonov-Bohm magnetic vortex and a uniform magnetic field. It is shown that this hamiltonian admits a four-parameter family of self-adjoint extensions. Its resolvent and the density of states are calculated for natural values of the extension parameters.

O. Lisovyy
2007-03-02

63

Lorentz violation correction to the Aharonov-Bohm scattering

  CERN Preprints

Summary: In this paper, using a (2+1)-dimensional field theory approach we study the Aharonov-Bohm (AB) scattering with Lorentz symmetry breaking. We obtain the modified scattering amplitude to the AB effect due to the small Lorentz violation correction in breaking parameter and prove that up to one-loop the model is free from ultraviolet divergences.

Anacleto, M A
2015-01-01

64

Putting a Spin on the Aharonov-Bohm Oscillations

  Quantum Physics (arXiv)

Summary: An experiment that shows the modulation of the Aharonov-Bohm oscillations of magneto-resistance in a mesoscopic ring is described. Possible theoretical explanations of this modulation due to the interaction of the electron spin with the magnetic and electric fields are considered.

Jeeva Anandan
2002-12-17

65

On geometric interpretation of the Aharonov-Bohm effect

  Mathematical Physics (arXiv)

Summary: A geometric interpretation of the Aharonov--Bohm effect is given in terms of connections on principal fiber bundles. It is demonstrated that the principal fiber bundle can be trivial while the connection and its holonomy group are nontrivial. Therefore, the main role is played by geometric rather than topological effects.

M. O. Katanaev
2012-12-09

66

Spectral and scattering theory for the Aharonov-Bohm operators

  Mathematical Physics (arXiv)

Summary: We review the spectral and the scattering theory for the Aharonov-Bohm model on R^2. New formulae for the wave operators and for the scattering operator are presented. The asymptotics at high and at low energy of the scattering operator are computed.

K. Pankrashkin; S. Richard
2009-12-01

67

Lorentz violation correction to the Aharonov-Bohm scattering

  HEP - Theory (arXiv)

Summary: In this paper, using a (2+1)-dimensional field theory approach we study the Aharonov-Bohm (AB) scattering with Lorentz symmetry breaking. We obtain the modified scattering amplitude to the AB effect due to the small Lorentz violation correction in breaking parameter and prove that up to one-loop the model is free from ultraviolet divergences.

M. A. Anacleto
2015-05-13

68

The Aharonov-Bohm effect for a knotted magnetic solenoid

  HEP - Theory (arXiv)

Summary: We show that the linking of a semiclassical path of a charged particle with a knotted magnetic solenoid results in the Aharonov-Bohm effect. The phase shift in the wave function is proportional to the flux intersecting a certain connected and orientable surface bounded by the knot (a Seifert surface of the knot).

Roman V. Buniy; Thomas W. Kephart
2008-08-13

69

Group-Theoretical Derivation of Aharonov-Bohm Phase Shifts

  Mathematical Physics (arXiv)

Summary: The phase shifts of the Aharonov-Bohm effect are generally determined by means of the partial wave decomposition of the underlying Schrodinger equation. It is shown here that they readily emerge from an o(2,1) calculation of the energy levels employing an added harmonic oscillator potential which discretizes the spectrum.

C. R. Hagen
2012-11-16

70

Noiseless Quantum Transmission of Information via Aharonov - Bohm Effect

  Quantum Physics (arXiv)

Summary: The possibility of quantum transmission of information via the induced fractional angular momentum by the Aharonov - Bohm vector potential is revealed. Its special advantage is that it is noiseless: Stray magnetic fields of environments influence the energy spectrum of the ion, but cannot contribute the fractional angular momentum to cause noise.

Jian-Zu Zhang
2008-10-24

71

Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension

  Quantum Physics (arXiv)

Summary: We suggest as gedanken experiment a generalization of the Aharonov-Bohm experiment, based on an array of solenoids. This experiment allows in principle to measure the decomposition into homotopy classes of the quantum mechanical propagator. This yields information on the geometry of the average path of propagation and allows to determine its Hausdorff dimension.

H. Kr{ö}ger
1997-01-31

72

Diffraction and quasiclassical limit of the Aharonov--Bohm effect

  Quantum Physics (arXiv)

Summary: Since the Aharonov-Bohm effect is the purely quantum effect that has no analogues in classical physics, its persistence in the quasiclassical limit seems to be hardly possible. Nevertheless, we show that the scattering Aharonov-Bohm effect does persist in the quasiclassical limit owing to the diffraction, i.e. the Fraunhofer diffraction in the case when space outside the enclosed magnetic flux is Euclidean, and the Fresnel diffraction in the case when the outer space is conical. Hence, the enclosed magnetic flux can serve as a gate for the propagation of short-wavelength, almost classical, particles. In the case of conical space, this quasiclassical effect which is in principle detectable depends on the particle spin.

Yu. A. Sitenko; N. D. Vlasii
2010-11-01

73

Aharonov-Bohm Effect in Cyclotron and Synchrotron Radiations

  HEP - Theory (arXiv)

Summary: We study the impact of Aharonov-Bohm solenoid on the radiation of a charged particle moving in a constant uniform magnetic field. With this aim in view, exact solutions of Klein-Gordon and Dirac equations are found in the magnetic-solenoid field. Using such solutions, we calculate exactly all the characteristics of one-photon spontaneous radiation both for spinless and spinning particle. Considering non-relativistic and relativistic approximations, we analyze cyclotron and synchrotron radiations in detail. Radiation peculiarities caused by the presence of the solenoid may be considered as a manifestation of Aharonov-Bohm effect in the radiation. In particular, it is shown that new spectral lines appear in the radiation spectrum. Due to angular distribution peculiarities of the radiation intensity, these lines can in principle be isolated from basic cyclotron and synchrotron radiation spectra

V. G. Bagrov; D. M. Gitman; A. Levin; V. B. Tlyachev
2000-11-06

74

Aharonov-Bohm Effect in Cyclotron and Synchrotron Radiations

  CERN Preprints

Summary: We study the impact of Aharonov-Bohm solenoid on the radiation of a charged particle moving in a constant uniform magnetic field. With this aim in view, exact solutions of Klein-Gordon and Dirac equations are found in the magnetic-solenoid field. Using such solutions, we calculate exactly all the characteristics of one-photon spontaneous radiation both for spinless and spinning particle. Considering non-relativistic and relativistic approximations, we analyze cyclotron and synchrotron radiations in detail. Radiation peculiarities caused by the presence of the solenoid may be considered as a manifestation of Aharonov-Bohm effect in the radiation. In particular, it is shown that new spectral lines appear in the radiation spectrum. Due to angular distribution peculiarities of the radiation intensity, these lines can in principle be isolated from basic cyclotron and synchrotron radiation spectra

Bagrov, V G; Levin, A; Tlyachev, V B
2000-01-01

75

Symmetry-protected many-body Aharonov-Bohm effect

  HEP - Theory (arXiv)

Summary: It is known as a purely quantum effect that a magnetic flux affects the real physics of a particle, such as the energy spectrum, even if the flux does not interfere with the particle's path - the Aharonov-Bohm effect. Here we examine an Aharonov-Bohm effect on a many-body wavefunction. Specifically, we study this many-body effect on the gapless edge states of a bulk gapped phase protected by a global symmetry (such as $\\mathbb{Z}_{N}$) - the symmetry-protected topological (SPT) states. The many-body analogue of spectral shifts, the twisted wavefunction and the twisted boundary realization are identified in this SPT state. An explicit lattice construction of SPT edge states is derived, and a challenge of gauging its non-onsite symmetry is overcome. Agreement is found in the twisted spectrum between a numerical lattice calculation and a conformal field theory prediction.

Luiz H. Santos; Juven Wang
2014-08-19

76

Potential Effect: Aharonov-Bohm Effect of Simply Connected Region

  Quantum Physics (arXiv)

Summary: We study a generalization of Aharonov-Bohm effect, the potential effect. The discussion is focused on field-free effects in simply connected region, which obviously can not have any local field-flux. Among the published discussions about this kind of effects, it is generally agreed that this kind of effects does not exist due to gauge invariance. However, there are also opinions that this effect is a trivial variation of Aharonov-Bohm effect and therefore there is no need to check its existence. To my knowledge, it has never been tested. My first goal here is to supply enough theoretical reason to motivate the experimental test of this effect. I start with an intuitive derivation, then I introduce a wave-front theory as a theoretical consideration. Logically, the existence of potential effect implies the existence of the AB effect, but not vice versa. The purpose of this paper is to provide a physical connection in the opposite direction.

Jùn L{\\'?}u
1995-06-25

77

Local description of the molecular Aharonov-Bohm effect

  CERN Preprints

Summary: The Aharonov-Bohm effect is one of the most comprehensible examples of quantum non-locality. The so called molecular Aharonov-Bohm effect displays great similarities with the latter, but still, we show how this effect can be explained using arguments relying solely on locality, whereby we mean that the effect can be traced down to a force acting locally on the phase space distribution. Our method hinges on studying the system in its momentum representation, and introducing a "conjugate gauge potential" which render an everywhere non-zero synthetic magnetic field. The resulting Lorenz force induces a transverse current which can be attributed the equivalence of an intrinsic spin Hall effect. The idea is demonstrated for the linear Exe Jahn-Teller model and applied to the Li3 molecule, for which its corresponding Hamiltonian is obtained by diabatization of ab intio determined adiabatic potential energy surfaces.

Larson, Jonas; Larson, Asa
2013-01-01

78

The Aharonov--Bohm effect in scattering theory

  Mathematical Physics (arXiv)

Summary: The Aharonov--Bohm effect is considered as a scattering event with nonrelativistic charged particles of the wavelength which is less than the transverse size of an impenetrable magnetic vortex. The quasiclassical WKB method is shown to be efficient in solving this scattering problem. We find that the scattering cross section consists of two terms, one describing the classical phenomenon of elastic reflection and another one describing the quantum phenomenon of diffraction; the Aharonov--Bohm effect is manifested as a fringe shift in the diffraction pattern. Both the classical and the quantum phenomena are independent of the choice of a boundary condition at the vortex edge, providing that probability is conserved. We show that a propagation of charged particles can be controlled by altering the flux of a magnetic vortex placed on their way.

Yu. A. Sitenko; N. D. Vlasii
2013-12-05

79

Gauge Equivalence and Inverse Scattering for Aharonov-Bohm Effect

  Mathematical Physics (arXiv)

Summary: We consider the Aharonov-Bohm effect for the Schroedinger operator and the related inverse problem in an exterior domain the 2-dim. Euclidean space with Dirichlet boundary condition. We study the structure and asymptotics of generalized eigenfunctions and show that the scattering operator determines the domain and the Hamiltonian up to Gauge equivalence under the equal flux condition. We also show that the flux is determined by the scattering operator if the obstacle is convex.

Gregory Eskin; Hiroshi Isozaki; Stephen O'Dell
2010-03-02

80

Conditional Aharonov-Bohm Phases with Double Quantum Dots

  Quantum Physics (arXiv)

Summary: A quantum dot proposal for the implementation of topological quantum computation is presented. The coupling of the electron charge to an external magnetic field via the Aharonov-Bohm effect, combined with the control dynamics of a double dot, results in a two-qubit control phase gate. The physical mechanisms of the system are analysed in detail and the conditions for performing quantum computation resilient to control errors are outlined and found to be realisable with present technology.

Roberta Rodriquez; Jiannis K. Pachos
2004-05-13

81

Hydrino like states in graphene and Aharonov-Bohm field

  CERN Preprints

Summary: We study the dynamics of fermions on graphene in presence of Coulomb impurities and Aharonov-Bohm field. Special emphasis is given to the formation of hydrino like states and its lifting of degeneracy due to the presence of AB field. The flux of the AB field can be tuned to make the low angular momentum hydrino states stable against decay. The zero limit physics of the two coupling constants \\alpha_G and \\Phi involved in the system is discussed.

Giri, Pulak Ranjan
2008-01-01

82

Quantum anholonomies in time-dependent Aharonov-Bohm rings

  Nuclear Theory (arXiv)

Summary: Anholonomies in eigenstates are studied through time-dependent variations of a magnetic flux in an Aharonov-Bohm ring. The anholonomies in the eigenenergy and the expectation values of eigenstates are shown to persist beyond the adiabatic regime. The choice of the gauge of the magnetic flux is shown to be crucial to clarify the relationship of these anholonomies to the eigenspace anholonomy, which is described by a non-Abelian connection in the adiabatic limit.

Atushi Tanaka; Taksu Cheon
2010-08-12

83

Radiative Corrections to the Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: We consider the scattering of relativistic electrons from a thin magnetic flux tube and perturbatively calculate the order $\\alpha$, radiative correction, to the first order Born approximation. We show also that the second order Born amplitude vanishes, and obtain a finite inclusive cross section for the one-body scattering which incorporates soft photon bremsstrahlung effects. Moreover, we determine the radiatively corrected Aharonov-Bohm potential and, in particular, verify that an induced magnetic field is generated outside of the flux tube.

L. C. de Albuquerque; M. Gomes; A. J. da Silva
1999-06-22

84

Radiative Corrections to the Aharonov-Bohm Scattering

  CERN Preprints

Summary: We consider the scattering of relativistic electrons from a thin magnetic flux tube and perturbatively calculate the order $\\alpha$, radiative correction, to the first order Born approximation. We show also that the second order Born amplitude vanishes, and obtain a finite inclusive cross section for the one-body scattering which incorporates soft photon bremsstrahlung effects. Moreover, we determine the radiatively corrected Aharonov-Bohm potential and, in particular, verify that an induced magnetic field is generated outside of the flux tube.

D'Albuquerque, L C; Da Silva, A J
2000-01-01

85

Hydrino like states in graphene and Aharonov-Bohm field

  Mathematical Physics (arXiv)

Summary: We study the dynamics of fermions on graphene in presence of Coulomb impurities and Aharonov-Bohm field. Special emphasis is given to the formation of hydrino like states and its lifting of degeneracy due to the presence of AB field. The flux of the AB field can be tuned to make the low angular momentum hydrino states stable against decay. The zero limit physics of the two coupling constants \\alpha_G and \\Phi involved in the system is discussed.

Pulak Ranjan Giri
2008-08-25

86

Spectroscopic version of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: An experiment is proposed in which the Aharonov-Bohm effect can be veryfied through a spectroscopic measurement. The apparatus consists of gaseous hydrochloric acid (HCl) immersed in the constant vector potential ${\\bf A}=A_0{\\bf z}$ present in the center of a toroidal coil, where ${\\bf B}=0$. Changes due to ${\\bf A}$ in the absorption spectrum of the gas are investigated.

C. Laganá
2015-06-01

87

On the Nonabelian Aharonov Bohm Scattering of Spinless Particles

  HEP - Theory (arXiv)

Summary: The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a nonabelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop renormalization program is implemented. Through the introduction of an intermediary cutoff, separating the regions of high and low integration momentum, the nonrelativistic limit is derived. The next to leading relativistic approximation is also determined. In this approach quantum field theory vacuum polarization effects are automatically incorporated.

M. Gomes; L. C. Malacarne; A. J. da Silva
1998-12-01

88

Levinson theorem for Aharonov-Bohm scattering in two dimensions

  Quantum Physics (arXiv)

Summary: We apply the recently generalized Levinson theorem for potentials with inverse square singularities [Sheka et al, Phys.Rev.A, v.68, 012707 (2003)] to Aharonov-Bohm systems in two-dimensions. By this theorem, the number of bound states in a given m-th partial wave is related to the phase shift and the magnetic flux. The results are applied to 2D soliton-magnon scattering.

Denis D. Sheka; Franz G. Mertens
2006-09-25

89

On a generalized gravitational Aharonov-Bohm effect

  General Relativity & Quantum Cosmology (arXiv)

Summary: A massless spinor particle is considered in the background gravitational field due to a rotating body. In the weak field approximation it is shown that the solution of the Weyl equations depend on the angular momentum of the rotating body, which does not affect the curvature in this approximation. This result may be looked upon as a generalization of the gravitational Aharonov-Bohm effect.

Geusa de A. Marques; V. B. Bezerra
2003-02-07

90

Aharonov-Bohm Effect: a Quantum Variation and Classical Analogy

  Quantum Physics (arXiv)

Summary: In this work we consider a quantum variation of the usual Aharonov-Bohm effect with two solenoids sufficiently close one to the other so that (external) electron cannot propagate between two solenoids but only around both solenoids. Here magnetic field (or classical vector potential of the electromagnetic field) acting at quantum propagating (external) electron represents the quantum mechanical average value or statistical mixture. It is obtained by wave function of single (internal, quantum propagating within some solenoid wire) electron (or homogeneous ensemble of such (internal) electrons) representing a quantum superposition with two practically non-interfering terms. All this implies that phase difference and interference shape translation of the quantum propagating (external) electron represent the quantum mechanical average value or statistical mixture. On the other hand we consider a classical analogy and variation of the usual Aharonov-Bohm effect in which Aharonov-Bohm solenoid is used for the primary coil inside secondary large coil in the remarkable classical Faraday experiment of the electromagnetic induction.

Vladan Pankovic; Darko Kapor; Stevica Djurovic; Milan Pantic
2014-04-23

91

Observation of "Partial Coherence" in an Aharonov-Bohm Interferometer with a Quantum Dot

  Physics Websites

Summary: Observation of "Partial Coherence" in an Aharonov-Bohm Interferometer with a Quantum Dot Hisashi in an Aharonov-Bohm (AB) interferometer. We have picked up a spin-pair state, for which the environmental and in the interferometer. PACS numbers: 73.21.La, 73.23.Hk, 03.65.Yz Mesoscopic systems are excellent test stages of quan

Iye, Yasuhiro

92

Resolvent Convergence in Norm for Dirac Operator with Aharonov--Bohm Field

  Mathematics Websites

Summary: Resolvent Convergence in Norm for Dirac Operator with Aharonov--Bohm Field Hideo Tamura Department of Mathematics, Okayama University Okayama 700--8530, Japan Abstract We consider the Hamiltonian for relativistic particles moving in the Aharonov--Bohm magnetic field in two dimensions. The field has #--like singularity


93

Aharonov-Bohm effect in the chiral Luttinger liquid Michael R. Geller

  Physics Websites

Summary: Aharonov-Bohm effect in the chiral Luttinger liquid Michael R. Geller Department of Physics, Simon, as described by chiral Luttinger liquid theory, and use it to study the Aharonov-Bohm effect. The problem we T T0 , which may also be used to distinguish between chiral Fermi liquid and chiral Luttinger liquid

Geller, Michael R.

94

The incident wave in Aharonov-Bohm scattering wavefunction

  HEP - Theory (arXiv)

Summary: It is shown that only the infinite angular momentum quantum states contribute to the incident wave in Aharonov-Bohm (AB) scattering. This result is clearly shown by recalculating the AB calculation with arbitrary decomposition of summation over the angular momentum quantum numbers in wave function. It is motivated from the fact that the pole contribution in the integral representation used by Jackiw is given by only the infinite angular momentum states, in which the closed contour integration involving this pole gives just the incident wave.

Sahng-Kyoon Yoo; D. K. Park
1997-07-02

95

On the Locality Principle Keeping in Aharonov-Bohm Effect

  Physics (arXiv)

Summary: The locality principle fulfillment in the Aharonov-Bohm (AB) effect is analyzed from the point of view of a self-sufficient potential formalism based on so-called gradient hypothesis in electrodynamics. The "magnetic" kind of AB effect is examined (as the quantum charged particle moves to an infinitely long solenoid with a permanent current), and no locality principle violation recognized if the gradient hypothesis is used. A conclusion is made that AB effect is no longer a physical and electrodynamic "paradox".

Alexander Gritsunov; Natalie Masolova
2013-07-01

96

QED processes beyond the Aharonov-Bohm effect

  CERN Preprints

Summary: We consider QED - processes in the presence of an infinitely thin and infinitely long straight string with a magnetic flux inside it. The bremsstrahlung from an electron passing by the magnetic string and the electron-positron pair production by a single photon are reviewed. Based on the exact electron and positron solutions of the Dirac equation in the external Aharonov-Bohm potential we present matrix elements for these processes. The dependence of the resulting cross sections on energies, directions and polarizations of the involved particles is discussed for low energies.

Audretsch, J
1998-01-01

97

QED processes beyond the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: We consider QED - processes in the presence of an infinitely thin and infinitely long straight string with a magnetic flux inside it. The bremsstrahlung from an electron passing by the magnetic string and the electron-positron pair production by a single photon are reviewed. Based on the exact electron and positron solutions of the Dirac equation in the external Aharonov-Bohm potential we present matrix elements for these processes. The dependence of the resulting cross sections on energies, directions and polarizations of the involved particles is discussed for low energies.

J. Audretsch; V. D. Skarzhinsky
1997-09-14

98

Strings and Aharonov-Bohm Effect in Abelian Higgs Model

  HEP - Phenomenology (arXiv)

Summary: We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D abelian Higgs model. The fractal dimension D_f of the vortex strings was found to be large in the Coulomb phase and it is close to 2 in the Higgs phase. We also show that the Wilson loop for non-integer charges is correlated with the linking number of the vortex string world sheets and the test particle world trajectory. We find that this topological (Aharonov-Bohm) interaction gives the main contribution to the Wilson loop quantum average for non-integer test charges in the vicinity of the Coulomb-Higgs phase transition.

M. N. Chernodub; M. I. Polikarpov; A. I. Veselov; M. A. Zubkov
1998-04-02

99

Two-Color QCD and Aharonov-Bohm Fluxes

  HEP - Lattice (arXiv)

Summary: We investigate the effects of several Abelian Aharonov-Bohm fluxes $\\phi$ on the Euclidean Dirac spectrum of light quarks in QCD with two colors. A quantitative change in the quark return probability is caused by the fluxes, resulting into a change of the spectral correlations. These changes are controlled by a universal function of $\\sigma_L \\phi^2$ where $\\sigma_L$ is the pertinent Ohmic conductance. The quark return probability is sensitive to Abelian flux-disorder but not to $Z_2$ flux-disorder in the ergodic and diffusive regime, and may be used as a probe for the nature of the confining fields in the QCD vacuum.

Romuald A. Janik; Maciej A. Nowak; Gabor Papp; Ismail Zahed
1998-07-26

100

Perturbation Theory and the Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: The perturbation theory expansion of the Aharonov-Bohm scattering amplitude has previously been studied in the context of quantum mechanics for spin zero and spin-1/2 particles as well in Galilean covariant field theory. This problem is reconsidered in the framework of the model in which the flux line is considered to have a finite radius which is shrunk to zero at the end of the calculation. General agreement with earlier results is obtained but with the advantage of a treatment which unifies all the various subcases.

C. R. Hagen
1995-03-06

101

A macroscopic test of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The Aharonov-Bohm (AB) effect is a purely quantum mechanical effect. The original (classified as Type-I) AB-phase shift exists in experimental conditions where the electromagnetic fields and forces are zero. It is the absence of forces that makes the AB-effect entirely quantum mechanical. Although the AB-phase shift has been demonstrated unambiguously, the absence of forces in Type-I AB-effects has never been shown. Here, we report the observation of the absence of time delays associated with forces of the magnitude needed to explain the AB-phase shift for a macroscopic system.

Adam Caprez; Brett Barwick; Herman Batelaan
2007-08-17

102

The gravitational analog of the Aharonov-Bohm electric effect

  Quantum Physics (arXiv)

Summary: The electric Aharonov-Bohm effect is a special case of the general Ab effect. However, when inserting a gravitational potential in the place of the time dependent potential, a different understanding of the phase shift could be gained. The usual topological phase is replaced by a phase with origin in the red shift of the particle at one of the paths taken relative to the other path. In this case, the change in the geometrical measure is the source of the phase shift, which therefore has a local interpretation along with the non-local topological explanation.

Doron M. Ludwin
2010-12-27

103

Combined Electric and Magnetic Aharonov-Bohm Effects

  Quantum Physics (arXiv)

Summary: It is well-known that the electric and magnetic Aharonov-Bohm effects may be formally described on equal footing using the four-vector potential in a relativistic framework. We propose an illustrative manifestation of both effects in a single configuration, in which the specific path of the charged particle determines the weight of the electric and magnetic acquired relative phases. The phases can be distinctively obtained in the Coulomb gauge. The scheme manifests the pedagogical lesson that though each of the relative phases is gauge-dependent their sum is gauge-invariant.

Samuel Marcovitch; Yakir Aharonov; Tirza Kaufferr; Benni Reznik
2007-09-11

104

Realization of adiabatic Aharonov-Bohm scattering with neutrons

  Quantum Physics (arXiv)

Summary: The adiabatic Aharonov-Bohm (AB) effect is a manifestation of the Berry phase acquired when some slow variables take a planar spin around a loop. While the effect has been observed in molecular spectroscopy, direct measurement of the topological phase shift in a scattering experiment has been elusive in the past. Here, we demonstrate an adiabatic AB effect for neutrons that scatter on a long straight current-carrying wire. We propose an experiment to verify the effect and demonstrate its feasibility by explicit simulation of the dynamics of unpolarized very slow neutrons that scatter on the wire under realistic conditions.

Erik Sjöqvist; Martin Almquist; Ken Mattsson; Zeynep Nilhan Gürkan; Björn Hessmo
2015-03-08

105

Magnetic Force Exerted by the Aharonov-Bohm Line

  Quantum Physics (arXiv)

Summary: The problem of the scattering of a charge by the Aharonov-Bohm (AB) flux line is reconsidered in terms of finite width beams. It is shown that despite the left-right symmetry in the AB scattering cross-section, the charge is scattered asymmetrically. The asymmetry (i.e. magnetic force) originates from almost forward scattering within the angular size of the incident wave. In the paraxial approximation, the real space solution to the scattering problem of a beam is found as well as the scattering S-matrix. The Boltzmann kinetics and the Landau quantization in a random AB array are considered.

Andrei Shelankov
1998-04-02

106

On the Locality Principle Keeping in Aharonov-Bohm Effect

  CERN Preprints

Summary: The locality principle fulfillment in the Aharonov-Bohm (AB) effect is analyzed from the point of view of a self-sufficient potential formalism based on so-called gradient hypothesis in electrodynamics. The "magnetic" kind of AB effect is examined (as the quantum charged particle moves to an infinitely long solenoid with a permanent current), and no locality principle violation recognized if the gradient hypothesis is used. A conclusion is made that AB effect is no longer a physical and electrodynamic "paradox".

Gritsunov, Alexander
2013-01-01

107

Gravitational Aharonov-Bohm effect and gravitational lensing

  General Relativity & Quantum Cosmology (arXiv)

Summary: Considering the spacetime around a rotating massif body it is seen that the time of flight of a light ray is different whether it travels on one side of the source or on the other. The difference is proportional to the angular momentum of the body. In the case that a compact rapidly rotating object is the source of a gravitational lensing effect, the contribution coming from the above mentioned gravitational Aharonov-Bohm effect should be added to the other causes of phase difference between light rays coming from different images of the same object.

A. Tartaglia
2000-03-08

108

Strings and Aharonov-Bohm Effect in Abelian Higgs Model

  CERN Preprints

Summary: We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D abelian Higgs model. The fractal dimension D_f of the vortex strings was found to be large in the Coulomb phase and it is close to 2 in the Higgs phase. We also show that the Wilson loop for non-integer charges is correlated with the linking number of the vortex string world sheets and the test particle world trajectory. We find that this topological (Aharonov-Bohm) interaction gives the main contribution to the Wilson loop quantum average for non-integer test charges in the vicinity of the Coulomb-Higgs phase transition.

Chernodub, M N; Veselov, A I; Zubkov, M A
1998-01-01

109

Complemetarity of Phases in Aharonov-Bohm Solenoid Effect

  Quantum Physics (arXiv)

Summary: In the present Note it is suggested that there should be a certain complementarity of phases between Aharonov-Bohm (AB) solenoid phase calculation on one part of the system and a phase calculation about another part of the physical system. Assuming a unique value for the function of the total system, after a complete circulation of the electron around the solenoid, the sum of these two phase changes should vanish. Such assumption leads to a compatibility relation between our previous calculations for the AB solenoid phase effect and that of the original calculation by AB.

Y. Ben-Aryeh
2011-12-21

110

Analogue Aharonov-Bohm effect in neo-Newtonian theory

  CERN Preprints

Summary: We address the issues of the scattering of massless planar scalar waves by an acoustic black hole in neo-Newtonian hydrodynamics. We then compute the differential cross section through the use of the partial wave approach in the neo-Newtonian theory which is a modification of the usual Newtonian theory that correctly incorporates the effects of pressure. We mainly show that the scattering of planar waves leads to a modified analogue Aharonov-Bohm effect due to a nontrivial response of the parameters defining the equation of state.

Anacleto, M A; Brito, F A; Passos, E
2015-01-01

111

Analogue Aharonov-Bohm effect in neo-Newtonian theory

  HEP - Theory (arXiv)

Summary: We address the issues of the scattering of massless planar scalar waves by an acoustic black hole in neo-Newtonian hydrodynamics. We then compute the differential cross section through the use of the partial wave approach in the neo-Newtonian theory which is a modification of the usual Newtonian theory that correctly incorporates the effects of pressure. We mainly show that the scattering of planar waves leads to a modified analogue Aharonov-Bohm effect due to a nontrivial response of the parameters defining the equation of state.

M. A. Anacleto; I. G. Salako; F. A. Brito; E. Passos
2015-06-10

112

The gravitational analog of the Aharonov-Bohm electric effect

  CERN Preprints

Summary: The electric Aharonov-Bohm effect is a special case of the general Ab effect. However, when inserting a gravitational potential in the place of the time dependent potential, a different understanding of the phase shift could be gained. The usual topological phase is replaced by a phase with origin in the red shift of the particle at one of the paths taken relative to the other path. In this case, the change in the geometrical measure is the source of the phase shift, which therefore has a local interpretation along with the non-local topological explanation.

Ludwin, Doron M
2010-01-01

113

Remarks on magnetic and electric Aharonov-Bohm effects

  Mathematical Physics (arXiv)

Summary: We give a direct proof of the magnetic Aharonov-Bohm effects without using the scattering theory and the theory of inverse boundary value problems. This proof can serve as a framework for a physical experiment to confirm the magnetic AB effect. We prove also the electric AB effect and we suggest a physical experiment to demonstrate the electric AB effect. In addition, we consider a combined electric and magnetic AB effect and we propose a new inverse problem for the time-dependent Schr\\"odinger equations. Finally we study the gravitational AB effect.

Gregory Eskin
2011-09-17

114

Topology, Locality, and Aharonov-Bohm Effect with Neutrons

  HEP - Theory (arXiv)

Summary: Recent neutron interferometry experiments have been interpreted as demonstrating a new topological phenomenon similar in principle to the usual Aharonov-Bohm (AB) effect, but with the neutron's magnetic moment replacing the electron's charge. We show that the new phenomenon, called Scalar AB (SAB) effect, follows from an ordinary local interaction, contrary to the usual AB effect, and we argue that the SAB effect is not a topological effect by any useful definition. We find that SAB actually measures an apparently novel spin autocorrelation whose operator equations of motion contain the local torque in the magnetic field. We note that the same remarks apply to the Aharonov-Casher effect.

Murray Peshkin; H. J. Lipkin
1995-01-13

115

Aharonov-Bohm-Coulomb Problem in Graphene Ring

  Quantum Physics (arXiv)

Summary: We study the Aharonov-Bohm-Coulomb problem in a graphene ring. We investigate, in particular, the effects of a Coulomb type potential of the form $\\xi/r$ on the energy spectrum of Dirac electrons in the graphene ring in two different ways: one for the scalar coupling and the other for the vector coupling. It is found that, since the potential in the scalar coupling breaks the time-reversal symmetry between the two valleys as well as the effective time-reversal symmetry in a single valley, the energy spectrum of one valley is separated from that of the other valley, demonstrating a valley polarization. In the vector coupling, however, the potential does not break either of the two symmetries and its effect appears only as an additive constant to the spectrum of Aharonov-Bohm potential. The corresponding persistent currents, the observable quantities of the symmetry-breaking energy spectra, are shown to be asymmetric about zero magnetic flux in the scalar coupling, while symmetric in the vector coupling.

Eylee Jung; Mi-Ra Hwang; ChangSoo Park; DaeKil Park
2012-01-14

116

Aharonov-Bohm and Coulomb Scattering Near the Forward Direction

  HEP - Theory (arXiv)

Summary: The exact wave functions that describe scattering of a charged particle by a confined magnetic field (Aharonov-Bohm effect) and by a Coulomb field are analyzed. It is well known that the usual procedure of finding asymptotic forms of these functions which admit a separation into a superposition of an incident plane wave and a circular or spherical scattered wave is problematic near the forward direction. It thus appears to be impossible to express the conservation of probability by means of an optical theorem of the usual kind. Both the total cross section and the forward scattering amplitude appear to be infinite. To address these difficulties we find a new representation for the asymptotic form of the Aharonov-Bohm wave function that is valid for all angles. Rather than try to define a cross section at forward angles, however, we work instead with the probability current and find that it is quite well behaved. The same is true for Coulomb scattering. We trace the usual difficulties to a nonuniformity of limits.

Charles M. Sommerfield; Hisakazu Minakata
2000-07-07

117

Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup

  Quantum Physics (arXiv)

Summary: We analyze a Hanbury Brown Twiss geometry in which particles are injected from two independent sources into a mesoscopic electrical conductor. The set-up has the property that all partial waves end in different reservoirs without generating any single particle interference. There is no single particle Aharonov-Bohm effect. However, exchange effects lead to two-particle Aharonov-Bohm oscillations in current correlations. We demonstrate that the two-particle Aharonov-Bohm effect is connected to orbital entanglement which can be used for violation of a Bell Inequality.

P. Samuelsson; E. V. Sukhorukov; M. Buttiker
2003-09-24

118

Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field

  Mathematical Physics (arXiv)

Summary: The most general admissible boundary conditions are derived for an idealised Aharonov-Bohm flux intersecting the plane at the origin on the background of a homogeneous magnetic field. A standard technique based on self-adjoint extensions yields a four-parameter family of boundary conditions; other two parameters of the model are the Aharonov-Bohm flux and the homogeneous magnetic field. The generalised boundary conditions may be regarded as a combination of the Aharonov-Bohm effect with a point interaction. Spectral properties of the derived Hamiltonians are studied in detail.

Pavel Exner; Pavel Stovicek; Petr Vytras
2001-11-08

119

Gauge equivalence classes of flat connections in the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: In this note we present a simplified derivation of the fact that the moduli space of flat connections in the abelian Aharonov-Bohm effect is isomorphic to the circle. The length of this circle is the electric charge.

M. A. Aguilar; J. M. Isidro; M. Socolovsky
2003-05-23

120

Resistance Fluctuations and AharonovBohm-Type Oscillations in Antidot Arrays in the Quantum Hall Regime

  Physics Websites

Summary: Resistance Fluctuations and Aharonov­Bohm-Type Oscillations in Antidot Arrays in the Quantum Hall, 2008; published September 10, 2008) Resistance fluctuation phenomenon in antidot lattices plateau transition regime exhibits two types of oscillatory effect. One is the aperiodic resistance

Iye, Yasuhiro

121

The bound state Aharonov-Bohm effect around a cosmic string revisited

  General Relativity & Quantum Cosmology (arXiv)

Summary: In this article we observe that the self-adjoint extension of the Hamiltonian of a particle moving around a shielded cosmic string gives rise to a gravitational analogue of the bound state Aharonov-Bohm effect.

C. Filgueiras; Fernando Moraes
2005-09-26

122

Phase measurements in quantum mechanics: The Aharonov-Bohm interferometer and quantum noise

  Chemistry Websites

Summary: . A magnetic flux enclosed between the paths adds a Aharonov-Bohm (AB) phase difference, yielding a current on the quantum dot, which sits on one arm, and with the magnetic field B in the center. #12;

Vardi, Amichay

123

Photon mass and quantum effects of the Aharonov-Bohm type

  Quantum Physics (arXiv)

Summary: The magnetic field due to the photon rest mass $m_{ph}$ modifies the standard results of the Aharonov-Bohm effect for electrons, and of other recent quantum effects. For the effect involving a coherent superposition of beams of particles with opposite electromagnetic properties, by means of a table-top experiment, the limit $m_{ph}x10^{-51}g$ is achievable, improving by 6 orders of magnitude that derived by Boulware and Deser for the Aharonov-Bohm effect.

G. Spavieri; M. Rodriguez
2007-05-08

124

Photon mass and quantum effects of the Aharonov-Bohm type

  CERN Preprints

Summary: The magnetic field due to the photon rest mass $m_{ph}$ modifies the standard results of the Aharonov-Bohm effect for electrons, and of other recent quantum effects. For the effect involving a coherent superposition of beams of particles with opposite electromagnetic properties, by means of a table-top experiment, the limit $m_{ph}x10^{-51}g$ is achievable, improving by 6 orders of magnitude that derived by Boulware and Deser for the Aharonov-Bohm effect.

Spavieri, G
2007-01-01

125

Gravito-electromagnetic Aharonov-Bohm effect: some rotation effects revised

  General Relativity & Quantum Cosmology (arXiv)

Summary: By means of the description of the standard relative dynamics in terms of gravito-electromagnetic fields, in the context of natural splitting, we formally introduce the gravito-magnetic Aharonov-Bohm effect. Then, we interpret the Sagnac effect as a gravito-magnetic Aharonov-Bohm effect and we exploit this formalism for studying the General Relativistic corrections to the Sagnac effect in stationary and axially symmetric geometries.

Matteo Luca Ruggiero
2010-07-22

126

The Aharonov-Casher and scalar Aharonov-Bohm topological effects

  Quantum Physics (arXiv)

Summary: We reexamine the topological and nonlocal natures of the Aharonov-Casher and scalar Aharonov-Bohm phase effects. The underlying U(1) gauge structure is exhibited explicitly. And the conditions for developing topological Aharonov-Casher and scalar Aharonov-Bohm phases are clarified. We analyse the arguments of M. Peshkin and H. J. Lipkin (Phys. Rev. Lett. 74, 2847(1995)) in detail and show that they are based on the wrong Hamiltonian which yields their conclusion incorrect.

Sayipjamal Dulat; Kai Ma
2012-03-23

127

Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields

  Quantum Physics (arXiv)

Summary: We suggest a method for trapping photons in quasi one-dimensional waveguide or coupled-resonator lattices, which is based on an optical analogue of the Aharonov-Bohm cages for charged particles. Light trapping results from a destructive interference of Aharonov-Bohm type induced by a synthetic magnetic field, which is realized by periodic modulation of the waveguide/resonator propagation constants/resonances.

Stefano Longhi
2014-09-27

128

Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields

  CERN Preprints

Summary: We suggest a method for trapping photons in quasi one-dimensional waveguide or coupled-resonator lattices, which is based on an optical analogue of the Aharonov-Bohm cages for charged particles. Light trapping results from a destructive interference of Aharonov-Bohm type induced by a synthetic magnetic field, which is realized by periodic modulation of the waveguide/resonator propagation constants/resonances.

Longhi, Stefano
2014-01-01

129

Whirling Waves and the Aharonov-Bohm Effect for Relativistic Spinning Particles

  HEP - Theory (arXiv)

Summary: The formulation of Berry for the Aharonov-Bohm effect is generalized to the relativistic regime. Then, the problem of finding the self-adjoint extensions of the (2+1)-dimensional Dirac Hamiltonian, in an Aharonov-Bohm background potential, is solved in a novel way. The same treatment also solves the problem of finding the self-adjoint extensions of the Dirac Hamiltonian in a background Aharonov-Casher.

H. O. Girotti; F. Fonseca Romero
1996-12-05

130

Classical light analogue of the nonlocal Aharonov-Bohm effect

  CERN Preprints

Summary: We demonstrate the existence of a non-local geometric phase in the intensity-intensity correlations of classical incoherent light, that is not seen in the lower order correlations. This two-photon Pancharatnam phase was observed and modulated in a Mach-Zehnder interferometer. Using acousto-optic interaction, independent phase noise was introduced to light in the two arms of the interferometer to create two independent incoherent classical sources from laser light. The experiment is the classical optical analogue of the multi-particle Aharonov-Bohm effect. As the trajectory of light over the Poincare sphere introduces a phase shift observable only in the intensity-intensity correlation, it provides a means of deflecting the two-photon wavefront, while having no effect on single photons.

Satapathy, Nandan; Mehta, Poonam; Sinha, Supurna; Samuel, Joseph; Ramachandran, Hema
2012-01-01

131

Classical light analogue of the nonlocal Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: We demonstrate the existence of a non-local geometric phase in the intensity-intensity correlations of classical incoherent light, that is not seen in the lower order correlations. This two-photon Pancharatnam phase was observed and modulated in a Mach-Zehnder interferometer. Using acousto-optic interaction, independent phase noise was introduced to light in the two arms of the interferometer to create two independent incoherent classical sources from laser light. The experiment is the classical optical analogue of the multi-particle Aharonov-Bohm effect. As the trajectory of light over the Poincare sphere introduces a phase shift observable only in the intensity-intensity correlation, it provides a means of deflecting the two-photon wavefront, while having no effect on single photons.

Nandan Satapathy; Deepak Pandey; Poonam Mehta; Supurna Sinha; Joseph Samuel; Hema Ramachandran
2012-02-13

132

An Aharonov-Bohm interferometer for determining Bloch band topology

  Quantum Physics (arXiv)

Summary: The geometric structure of an energy band in a solid is fundamental for a wide range of many-body phenomena in condensed matter and is uniquely characterized by the distribution of Berry curvature over the Brillouin zone. In analogy to an Aharonov-Bohm interferometer that measures the magnetic flux penetrating a given area in real space, we realize an atomic interferometer to measure Berry flux in momentum space. We demonstrate the interferometer for a graphene-type hexagonal lattice, where it has allowed us to directly detect the singular $\\pi$ Berry flux localized at each Dirac point. We show that the interferometer enables one to determine the distribution of Berry curvature with high momentum resolution. Our work forms the basis for a general framework to fully characterize topological band structures and can also facilitate holonomic quantum computing through controlled exploitation of the geometry of Hilbert space.

Lucia Duca; Tracy Li; Martin Reitter; Immanuel Bloch; Monika Schleier-Smith; Ulrich Schneider
2014-07-21

133

Broken unitarity and phase measurements in Aharonov-Bohm interferometers

  Condensed Matter (arXiv)

Summary: Aharonov-Bohm mesoscopic solid-state interferometers yield a conductance which contains a term $\\cos(\\phi+\\beta)$, where $\\phi$ relates to the magnetic flux. Experiments with a quantum dot on one of the interfering paths aim to relate $\\beta$ to the dot's intrinsic Friedel transmission phase, $\\alpha_1$. For closed systems, which conserve the electron current (unitarity), the Onsager relation requires that $\\beta=0$. For open systems, we show that $\\beta$ depends in general on the details of the broken unitarity. Although it gives information on the resonances of the dot, $\\beta$ is generally not equal to $\\alpha_1$. A direct relation between $\\beta$ and $\\alpha_1$ requires specific ways of opening the system, which are discussed.

O. Entin-Wohlman; A. Aharony; Y. Imry; Y. Levinson; A. Schiller
2002-02-22

134

Noncommutative analogue Aharonov-Bohm effect and superresonance

  General Relativity & Quantum Cosmology (arXiv)

Summary: We consider the idea of modeling a rotating acoustic black hole by an idealized draining bathtub vortex which is a planar circulating flow phenomenon with a sink at the origin. We find the acoustic metric for this phenomenon from a noncommutative Abelian Higgs model. As such the acoustic metric not only describes a rotating acoustic black hole but also inherits the noncommutative characteristic of the spacetime. We address the issues of superresonance and analogue Aharonov-Bohm (AB) effect in this background. We mainly show that the scattering of planar waves by a draining bathtub vortex leads to a modified AB effect and due to spacetime noncommutativity, the phase shift persists even in the limit where the parameters associated with the circulation and draining vanish. Finally, we also find that the analogue AB effect and superresonance are competing phenomena at a noncommutative spacetime.

M. A. Anacleto; F. A. Brito; E. Passos
2013-05-27

135

Aharonov-Bohm quantum rings in high-Q microcavities

  Quantum Physics (arXiv)

Summary: A single-mode microcavity with an embedded Aharonov-Bohm quantum ring, which is pierced by a magnetic flux and subjected to a lateral electric field, is studied theoretically. It is shown that external electric and magnetic fields provide additional means of control of the emission spectrum of the system. In particular, when the magnetic flux through the quantum ring is equal to a half-integer number of the magnetic flux quantum, a small change in the lateral electric field allows tuning of the energy levels of the quantum ring into resonance with the microcavity mode providing an efficient way to control the quantum ring-microcavity coupling strength. Emission spectra of the system are calculated for several combinations of the applied magnetic and electric fields.

A. M. Alexeev; I. A. Shelykh; M. E. Portnoi
2013-02-08

136

Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: We study a system of electrons moving on a noncommutative plane in the presence of an external magnetic field which is perpendicular to this plane. For generality we assume that the coordinates and the momenta are both noncommutative. We make a transformation from the noncommutative coordinates to a set of commuting coordinates and then we write the Hamiltonian for this system. The energy spectrum and the expectation value of the current can then be calculated and the Hall conductivity can be extracted. We use the same method to calculate the phase shift for the Aharonov-Bohm effect. Precession measurements could allow strong upper limits to be imposed on the noncommutativity coordinate and momentum parameters $\\Theta$ and $\\Xi$.

B. Harms; O. Micu
2007-01-07

137

Non-Abelian Vortices with an Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: The interplay of gauge dynamics and flavor symmetries often leads to remarkably subtle phenomena in the presence of soliton configurations. Non-Abelian vortices -- vortex solutions with continuous internal orientational moduli -- provide an example. Here we study the effect of weakly gauging a U(1)_R subgroup of the flavor symmetry on such BPS vortex solutions. Our prototypical setting consists of an SU(2) x U(1) gauge theory with N_f=2 sets of fundamental scalars that break the gauge symmetry to an "electromagnetic" U(1). The weak U(1)_R gauging converts the well-known CP1 orientation modulus |B| of the non-Abelian vortex into a parameter characterizing the strength of the magnetic field that is responsible for the Aharonov-Bohm effect. As the phase of B remains a genuine zero mode while the electromagnetic gauge symmetry is Higgsed in the interior of the vortex, these solutions are superconducting strings.

Jarah Evslin; Kenichi Konishi; Muneto Nitta; Keisuke Ohashi; Walter Vinci
2013-12-23

138

Nonlinear Aharonov-Bohm scattering by optical vortices

  Condensed Matter (arXiv)

Summary: We study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what occurs in the scattered wave of electrons for the Aharonov-Bohm effect. For larger wave amplitudes, we study analytically and numerically the scattering of a dark-soliton stripe (a nonlinear analog of a small-amplitude wavepacket) by a vortex and observe a significant asymmetry of the scattered wave. Subsequently, a wavefront splitting of the scattered wave develops into transverse modulational instability, ``unzipping'' the stripe into trains of vortices with opposite charges.

Dragomir Neshev; Alexander Nepomnyashchy; Yuri S. Kivshar
2001-07-03

139

Universal Formula for the Expectation Value of the Radial Operator under the Aharonov-Bohm Flux and the Coulomb Field

  Quantum Physics (arXiv)

Summary: A useful and universal formula for the expectation value of the radial operator in the presence of the Aharonov-Bohm flux and the Coulomb Field is established. We find that the expectation value $< r^{\\lambda}>$ $(-\\infty \\leq \\lambda \\leq \\infty)$ is greatly affected due to the non-local effect of the magnetic flux although the Aharonov-Bohm flux does not have any dynamical significance in classical mechanics. In particular, the quantum fluctuation increases in the presence of the magnetic flux due to the Aharonov-Bohm effect. In addition, the Virial theory in quantum mechanics is also constructed for the spherically symmetric system under the Aharonov-Bohm effect.

W. F. Kao; Y. M. Kao; D. H. Lin
2002-10-14

140

Aharonov-Bohm Effect and High-Velocity Estimates of Solutions to the Schrödinger Equation

  Mathematical Physics (arXiv)

Summary: The Aharonov-Bohm effect is a fundamental and controversial issue in physics. At stake are what are the fundamental electromagnetic quantities in quantum physics, if magnetic fields can act at a distance on charged particles and if the magnetic potentials have a real physical significance. From the experimental side the issues were settled by the remarkable experiments of Tonomura et al. in 1982 and 1986 with toroidal magnets that gave a strong experimental evidence of the physical existence of the Aharonov-Bohm effect, and by the recent experiment of Caprez et al. in 2007 that shows that the results of these experiments can not be explained by a force. The Aharonov-Bohm Ansatz of 1959 predicts the results of the experiments of Tonomura et al. and of Caprez et al. In 2009 we gave the first rigorous proof that the Aharonov-Bohm Ansatz is a good approximation to the exact solution for toroidal magnets under the conditions of the experiments of Tonomura et al.. In this paper we prove that our results do not depend on the particular geometry of the magnets and on the velocities of the incoming electrons used on the experiments, and on the gaussian shape of the wave packets used to obtain our quantitative error bound. We consider a general class of magnets that are a finite union of handle bodies. We formulate the Aharonov-bohm Ansatz that is appropriate to this general case and we prove that the exact solution to the Schroedinger equation is given by the Aharonov-Bohm Ansatz up to an error bound in norm that is uniform in time and that decays as a constant divided by $v^\\rho, 0 < \\rho <1$, with $v$ the velocity. The results of Tonomura et al., of Caprez et al., our previous results and the results of this paper give a firm experimental and theoretical basis to the existence of the Aharonov-Bohm effect and to its quantum nature.

Miguel Ballesteros; Ricardo Weder
2010-04-04

141

Carbon nanotubes in confined magneticCarbon nanotubes in confined magnetic fields: AharonovBohm oscillations andfields: AharonovBohm oscillations and

  Physics Websites

Summary: ;The AB effect in carbon nano-tubes (CNTs) A. Bachtold et al., Nature 397, 673 (1999) S. Zaric et alCarbon nanotubes in confined magneticCarbon nanotubes in confined magnetic fields: Aharonov;OutlineOutline Aharonov-Bohm oscillations in Carbon nanotubes Curvature effects Persistent currents #12

Marini, Andrea

142

Free and bound spin-polarized fermions in the fields of Aharonov--Bohm kind

  Quantum Physics (arXiv)

Summary: The scattering of electrons by an Aharonov--Bohm field is considered from the viewpoint of quantum-mechanical problem of constructing a self-adjoint Hamiltonian for the Pauli equation. The correct domain for the self-adjoint Hamiltonian, which takes into account explicitly the electron spin is found. A one-parameter self-adjoint extension of the Hamiltonian for spin-polarized electrons in the Aharonov--Bohm field is selected. The correct domain of the self-adjoint Hamiltonian can contain regular and singular (at the point ${\\bf r}=0$) square-integrable functions on the half-line with measure $rdr$. We argue that the physical reason of the existence of singular functions is the additional attractive potential, which appear due to the interaction between the spin magnetic moment of fermion and Aharonov--Bohm magnetic field. The scattering amplitude and cross section are obtained for spin-polarized electrons scattered by the Aharonov--Bohm field. It is shown that in some range of the extension parameter there appears a bound state. Since the Hamiltonian of the nonrelativistic Dirac--Pauli equation for a massive neutral fermion with the anomalous magnetic moment (AMM) in the electric field of a linear charge aligned perpendicularly to the fermion motion has the form of the Hamiltonian for the Pauli equation in the Aharonov--Bohm flux tube, we also calculate the scattering amplitude and cross section for the neutral fermion.

V. R. Khalilov; I. V. Mamsurov; Lee Ki Eun
2010-02-15

143

Physica E 40 (2008) 12731275 AharonovBohm oscillations in p-type GaAs quantum rings

  Materials Science Websites

Summary: Physica E 40 (2008) 1273­1275 Aharonov­Bohm oscillations in p-type GaAs quantum rings Boris Grbic oxidation lithography. Highly visible Aharonov­Bohm (AB) oscillations are measured in both rings, with an amplitude of the oscillations exceeding 10% of the total resistance in the case of the ring with a radius

Ihn, Thomas
2008-01-01

144

Two-Particle Nonlocal Aharonov-Bohm Effect from Two Single-Particle Emitters Janine Splettstoesser,1

  Physics Websites

Summary: Two-Particle Nonlocal Aharonov-Bohm Effect from Two Single-Particle Emitters Janine Splettstoesser at different times. The two-particle correlations manifest themselves as an Aharonov-Bohm effect in noise a mesoscopic circuit in the quantum Hall effect regime comprising two uncorrelated single- particle sources


145

Analytical and Numerical Study of the Aharonov--Bohm Effect in 3D and 4D Abelian Higgs Model

  HEP - Lattice (arXiv)

Summary: We discuss the Aharonov--Bohm effect in three and four dimensional non--compact lattice Abelian Higgs model. We show analytically that this effect leads to the long--range Coulomb interaction of the charged particles, which is confining in three dimensions. The Aharonov--Bohm effect is found in numerical calculations in 3D Abelian Higgs model.

M. N. Chernodub; F. V. Gubarev; M. I. Polikarpov
1996-07-20

146

Aharonov--Bohm effect, electrodynamics postulates, and Lorentz condition

  Quantum Physics (arXiv)

Summary: The problem of the relation between the Ahronov-Bohm effect and traditional postulates of electrodynamics, which claim that only electric and magnetic fields are observable, is resolved by denial of the statement about validity of the Maxwell equations for microscopic fields. We proceed from the idea that the Maxwell equations, as the generalization of experimental data, are valid only for averaged values. We show that microscopic electrodynamics should be based on postulation of the d'Alembert equations for four-vector of the electromagnetic field potential. The Lorentz condition is valid only for the averages and provides the implementation of the Maxwell equations for averages. This concept eliminates the problem of electromagnetic field quantization and provides the correctness of all known results of quantum electrodynamics. Therefore, the "virtuality" of the longitudinal and scalar photons has a formal mathematical character, conditioned by the Maxwell equations for averaged fields. The longitudinal and scalar photons provide not only the Coulomb interaction of charged particles, but also allow the electrical Aharonov-Bohm effect.

V. B. Bobrov; S. A. Trigger; G. J. F. van Heijst; P. P. J. M. Schram
2013-06-28

147

Aharonov-Bohm interferences from local deformations in graphene

  Quantum Physics (arXiv)

Summary: One of the most interesting aspects of graphene is the tied relation between structural and electronic properties. The observation of ripples in the graphene samples both free standing and on a substrate has given rise to a very active investigation around the membrane-like properties of graphene and the origin of the ripples remains as one of the most interesting open problems in the system. The interplay of structural and electronic properties is successfully described by the modelling of curvature and elastic deformations by fictitious gauge fields that have become an ex- perimental reality after the suggestion that Landau levels can form associated to strain in graphene and the subsequent experimental confirmation. Here we propose a device to detect microstresses in graphene based on a scanning-tunneling-microscopy setup able to measure Aharonov-Bohm inter- ferences at the nanometer scale. The interferences to be observed in the local density of states are created by the fictitious magnetic field associated to elastic deformations of the sample.

Fernando de Juan; Alberto Cortijo; María A. H. Vozmediano; Andrés Cano
2011-05-04

148

Aharonov-Bohm effect, local field interaction, and Lorentz invariance

  Quantum Physics (arXiv)

Summary: Aharonov-Bohm (AB) effect [1,2], known as a milestone in our understanding of electromagnetic interactions, describes a quantum interference of a charged particle moving under the influence of a potential. In sharp contrast with classical theory of electrodynamics, AB effect qualifies potential as a physical reality, rather than as a mere mathematical tool, because the interference is affected by a potential even when a charged particle moves in a field-free region. Aharonov-Casher (AC) effect [3], dual to the AB phenomenon, shows a phase shift of a fluxon moving around a charge (in two-dimensional case). It has been shown that AC effect is also free of force [4,5], but standard view draws a clear distinction between the two phenomena in that the fluxon moves under a nonvanishing field generated by the charge in the case of AC effect [6]. Despite the fact that the observable phenomena depend only on the relative motion of a charge and a fluxon, a unified picture, fully consistent with the principle of relativity, is lacking. Here, we provide a unified theory which resolves the question of relativity, based on a Lorentz-invariant field-interaction between a charge and a localized flux. The AB effect can be understood in this fully relativistic viewpoint. The AB phase shift is derived from the Lorentz-covariant interaction Lagrangian, and the force-free nature of the effect is also confirmed.

Kicheon Kang
2015-02-03

149

Loop Quantum Gravity a la Aharonov-Bohm

  General Relativity & Quantum Cosmology (arXiv)

Summary: The state space of Loop Quantum Gravity admits a decomposition into orthogonal subspaces associated to diffeomorphism equivalence classes of spin-network graphs. In this paper I investigate the possibility of obtaining this state space from the quantization of a topological field theory with many degrees of freedom. The starting point is a 3-manifold with a network of defect-lines. A locally-flat connection on this manifold can have non-trivial holonomy around non-contractible loops. This is in fact the mathematical origin of the Aharonov-Bohm effect. I quantize this theory using standard field theoretical methods. The functional integral defining the scalar product is shown to reduce to a finite dimensional integral over moduli space. A non-trivial measure given by the Faddeev-Popov determinant is derived. I argue that the scalar product obtained coincides with the one used in Loop Quantum Gravity. I provide an explicit derivation in the case of a single defect-line, corresponding to a single loop in Loop Quantum Gravity. Moreover, I discuss the relation with spin-networks as used in the context of spin foam models.

Eugenio Bianchi
2009-09-10

150

Aharonov-Bohm interferences from local deformations in graphene

  CERN Preprints

Summary: One of the most interesting aspects of graphene is the tied relation between structural and electronic properties. The observation of ripples in the graphene samples both free standing and on a substrate has given rise to a very active investigation around the membrane-like properties of graphene and the origin of the ripples remains as one of the most interesting open problems in the system. The interplay of structural and electronic properties is successfully described by the modelling of curvature and elastic deformations by fictitious gauge ?elds that have become an ex- perimental reality after the suggestion that Landau levels can form associated to strain in graphene and the subsequent experimental con?rmation. Here we propose a device to detect microstresses in graphene based on a scanning-tunneling-microscopy setup able to measure Aharonov-Bohm inter- ferences at the nanometer scale. The interferences to be observed in the local density of states are created by the ?ctitious magnetic ?eld associated t...

de Juan, Fernando; Vozmediano, María A H; Cano, Andrés
2011-01-01

151

Force and impulse from an Aharonov-Bohm flux line

  Mathematical Physics (arXiv)

Summary: We calculate the force and impulse operators for a charged particle in the field of an Aharonov-Bohm flux line. The force operator is formally the Lorentz force, with the magnetic field operator modified to include quantum corrections due to anomolous commutation relations. Expectation values for stationary states are calculated. Nonstationary states are treated by integrating the force operator in time to obtain the impulse operator. Expectation values of the impulse are calculated for slow wavepackets (which spread faster than they move) and for fast wavepackets (which spread only negligibly before their closest approach to the flux line). We give two derivations of the force and impulse operators, the first a simple derivation based on formal arguments, and the second a rigorous calculation of wavepacket expectation values. We also show that the same expressions for the force and impulse are obtained if the flux line is enclosed in an impenetrable cylinder,or distributed uniformly over a flux cylinder, in the limit that the radius of the cylinder goes to zero.

J. P. Keating; J. M. Robbins
2002-12-06

152

On the role of potentials in the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: There is a consensus today that the the main lesson of the Aharonov-Bohm effect is that a picture of electromagnetism based on the local action of the field strengths is not possible in quantum mechanics. Contrary to this statement it is argued here that when the source of the electromagnetic potential is treated in the framework of quantum theory, the Aharonov-Bohm effect can be explained without the notion of potentials. It is explained by local action of the field of the electron on the source of the potential. The core of the Aharonov-Bohm effect is the same as the core of quantum entanglement: the quantum wave function describes all systems together.

Lev Vaidman
2012-10-06

153

Quantum motion in superposition of Aharonov-Bohm with some additional electromagnetic fields

  Mathematical Physics (arXiv)

Summary: The structure of additional electromagnetic fields to the Aharonov-Bohm field, for which the Schr\\"odinger, Klein-Gordon, and Dirac equations can be solved exactly are described and the corresponding exact solutions are found. It is demonstrated that aside from the known cases (a constant and uniform magnetic field that is parallel to the Aharonov-Bohm solenoid, a static spherically symmetrical electric field, and the field of a magnetic monopole), there are broad classes of additional fields. Among these new additional fields we have physically interesting electric fields acting during a finite time, or localized in a restricted region of space. There are additional time-dependent uniform and isotropic electric fields that allow exact solutions of the Schrodinger equation. In the relativistic case there are additional electric fields propagating along the Aharonov-Bohm solenoid with arbitrary electric pulse shape.

V. G. Bagrov; D. M. Gitman; A. D. Levin
2011-03-29

154

Entanglement between static and flying qubits in an Aharonov-Bohm double electrometer

  Quantum Physics (arXiv)

Summary: We consider the phase-coherent transport of electrons passing through an Aharonov-Bohm ring while interacting with a tunnel charge in a double quantum dot (representing a charge qubit) which couples symmetrically to both arms of the ring. For Aharonov-Bohm flux Phi_AB=h/2e we find that electrons can only be transmitted when they flip the charge qubit's pseudospin parity an odd number of times. The perfect correlations of the dynamics of the pseudospin and individual electronic transmission and reflection events can be used to entangle the charge qubit with an individual passing electron.

Henning Schomerus; John P. Robinson
2007-10-31

155

The Aharonov-Bohm effect: A quantum or a relativistic phenomenon?

  Quantum Physics (arXiv)

Summary: The Aharonov-Bohm effect is considered by most authors as a quantum effect, but a generally accepted explanation does not seem to be available. The phenomenon is studied here under the assumption that hypothetical electric dipole distributions configured by moving charges in the solenoid act on the electrons as test particles. The relative motions of the interacting charged particles introduce relativistic time dilations. The massless dipoles are postulated as part of an impact model that has recently been proposed to account for the far-reaching electrostatic forces between charged particles described by Coulomb's law. The model provides a quantitative explanation of the Aharonov-Bohm effect.

K. Wilhelm; B. N. Dwivedi
2014-08-23

156

Aharonov-Bohm scattering of neutral atoms with induced electric dipole moments

  Quantum Physics (arXiv)

Summary: We investigate the scattering of neutral polarizable atoms from an electrically charged wire placed in a homogeneous magnetic field. The atoms carry an induced electric dipole. The reflecting wire is discussed. We calculate the scattering amplitude and cross section the practically more important case that atoms are totally absorbed at the surface of the wire. If the magnetic field is present, there is a dominating Aharonov-Bohm peak in the forward direction followed by decreasing oscillations for larger angles. An experimental realization of this modulated Aharonov-Bohm scattering should be possible.

Juergen Audretsch; Vladimir Skarzhinsky
1998-02-25

157

Non-Abelian Chern-Simons Quantum Mechanics and Non-Abelian Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: We construct a classical action for a system of $N$ point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and develop a quantum mechanics for them. Adopting the coherent state quantization and solving the Gauss' constraint in an appropriately chosen gauge, we obtain a quantum mechanical Hamiltonian given in terms of the Knizhnik-Zamolodchikov connection. Then we study the non-Abelian Aharonov-Bohm effect, employing the obtained Hamiltonian for two-particle sector. An explicit evaluation of the differential cross section for the non-Abelian Aharonov-Bohm scattering is given.

Taejin Lee; Phillial Oh
1993-12-20

158

Solutions of relativistic wave equations in superpositions of Aharonov-Bohm, magnetic, and electric fields

  HEP - Theory (arXiv)

Summary: We present new exact solutions (in 3+1 and 2+1 dimensions) of relativistic wave equations (Klein-Gordon and Dirac) in external electromagnetic fields of special form. These fields are combinations of Aharonov-Bohm solenoid field and some additional electric and magnetic fields. In particular, as such additional fields, we consider longitudinal electric and magnetic fields, some crossed fields, and some special non-uniform fields. The solutions obtained can be useful to study Aharonov-Bohm effect in the corresponding electromagnetic fields.

V. G. Bagrov; D. M. Gitman; V. B. Tlyachev
2002-01-10

159

A Simple Proof of Magnetic and Electric Aharonov-Bohm Effects

  Mathematical Physics (arXiv)

Summary: Magnetic Aharonov-Bohm effect (AB effect) was studied in hundreds of papers starting with the seminal paper of Aharonov and Bohm [AB] published in 1959. We give a new proof of the magnetic Aharonov-Bohm effect without using the scattering theory and the theory of inverse boundary value problems. We consider separately the cases of one and several obstacles. The electric AB effect was studied much less. We give the first proof of the electric AB effect in domains with moving boundaries. When the boundary does not move with the time the electric AB effect is absent.

Gregory Eskin
2014-07-20

160

On the Path Integral Treatment for an Aharonov-Bohm Field on the Hyperbolic Plane

  Quantum Physics (arXiv)

Summary: In this paper I discuss by means of path integrals the quantum dynamics of a charged particle on the hyperbolic plane under the influence of an Aharonov-Bohm gauge field. The path integral can be solved in terms of an expansion of the homotopy classes of paths. I discuss the interference pattern of scattering by an Aharonov-Bohm gauge field in the flat space limit, yielding a characteristic oscillating behavior in terms of the field strength. In addition, the cases of the isotropic Higgs-oscillator and the Kepler-Coulomb potential on the hyperbolic plane are shortly sketched.

Christian Grosche
1998-08-27

161

Internal Frame Dragging and a Global Analog of the Aharonov-Bohm Effect

  HEP - Theory (arXiv)

Summary: It is shown that the breakdown of a {\\it global} symmetry group to a discrete subgroup can lead to analogues of the Aharonov-Bohm effect. At sufficiently low momentum, the cross-section for scattering of a particle with nontrivial $\\Z_2$ charge off a global vortex is almost equal to (but definitely different from) maximal Aharonov-Bohm scattering; the effect goes away at large momentum. The scattering of a spin-1/2 particle off a magnetic vortex provides an amusing experimentally realizable example.

John March-Russell; John Preskill; Frank Wilczek
1991-12-19

162

The Crucial Role of Inert Source in the Magnetic Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: The role of the inert magnetic source used in the Tonomura experiment that has confirmed the magnetic Aharonov-Bohm effect is discussed. For this purpose, an analysis of a thought experiment is carried out. Here the permanent magnet is replaced by a classical source which is made of an ideal coil. A detailed calculation of this noninert source proves that in this case the effect disappears. This outcome provides another support for the crucial role of an inert source in the Aharonov-Bohm effect. A new aspect of quantum nonlocality is pointed out.

E. Comay
2009-10-17

163

The Aharonov-Bohm effect in spectral asymptotics of the magnetic Schrödinger operator

  Mathematical Physics (arXiv)

Summary: We show that in the absence of a magnetic field the spectrum of the magnetic Schr\\"odinger operator in an annulus depends on the cosine of the flux associated with the magnetic potential. This result follows from an analysis of a singularity in the wave trace for this Schr\\"odinger operator, and hence shows that even in the absence of a magnetic field the magnetic potential can change the asymptotics of the Schr\\"odinger spectrum, i.e. the Aharonov-Bohm effect takes place. We also study the Aharonov-Bohm effect for the magnetic Schr\\"odinger operator on a torus.

Gregory Eskin; James Ralston
2013-12-12

164

PHYSICAL REVIEW B 85, 165434 (2012) Patterns of the Aharonov-Bohm oscillations in graphene nanorings

  Physics Websites

Summary: electrons, N) sawtooth-type patterns relating to the halving of the period have also been foundPHYSICAL REVIEW B 85, 165434 (2012) Patterns of the Aharonov-Bohm oscillations in graphene hexagonal ring. Additional, more complicated patterns are also present, depending on the shape

Yannouleas, Constantine
2012-01-01

165

Electron-positron pair production in the Aharonov-Bohm potential

  Quantum Physics (arXiv)

Summary: In the framework of QED we evaluate the cross section for electron-positron pair production by a single photon in the presence of the external Aharonov-Bohm potential in first order of perturbation theory. We analyse energy, angular and polarization distributions at different energy regimes: near the threshold and at high photon energies.

V. D. Skarzhinsky; J. Audretsch; Ulf. Jasper
1997-09-18

166

Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach

  HEP - Theory (arXiv)

Summary: We apply the coherent state approach to study Aharonov-Bohm effect in the field theory context. We verify that, contrarily to the commutative result, the scattering amplitude is ultraviolet finite. However, we have logarithmic singularities as the noncommutative parameter tends to zero. Thus, the inclusion of a quartic self-interaction for the scalar field is necessary to obtain a smooth commutative limit.

M. A. Anacleto; J. R. Nascimento; A. Yu. Petrov
2006-05-04

167

Eigenvalue estimates for the Aharonov-Bohm operator in a domain

  Mathematical Physics (arXiv)

Summary: We prove semi-classical estimates on moments of eigenvalues of the Aharonov-Bohm operator in bounded two-dimensional domains. Moreover, we present a counterexample to the generalized diamagnetic inequality which was proposed by Erdos, Loss and Vougalter. Numerical studies complement these results.

Rupert L. Frank; Anders Hansson
2007-10-04

168

Aharonov-Bohm-like effect for light propagating in nematics with disclinations

  Condensed Matter (arXiv)

Summary: Using a geometric approach for the propagation of light in anisotropic media, we investigate what effect the director field of disclinations may have on the polarization state of light. Parallel transport around the defect, of the spinor describing the polarization, indicates the acquisition of a topological phase, in analogy with the Aharonov-Bohm effect.

A. M. de M. Carvalho; C. Satiro; F. Moraes
2007-09-20

169

Breakdown of phase rigidity and variations of the Fano effect in closed Aharonov-Bohm interferometers

  Materials Science Websites

Summary: -Bohm interferometers Amnon Aharony,1,2,3 Ora Entin-Wohlman,1,2,3 Tomohiro Otsuka,1 Shingo Katsumoto,1, * Hisashi Aikawa; published 30 May 2006 Although the conductance of a closed Aharonov-Bohm interferometer, with a quantum dot as resulting from multiple electronic paths around the interferometer ring. Data containing several Coulomb

Katsumoto, Shingo

170

A Tunable Fano System Realized in a Quantum Dot in an Aharonov-Bohm Ring

  Materials Science Websites

Summary: to an artificial single-site Fano system. (d) Scanning electron micrograph of the correspondent device fabricatedA Tunable Fano System Realized in a Quantum Dot in an Aharonov-Bohm Ring K. Kobayashi, H. Aikawa, S-8581, Japan Abstract. We report a tunable Fano system realized in a quantum dot embedded in an Aharonov

Katsumoto, Shingo

171

The phase of Hidden Momentum in Aharonov-Bohm solenoid effect

  Quantum Physics (arXiv)

Summary: It is shown that the phase of the hidden momentum in Aharonov-Bohm (AB) solenoid effect is equal in magnitude to the phase of the electron but with opposite sign. The phase of the hidden momentum is equal to that obtained by the energy of interference calculated in our previous paper (J.Opt.Soc.Am. B 17, 2052 2000).

Y. Ben-Aryeh
2012-01-03

172

Differential cross section for Aharonov--Bohm effect with non standard boundary conditions

  Quantum Physics (arXiv)

Summary: A basic analysis is provided for the differential cross section characterizing Aharonov--Bohm effect with non standard (non regular) boundary conditions imposed on a wave function at the potential barrier. If compared with the standard case two new features can occur: a violation of rotational symmetry and a more significant backward scattering.

P. Stovicek; O. Vana
1998-10-23

173

Aharonov-Bohm Scattering of a Localized Wave Packet: Analysis of the Forward Direction

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm scattering of a localized wave packet is considered. A careful analysis of the forward direction points out new results: according to the time-dependent solution obtained by means of the asymptotic representation for the propagator (kernel), a phenomenon of auto-interference occurs along the forward direction, where, also, the probability density current is evaluated and found finite.

Davide Stelitano
1994-11-23

174

Inelastic Effects in Aharonov-Bohm Molecular Interferometers Oded Hod,1,* Roi Baer,2

  Chemistry Websites

Summary: in single-molecule transistors [3,4]). This is in contrast to a related field, electronic transport through) Inelastic effects arising from electron-phonon coupling in molecular Aharonov-Bohm (AB) interfer- ometers are compared for different values of the electron-phonon coupling strength. At low-bias voltages, the coupling

Hod, Oded

175

Revisiting the Marton, Simpson, and Suddeth experimental confirmation of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: We perform an "archeological" study of one of the original experiments used as evidence for the static, time-independent Aharonov-Bohm effect. Since the experiment in question [L. Marton, J. A. Simpson, and J. A. Suddeth, Rev. Sci. Instr. 25, 1099 (1954)] involved a time varying magnetic field we show that there are problems with the explanation of this experiment as a confirmation of the static Aharonov-Bohm effect -- specifically the previous analysis ignored the electric field which arises in conjunction with a time-varying magnetic flux. We further argue that the results of this experiment do in fact conform exactly to the recent prediction [D. Singleton and E. Vagenas, Phys. Lett. B723, 241 (2013); J. MacDougall and D. Singleton, J. Math. Phys. 55, 042101 (2014)] of a cancellation between the magnetic and electric phase shifts for the time-dependent Aharonov-Bohm effect. To resolve this issue a new time-dependent Aharonov-Bohm experiment is called for.

James Macdougall; Douglas Singleton; Elias C. Vagenas
2015-05-16

176

Revisiting the Marton, Simpson, and Suddeth experimental confirmation of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: We perform an "archeological" study of one of the original experiments used as evidence for the static, time-independent Aharonov-Bohm effect. Since the experiment in question [L. Marton, J. A. Simpson, and J. A. Suddeth, Rev. Sci. Instr. 25, 1099 (1954)] involved a time varying magnetic field we show that there are problems with the explanation of this experiment as a confirmation of the static Aharonov-Bohm effect -- specifically the previous analysis ignored the electric field which arises in conjunction with a time-varying magnetic flux. We further argue that the results of this experiment do in fact conform exactly to the recent prediction [D. Singleton and E. Vagenas, Phys. Lett. B723, 241 (2013); J. MacDougall and D. Singleton, J. Math. Phys. 55, 042101 (2014)] of a cancellation between the magnetic and electric phase shifts for the time-dependent Aharonov-Bohm effect. To resolve this issue a new time-dependent Aharonov-Bohm experiment is called for.

James Macdougall; Douglas Singleton; Elias C. Vagenas
2015-05-04

177

Stokes' theorem, gauge symmetry and the time-dependent Aharonov-Bohm effect

  Mathematical Physics (arXiv)

Summary: Stokes' theorem is investigated in the context of the time-dependent Aharonov-Bohm effect -- the two-slit quantum interference experiment with a time varying solenoid between the slits. The time varying solenoid produces an electric field which leads to an additional phase shift which is found to exactly cancel the time-dependent part of the usual magnetic Aharonov-Bohm phase shift. This electric field arises from a combination of a non-single valued scalar potential and/or a 3-vector potential. The gauge transformation which leads to the scalar and 3-vector potentials for the electric field is non-single valued. This feature is connected with the non-simply connected topology of the Aharonov-Bohm set-up. The non-single valued nature of the gauge transformation function has interesting consequences for the 4-dimensional Stokes' theorem for the time-dependent Aharonov-Bohm effect. An experimental test of these conclusions is proposed.

James Macdougall; Douglas Singleton
2014-03-11

178

Investigation of the AharonovBohm effect in a gated graphene ring

  Physics Websites

Summary: Si wafer topped with a 295 nm thick silicon oxide. Single layer graphene flakes were deposited of a single- layer graphene ring. The Aharonov­Bohm oscillation ampli- tude of the four-terminal resistance using optical microscope and potential candidates for single layer flakes were identified

Ihn, Thomas

179

On the scattering amplitude in the Aharonov-Bohm gauge field

  HEP - Theory (arXiv)

Summary: A general expression for the scattering amplitude of nonrelativistic spinless particles in the Aharonov-Bohm gauge potential is obtained within the time independent formalism. The result is valid also in the backward and forward directions as well as for any choice of the boundary conditions on the wave function at the flux tube position.

Paola Giacconi; Fabio Maltoni; Roberto Soldati
1995-09-01

180

Multiple solutions to a nonlinear Schrodinger equation with Aharonov-Bohm magnetic poten-

  Environmental Sciences and Ecology Websites

Summary: In quantum mechanics the Hamiltonian for a non-relativistic charged particle in an electromagnetic field is called the magnetic flux and describes the influence of a magnetic potential on a charged quantum- mechanical particle moving in a region where the magnetic field is 0 (the so-called Aharonov-Bohm effect, see

Szulkin, Andrzej

181

Probe-Configuration-Dependent Decoherence in an AharonovBohm Ring Kensuke KOBAYASHI

  Physics Websites

Summary: Probe-Configuration-Dependent Decoherence in an Aharonov­Bohm Ring Kensuke KOBAYASHI Ã , Hisashi are explained well within the framework of the Landauer­Bu¨ttiker formalism, it is found that the probe that probes for transport measurements greatly affect the electronic states of the samples. Particularly

Iye, Yasuhiro

182

Vortex vs spinning string: Iordanskii force and gravitational Aharonov-Bohm effect

  General Relativity & Quantum Cosmology (arXiv)

Summary: We discuss the transverse force acting on the spinning cosmic string, moving in the background matter. It comes from the gravitational Aharonov-Bohm effect and corresponds to the Iordanskii force acting on the vortex in superfluids, when the vortex moves with respect to the normal component of the liquid.

G. E. Volovik
1998-05-10

183

Anomalous Aharonov-Bohm-Type Effects in Square Array of Antidots

  Materials Science Websites

Summary: an anomalous oscillation period and a new phase-shifted oscillation period. The latter phenomenon is attributed, Kashiwa, Chiba 277-8581 Japan Abstract. We have studied the Aharonov-Bohm(AB)-type oscillations in square arrays of antidots fabricated from GaAs/AlGaAs two-dimensional electron systems. The oscillation period

Katsumoto, Shingo

184

The Interference Term in the Wigner Distribution Function and the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: A phase space representation of the Aharonov-Bohm effect is presented. It shows that the shift of interference fringes is associated to the interference term of the Wigner distribution function of the total wavefunction, whereas the interference pattern is defined by the common projections of the Wigner distribution functions of the interfering beams

Daniela Dragoman
2004-02-23

185

Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole

  General Relativity & Quantum Cosmology (arXiv)

Summary: In this paper we consider the scattering of massless planar scalar waves by a noncommutative BTZ black hole. We compute the differential cross section via the partial wave approach, and we mainly show that the scattering of planar waves leads to a modified Aharonov-Bohm effect due to spacetime noncommutativity

M. A. Anacleto; F. A. Brito; E. Passos
2015-02-24

186

Revisiting the Marton, Simpson, and Suddeth experimental confirmation of the Aharonov-Bohm effect

  CERN Preprints

Summary: We perform an "archeological" study of one of the original experiments used as evidence for the static, time-independent Aharonov-Bohm effect. Since the experiment in question [L. Marton, J. A. Simpson, and J. A. Suddeth, Rev. Sci. Instr. 25, 1099 (1954)] involved a time varying magnetic field we show that there are problems with the explanation of this experiment as a confirmation of the static Aharonov-Bohm effect -- specifically the previous analysis ignored the electric field which arises in conjunction with a time-varying magnetic flux. We further argue that the results of this experiment do in fact conform exactly to the recent prediction [D. Singleton and E. Vagenas, Phys. Lett. B723, 241 (2013); J. MacDougall and D. Singleton, J. Math. Phys. 55, 042101 (2014)] of a cancellation between the magnetic and electric phase shifts for the time-dependent Aharonov-Bohm effect. To resolve this issue a new time-dependent Aharonov-Bohm experiment is called for.

Macdougall, James; Vagenas, Elias C
2015-01-01

187

Conductance of interacting Aharonov-Bohm systems and A. Ramsak1,2

  Materials Science Websites

Summary: - malism can in principle be used to treat systems at a finite temperature, finite source-drain voltageConductance of interacting Aharonov-Bohm systems T. Rejec1 and A. Ramsak1,2 1 Jozef Stefan is presented. The formula is valid for a general interacting system exhibiting Fermi liquid properties

Ramsak, Anton

188

Comments on ``Differential cross section for Aharonov-Bohm effect with nonstandard boundary conditions''

  Quantum Physics (arXiv)

Summary: We show that the violation of rotational symmetry for differential cross section for Aharonov-Bohm effect with nonstandard boundary conditions has been known for some time. Moreover, the results were applied to discuss the Hall effect and persistent currents of fermions in a plane pierced by a flux tube.

Alexander Moroz
1999-07-14

189

Modular Momentum of the Aharonov-Bohm Effect on Noncommutative Lattices

  Mathematical Physics (arXiv)

Summary: Based on the technique of noncommutative geometry, it is shown that, by means of the concept of the theta quantization, there is an equivalence between the notion of the modular momentum of the Aharonov-Bohm effect and the notion of a noncommutative lattice over a circle poset.

Takeo Miura
2012-07-23

190

Bound States of the Hydrogen Atom in the Presence of a Magnetic Monopole Field and an Aharonov-Bohm Potential

  HEP - Theory (arXiv)

Summary: In the present article we analyze the bound states of an electron in a Coulomb field when an Aharonov-Bohm field as well as a magnetic Dirac monopole are present. We solve, via separation of variables, the Schr\\"odinger equation in spherical coordinates and we show how the Hydrogen energy spectrum depends on the Aharonov-Bohm and the magnetic monopole strengths. In passing, the Klein-Gordon equation is solved.

Victor M. Villalba
1994-09-19

191

Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects

  HEP - Theory (arXiv)

Summary: After discussing the peculiarities of quantum systems on noncommutative (NC) spaces with non-trivial topology and the operator representation of the $\\star$-product on them, we consider the Aharonov-Bohm and Casimir effects for such spaces. For the case of the Aharonov-Bohm effect, we have obtained an explicit expression for the shift of the phase, which is gauge invariant in the NC sense. The Casimir energy of a field theory on a NC cylinder is divergent, while it becomes finite on a torus, when the dimensionless parameter of noncommutativity is a rational number. The latter corresponds to a well-defined physical picture. Certain distinctions from other treatments based on a different way of taking the noncommutativity into account are also discussed.

M. Chaichian; A. Demichev; P. Presnajder; M. M. Sheikh-Jabbari; A. Tureanu
2001-07-07

192

Parity Violation in Aharonov-Bohm Systems: The Spontaneous Hall Effect

  HEP - Theory (arXiv)

Summary: We show how macroscopic manifestations of $P$ (and $T$) symmetry breaking can arise in a simple system subject to Aharonov-Bohm interactions. Specifically, we study the conductivity of a gas of charged particles moving through a dilute array of flux tubes. The interaction of the electrons with the flux tubes is taken to be of a purely Aharonov-Bohm type. We find that the system exhibits a non-zero transverse conductivity, i.e., a spontaneous Hall effect. This is in contrast with the fact that the cross sections for both scattering and bremsstrahlung (soft photon emission) of a single electron from a flux tube are invariant under reflections. We argue that the asymmetry in the conductivity coefficients arises from many-body effects. On the other hand, the transverse conductivity has the same dependence on universal constants that appears in the Quantum Hall Effect, a result that we relate to the validity of the Mean Field approximation.

R. Emparan; M. A. Valle Basagoiti
1993-12-21

193

Correspondences and Quantum Description of Aharonov-Bohm and Aharonov-Casher Effects

  Quantum Physics (arXiv)

Summary: We establish systematic consolidation of the Aharonov-Bohm and Aharonov-Casher effects including their scalar counterparts. Their formal correspondences in acquiring topological phases are revealed on the basis of the gauge symmetry in non-simply connected spaces and the adiabatic condition for the state of magnetic dipoles. In addition, investigation of basic two-body interactions between an electric charge and a magnetic dipole clarifies their appropriate relative motions and discloses physical interrelations between the effects. Based on the two-body interaction, we also construct an exact microscopic description of the Aharonov-Bohm effect, where all the elements are treated on equal footing, i.e., magnetic dipoles are described quantum-mechanically and electromagnetic fields are quantized. This microscopic analysis not only confirms the conventional (semiclassical) results and the topological nature but also allows one to explore the fluctuation effects due to the precession of the magnetic dipoles with the adiabatic condition relaxed.

Minchul Lee; M. Y. Choi
2003-10-06

194

The Aharonov-Bohm effect in scattering of nonrelativistic electrons by a penetrable magnetic vortex

  Mathematical Physics (arXiv)

Summary: Quantum-mechanical theory for scattering of nonrelativistic charged particles with spin by a penetrable magnetic vortex is elaborated. The scattering differential cross section is shown to consist of two terms, one describing diffraction on the vortex in the forward direction and another one describing penetration through the vortex. The Aharonov-Bohm effect is manifested as a fringe shift in the diffraction pattern. The penetration effect is analyzed for the case of the uniform distribution of the magnetic field strength inside the vortex. We find that the penetrability of the magnetic vortex does not affect the diffraction pattern, and, hence, the Aharonov-Bohm effect is the same for a penetrable vortex as for an impenetrable one.

Yurii A. Sitenko
2014-11-17

195

Against a proposed alternative explanation of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The Aharonov-Bohm effect is understood to demonstrate that the Maxwell fields can act nonlocally in some situations. However it has been suggested from time to time that the AB effect is somehow a consequence of a local classical electromagnetic field phenomenon involving energy that is temporarily stored in the overlap between the external field and the field of which the beam particle is the source. That idea was shown in the past not to work for some models of the source of the external field. Here a more general proof is presented for the magnetic AB effect to show that the overlap energy is always compensated by another contribution to the energy of the magnetic field in such a way that the sum of the two is independent of the external flux. Therefore no such mechanism can underlie the Aharonov-Bohm effect.

Murray Peshkin
2010-09-08

196

The time-dependent non-Abelian Aharonov-Bohm effect

  Mathematical Physics (arXiv)

Summary: In this article, we study the time-dependent Aharonov-Bohm effect for non-Abelian gauge fields. We use two well known time-dependent solutions to the Yang-Mills field equations to investigate the Aharonov-Bohm phase shift. For both of the solutions, we find a cancellation between the phase shift coming from the non-Abelian "magnetic" field and the phase shift coming from the non-Abelian "electric" field, which inevitably arises in time-dependent cases. We compare and contrast this cancellation for the time-dependent non-Abelian case to a similar cancellation which occurs in the time-dependent Abelian case. We postulate that this cancellation occurs generally in time-dependent situations for both Abelian and non-Abelian fields.

Max Bright; Douglas Singleton
2015-04-08

197

Nonrelativistic Limit of the Scalar Chern-Simons Theory and the Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: We study the nonrelativistic limit of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. The renormalization of the relativistic model, in the Coulomb gauge, is discussed. We employ a procedure to calculate scattering amplitudes for low momenta that generates their $|p|/m$ expansion and separates the contributions coming from high and low energy intermediary states. The two body scattering amplitude is calculated up to order $p^2/m^2$. It is shown that the existence of a critical value of the self-interaction parameter for which the 2-particle scattering amplitude reduces to the Aharonov-Bohm one is a strictly nonrelativistic feature. The subdominant terms correspond to relativistic corrections to the Aharonov-Bohm scattering. A nonrelativistic reduction scheme and an effective nonrelativistic Lagrangian to account for the relativistic corrections are proposed.

M. Gomes; J. M. C. Malbouisson; A. J. da Silva
1998-01-28

198

The Aharonov-Casher Theorem and the Axial Anomaly in the Aharonov-Bohm Potential

  HEP - Phenomenology (arXiv)

Summary: The spectral properties of the Dirac Hamiltonian in the the Aharonov-Bohm potential are discussed. By using the Krein-Friedel formula, the density of states (DOS) for different self-adjoint extensions is calculated. As in the nonrelativistic case, whenever a bound state is present in the spectrum it is always accompanied by a (anti)resonance at the energy. The Aharonov-Casher theorem must be corrected for singular field configurations. There are no zero (threshold) modes in the Aharonov-Bohm potential. For our choice of the 2d Dirac Hamiltonian, the phase-shift flip is shown to occur at only positive energies. This flip gives rise to a surplus of the DOS at the lower threshold coming entirely from the continuous part of the spectrum. The results are applied to several physical quantities: the total energy, induced fermion-number, and the axial anomaly.

Alexander Moroz
1995-11-14

199

Noncommutative Correction to the Aharonov-Bohm Scattering: a Field Theory Approach

  HEP - Theory (arXiv)

Summary: We study a noncommutative nonrelativistic theory in 2+1 dimensions of a scalar field coupled to the Chern-Simons field. In the commutative situation this model has been used to simulate the Aharonov-Bohm effect in the field theory context. We verified that, contrarily to the commutative result, the inclusion of a quartic self-interaction of the scalar field is not necessary to secure the ultraviolet renormalizability of the model. However, to obtain a smooth commutative limit the presence of a quartic gauge invariant self-interaction is required. For small noncommutativity we fix the corrections to the Aharonov-Bohm scattering and prove that up to one-loop the model is free from dangerous infrared/ultraviolet divergences.

M. A. Anacleto; M. Gomes; A. J. da Silva; D. Spehler
2004-07-15

200

On the alleged nonlocal and topological nature of the molecular Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The nonlocal and topological nature of the molecular Aharonov-Bohm (MAB) effect is examined for real electronic Hamiltonians. A notion of preferred gauge for MAB is suggested. The MAB effect in the linear + quadratic $E\\otimes \\epsilon$ Jahn-Teller system is shown to be essentially analogues to an anisotropic Aharonov-Casher effect for an electrically neutral spin$-{1/2}$ particle encircling a certain configuration of lines of charge.

Erik Sjöqvist
2004-09-09

201

The Aharonov-Bohm effect: the role of tunneling and associated forces

  Quantum Physics (arXiv)

Summary: Through tunneling, or barrier penetration, small wavefunction tails can enter a finitely shielded cylinder with a magnetic field inside. When the shielding increases to infinity the Lorentz force goes to zero together with these tails. However, it is shown, by considering the radial derivative of the wavefunction on the cylinder surface, that a flux dependent force remains. This force explains in a natural way the Aharonov-Bohm effect in the idealized case of infinite shielding.

G. C. Hegerfeldt; J. T. Neumann
2008-02-27

202

Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: Partial wave theory of a two dimensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard disk'' like potential and the magnetic flux is examined. Since the nonlocal influence of magnetic flux on the charged particles is universal, the nonlocal effect in hard disk case is expected to appear in quite general potential system and will be useful in understanding some phenomena in mesoscopic phyiscs.

de-Hone Lin
2003-11-05

203

On the Pauli operator for the Aharonov-Bohm effect with two solenoids

  Mathematical Physics (arXiv)

Summary: We consider a spin-1/2 charged particle in the plane under the influence of two idealized Aharonov-Bohm fluxes. We show that the Pauli operator as a differential operator is defined by appropriate boundary conditions at the two vortices. Further we explicitly construct a basis in the deficiency subspaces of the symmetric operator obtained by restricting the domain to functions with supports separated from the vortices. This construction makes it possible to apply the Krein's formula to the Pauli operator.

V. A. Geyler; P. Stovicek
2003-10-16

204

The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint extensions

  HEP - Theory (arXiv)

Summary: By using the spherical coordinates in 3+1 dimensions we study the self-adjointness of the Dirac Hamiltonian in an Aharonov-Bohm gauge field of an infinitely thin magnetic flux tube. It is shown that the angular part of the Dirac Hamiltonian requires self-adjoint extensions as well as its radial one. The self-adjoint extensions of the angular part are parametrized by 2x2 unitary matrix.

Kazuhiko Odaka; Kazuya Satoh
1996-04-16

205

The Aharonov-Bohm effect in scattering of short-wavelength particles

  Quantum Physics (arXiv)

Summary: Quantum-mechanical scattering of nonrelativistic charged particles by a magnetic vortex of nonzero transverse size is considered. We show that the flux of the vortex serves as a gate for the strictly forward propagation of particles with short, as compared to the transverse size of the vortex, wavelengths; this effect is the same for a penetrable vortex as for an impenetrable one. A possibility for the experimental detection of the scattering Aharonov-Bohm effect is discussed.

Yu. A. Sitenko; N. D. Vlasii
2012-03-25

206

On the Electric Charge Quantization from the Dirac-Aharonov-Bohm Potential

  Quantum Physics (arXiv)

Summary: The purpose of this paper is to show that, under certain restrictions, we can take a Dirac-Aharonov-Bohm potential as a pure gauge field. We argue that a modified quantization condition comes out for the electric charge that may open up the way for the understanding of fractional charges. One does not need any longer to rely on the existence of a magnetic monopole to justify electric charge quantization.

F. A. Barone; J. A. Helayel-Neto
2005-06-20

207

(Semi)classical motion in fields of Aharonov-Bohm and Aharonov-Casher

  Quantum Physics (arXiv)

Summary: Particle motion in the fields of Aharonov-Bohm and Aharonov-Casher is considered in framework of the classical theory to reveal conditions admitting duality of the two configurations. Important role of orientation of the magnetic dipole moment is demonstrated. Duality becomes totally destroyed by addition of electric dipole and/or higher multipole moments. Correspondence between quantum and classical considerations is also discussed.

Ya. I. Azimov; R. M. Ryndin
1997-07-25

208

Bound states of massive fermions in the Aharonov--Bohm-like fields

  HEP - Theory (arXiv)

Summary: Bound states of massive fermions in the Aharonov-Bohm like fields have analytically been studied. The Hamiltonians with the Aharonov--Bohm like potentials are essentially singular and therefore require specification of a one-parameter self-adjoint extension. We construct self-adjoint Dirac Hamiltonians with the Aharonov-Bohm (AB) potential in 2+1 dimensions that are specified by boundary conditions at the origin. It is of interest that for some range of extension parameter the AB potential can bind relativistic charged massive fermions. The bound-state energy is determined by the AB magnetic flux and depends upon fermion spin and extension parameter; it is a periodical function of the magnetic flux. We also construct self-adjoint Hamiltonians for the so-called Aharonov-Casher (AC) problem, show that nonrelativistic neutral massive fermions can be bound by the Aharonov-Casher background, determine the range of extension parameter in which fermion bound states exist and find their energies as well as wave functions.

V. R. Khalilov
2014-01-16

209

Effects of Nongauge Potentials on the Spin-1/2 Aharonov-Bohm Problem

  HEP - Theory (arXiv)

Summary: Some recent work has attempted to show that the singular solutions which are known to occur in the Dirac description of spin-1/2 Aharonov-Bohm scattering can be eliminated by the inclusion of strongly repulsive potentials inside the flux tube. It is shown here that these calculations are generally unreliable since they necessarily require potentials which lead to the occurrence of Klein's paradox. To avoid that difficulty the problem is solved within the framework of the Galilean spin-1/2 wave equation which is free of that particular complication. It is then found that the singular solutions can be eliminated provided that the nongauge potential is made energy dependent. The effect of the inclusion of a Coulomb potential is also considered with the result being that the range of flux parameter for which singular solutions are allowed is only half as great as in the pure Aharonov-Bohm limit. Expressions are also obtained for the binding energies which can occur in the combined Aharonov-Bohm-Coulomb system.

C. R. Hagen
1993-08-10

210

Journal of the Korean Physical Society, Vol. 53, No. 6, December 2008, pp. 36403644 Complementarity in a Closed-Loop Aharonov-Bohm Interferometer

  Materials Science Websites

Summary: in a Closed-Loop Aharonov-Bohm Interferometer Gyong Luck Khym Department of Physics, Chonnam National-Bohm interferometer with a quantum dot embedded in an arm of the ring and a nearby charge detector capacitively.21.La, 03.65.Yz, 03.67.-a Keywords: Complementarity, Closed-loop Aharonov-Bohm interferometer, Charge

Lee, Hu-Jong

211

Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential

  HEP - Theory (arXiv)

Summary: In this work we study modifications in the Aharonov-Bohm effect for relativistic spin 1/2 particles due to the noncommutativity of spacetime in $2 + 1$ dimensions. The noncommutativity gives rise to a correction to the Aharonov-Bohm potential which is highly singular at the origin, producing divergences in a perturbative expansion around the usual solution of the free Dirac equation. This problem is surmounted by using a perturbative expansion around the exact solution of the \\textit{commutative} Aharonov-Bohm problem. We calculate, in this setting, the scattering amplitude and the corrections to the differential and total cross sections for a spin 1/2 particle, in the small-flux limit.

A. F. Ferrari; M. Gomes; C. A. Stechhahn
2007-08-28

212

The Aharonov-Bohm Effect and Tonomura et al. Experiments. Rigorous Results

  Quantum Physics (arXiv)

Summary: We study the Aharonov-Bohm effect under the conditions of the Tonomura et al. experiments, that gave a strong evidence of the physical existence of the Aharonov-Bohm effect, and we give the first rigorous proof that the classical Ansatz of Aharonov and Bohm is a good approximation to the exact solution of the Schroedinger equation. We provide a rigorous, quantitative, error bound for the difference in norm between the exact solution and the approximate solution given by the Aharonov-Bohm Ansatz. Our error bound is uniform in time. Using the experimental data, we rigorously prove that the results of the Tonomura et al. experiments, that were predicted by Aharonov and Bohm, actually follow from quantum mechanics. Furthermore, our results show that it would be quite interesting to perform experiments for intermediate size electron wave packets (smaller than the ones used in the Tonomura et al. experiments, that were much larger than the magnet) whose variance satisfies appropriate lower and upper bounds that we provide. One could as well take a larger magnet. In this case, the interaction of the electron wave packet with the magnet is negligible -the probability that the electron wave packet interacts with the magnet is smaller than $10^{-199}$- and, moreover, quantum mechanics predicts the results observed by Tonomura et al. with an error bound smaller than $10^{-99}$, in norm. Our error bound has a physical interpretation. For small variances it is due to Heisenberg's uncertainty principle and for large variances to the interaction with the magnet.

Miguel Ballesteros; Ricardo Weder
2010-01-04

213

The Sagnac Effect in curved space-times from an analogy with the Aharonov-Bohm Effect

  General Relativity & Quantum Cosmology (arXiv)

Summary: In the context of the natural splitting, the standard relative dynamics can be expressed in terms of gravito-electromagnetic fields, which allow to formally introduce a gravito-magnetic Aharonov-Bohm effect. We showed elsewhere that this formal analogy can be used to derive the Sagnac effect in flat space-time as a gravito-magnetic Aharonov-Bohm effect. Here, we generalize those results to study the General Relativistic corrections to the Sagnac effect in some stationary and axially symmetric geometries, such as the space-time around a weakly gravitating and rotating source, Kerr space-time, G\\"{odel} universe and Schwarzschild space-time.

Matteo Luca Ruggiero
2005-10-28

214

A charged particle in a homogeneous magnetic field accelerated by a time periodic Aharonov-Bohm flux

  Mathematical Physics (arXiv)

Summary: We consider a nonrelativistic quantum charged particle moving on a plane under the influence of a uniform magnetic field and driven by a periodically time-dependent Aharonov-Bohm flux. We observe an acceleration effect in the case when the Aharonov-Bohm flux depends on time as a sinusoidal function whose frequency is in resonance with the cyclotron frequency. In particular, the energy of the particle increases linearly for large times. An explicit formula for the acceleration rate is derived with the aid of the quantum averaging method, and then it is checked against a numerical solution with a very good agreement.

T. Kalvoda; P. Stovicek
2011-07-14

215

Semiclassical theory of h/e Aharonov-Bohm oscillation for doubly connected ballistic cavities

  Nonlinear Sciences (arXiv)

Summary: In Aharonov-Bohm (AB) cavities forming doubly connected ballistic structures, h/e AB oscillations that result from the interference among the complicated trapped paths in the cavity can be described by the framework of the semiclassical theory. We derive formulas of the correlation function C(\\Delta \\phi) of the nonaveraged magnetoconductance for chaotic and regular AB cavities. The different higher harmonics behaviors for C(\\Delta \\phi) are related to the differing distribution of classical dwelling times. The AB oscillation in ballistic regimes provides an experimental probe of quantum signatures of classical chaotic and regular dynamics.

Shiro Kawabata
2000-02-04

216

h/2e oscillations and quantum chaos in ballistic Aharonov-Bohm billiards

  Nonlinear Sciences (arXiv)

Summary: We study the quantum interference effect for the single ballistic Aharonov-Bohm billiard in the presence of a weak magnetic field B. The diagonal part of the wave-number averaged reflection coefficient $\\delta {\\cal R}_D$ is calculated by use of semi-classical scattering theory. In addition to the appearance of "h/2e oscillation" that are caused by interference between time-reversed coherent backscattering classical trajectories, B in the conducting region leads to negative magnetoresistance and dampening of the h/2e oscillation amplitude. The B dependence of the results reflects the underlying classical (chaotic and regular) dynamics.

Shiro Kawabata; Katsuhiro Nakamura
2000-02-05

217

Semiclassical Effects Induced by Aharonov-Bohm Interaction Between a Cosmic String and a Scalar Field

  HEP - Theory (arXiv)

Summary: In the context of the vacuum polarization effect, we consider the backreaction of the energy-momentum tensor of a charged scalar field on the background metric of a cosmic string carrying a magnetic flux $\\Phi$. Working within the semiclassical approach to the Einstein eqs. we find the first-order (in $\\hbar$) metric associated to the magnetic flux cosmic string. We show that the contribution to the vacuum polarization effect coming from the Aharonov-Bohm interaction is larger than the one coming from the non-trivial gravitational interaction.

M. E. X. Guimaraes
1997-02-14

218

Characteristic decay of the autocorrelation functions prescribed by the Aharonov-Bohm time operator

  Quantum Physics (arXiv)

Summary: The wave functions, the autocorrelation functions of which decay faster than $t^{-2}$, for both the one-dimensional free particle system and the repulsive-potential system are examined. It is then shown that such wave functions constitute a dense subset of $L^2 ({\\bf R}^1)$, under several conditions that are particularly satisfied by the square barrier potential system. It implies that the faster than $t^{-2}$-decay character of the autocorrelation function persists against the perturbation of potential. It is also seen that the denseness of the above subset is guaranteed by that of the domain of the Aharonov-Bohm time operator.

Manabu Miyamoto
2001-05-13

219

Analogue Aharonov-Bohm effect in a Lorentz-violating background

  HEP - Theory (arXiv)

Summary: In this paper we consider the acoustic black hole metrics obtained from a relativistic fluid under the influence of constant background that violates the Lorentz symmetry to study the analogue of the Aharonov-Bohm (AB) effect. We show that the scattering of planar waves by a draining bathtub vortex leads to a modified AB effect and due to the Lorentz symmetry breaking, the phase shift persists even in the limit where the parameters associated with the circulation and draining vanish. In this limit, the Lorentz-violating background forms a conical defect, which is also responsible for the appearance of the analogue AB effect.

M. A. Anacleto; F. A. Brito; E. Passos
2012-12-11

220

Semiclassical Theory of h/e Aharonov-Bohm Oscillation in Ballistic Regimes

  Nonlinear Sciences (arXiv)

Summary: We study the magneto-transport in Aharonov-Bohm (AB) billiards forming doubly connected structures. In these systems, non-averaged conductance oscillates as a function of magnetic flux with period h/e. We derive formulas of the correlation function C of the magneto-conductance for chaotic and regular AB billiards by use of the semiclassical theory. The different higher harmonics behaviors for C are related to the differing distribution of classical dwelling times. The AB oscillation in ballistic regimes provides an experimental probe of quantum signatures of classical chaotic and regular dynamics.

Shiro Kawabata
1999-09-01

221

A Remark on the Aharonov-Bohm Potential and a Discussion on the Electric Charge Quantization

  HEP - Theory (arXiv)

Summary: The purpose of this work is to stress on a mathematical requirement of the Stokes' theorem that, naturally, yields a reassessment of the electric charge quantization condition, which is, here, explicitly carried out in the context of the Aharonov-Bohm set-up. We argue that, by virtue of an ambiguity in the definition of the circulation of the vector potential, a modified quantization condition comes out for the electric charge that opens the way for understanding fundamental fractional charges. One does not, any longer, need to rely on the existence of a magnetic monopole to justify electric charge quantization.

F. A. Barone; J. A. Helayel-Neto
2005-02-08

222

Loopholes in the interpretation of experiments on the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The independence of the Aharonov-Bohm phase shift on particle velocity is one of its defining properties. The classical counterpart to this dispersionless behavior is the absence of forces along the direction of motion of the particle. A reevaluation of the experimental demonstration that forces are absent in the AB physical system is given, including previously unpublished data. It is shown that the debate on the presence or absence of forces is not settled, and an experiment searching for dispersionless forces is proposed.

Herman Batelaan; Maria Becker
2015-07-02

223

Axial Anomaly in the Presence of the Aharonov-Bohm Gauge Field

  HEP - Theory (arXiv)

Summary: We investigate on the plane the axial anomaly for euclidean Dirac fermions in the presence of a background Aharonov--Bohm gauge potential. The non perturbative analysis depends on the self--adjoint extensions of the Dirac operator and the result is shown to be influenced by the actual way of understanding the local axial current. The role of the quantum mechanical parameters involved in the expression for the axial anomaly is discussed. A derivation of the effective action by means of the stereographic projection is also considered.

P. Giacconi; S. Ouvry; R. Soldati
1994-06-08

224

Influence of Induced Charges in the Electric Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: This paper states that the induced charge should not be neglected in the electric Aharonov-Bohm effect. If the induced charge is taken into account, the interference pattern of the moving charge will not change with the potential difference between the two metal tubes. It means that the scale potential itself can not affect the phase of the moving charge, and the true factor affecting the phase of the moving charge is the energy of the system including the moving charge and the induced charge.

Rui-Feng Wang
2014-09-24

225

Scattering theory and the Aharonov--Bohm effect in quasiclassical physics

  HEP - Theory (arXiv)

Summary: Scattering of a nonrelativistic quantum-mechanical particle by an impenetrable magnetic vortex is considered. The nonvanishing transverse size of the vortex is taken into account, and the limit of short, as compared to this size, wavelengths of the scattered particle is analyzed. We show that the scattering Aharonov-Bohm effect persists in the quasiclassical limit owing to the diffraction persisting in the short-wavelength limit. As a result, the vortex flux serves as a gate for the propagation of short-wavelength, almost classical, particles. This quasiclassical effect is more feasible to experimental detection in the case when space outside the vortex is conical.

Yurii A. Sitenko; Nadiia D. Vlasii
2011-01-24

226

The Paradoxical Forces for the Classical Electromagnetic Lag Associated with the Aharonov-Bohm Phase Shift

  Physics (arXiv)

Summary: The classical electromagnetic lag assocated with the Aharonov-Bohm phase shift is obtained by using a Darwin-Lagrangian analysis similar to that given by Coleman and Van Vleck to identify the puzzling forces of the Shockley-James paradox. The classical forces cause changes in particle velocities and so produce a relative lag leading to the same phase shift as predicted by Aharonov and Bohm and observed in experiments. An experiment is proposed to test for this lag aspect implied by the classical analysis but not present in the currently-accepted quantum topological description of the phase shift.

Timothy H. Boyer
2005-06-23

227

Comment on Experiments Related to the Aharonov-Bohm Phase Shift

  Physics (arXiv)

Summary: Recent experiments undertaken by Caprez, Barwick, and Batelaan should clarify the connections between classical and quantum theories in connection with the Aharonov-Bohm phase shift. It is pointed out that resistive aspects for the solenoid current carriers play a role in the classical but not the quantum analysis for the phase shift. The observed absence of a classical lag effect for a macroscopic solenoid does not yet rule out the possibility of a lag explanation of the observed phase shift for a microscopic solenoid.

Timothy H. Boyer
2007-08-23

228

Interrelations Between the Neutron's Magnetic Interactions and the Magnetic Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: It is proved that the phase shift of a polarized neutron interacting with a spatially uniform time-dependent magnetic field, demonstrates the same physical principles as the magnetic Aharonov-Bohm effect. The crucial role of inert objects is explained, thereby proving the quantum mechanical nature of the effect. It is also proved that the nonsimply connectedness of the field-free region is not a profound property of the system and that it cannot be regarded as a sufficient condition for a nonzero phase shift.

E. Comay
1999-06-17

229

The Paradoxical Forces for the Classical Electromagnetic Lag Associated with the Aharonov-Bohm Phase Shift

  CERN Preprints

Summary: The classical electromagnetic lag assocated with the Aharonov-Bohm phase shift is obtained by using a Darwin-Lagrangian analysis similar to that given by Coleman and Van Vleck to identify the puzzling forces of the Shockley-James paradox. The classical forces cause changes in particle velocities and so produce a relative lag leading to the same phase shift as predicted by Aharonov and Bohm and observed in experiments. An experiment is proposed to test for this lag aspect implied by the classical analysis but not present in the currently-accepted quantum topological description of the phase shift.

Boyer, T H
2005-01-01

230

Scattering of spin-polarized electron in an Aharonov--Bohm potential

  Mathematical Physics (arXiv)

Summary: The scattering of spin-polarized electrons in an Aharonov--Bohm vector potential is considered. We solve the Pauli equation in 3+1 dimensions taking into account explicitly the interaction between the three-dimensional spin magnetic moment of electron and magnetic field. Expressions for the scattering amplitude and the cross section are obtained for spin-polarized electron scattered off a flux tube of small radius. It is also shown that bound electron states cannot occur in this quantum system. The scattering problem for the model of a flux tube of zero radius in the Born approximation is briefly discussed.

V. R. Khalilov; Choon-Lin Ho
2007-10-05

231

Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field

  Mathematical Physics (arXiv)

Summary: We consider two-dimensional Schr\\"odinger operators $H$ with Aharonov-Bohm magnetic field and an additional electric potential. We obtain an explicit leading term of the asymptotic expansion of the unitary group $e^{-i t H}$ for $t\\to\\infty$ in weighted $L^2$ spaces. In particular, we show that the magnetic field improves the decay of $e^{-i t H}$ with respect to the unitary group generated by non-magnetic Schr\\"odinger operators, and that the decay rate in time is determined by the magnetic flux.

Gabriele Grillo; Hynek Kovarik
2014-03-14

232

Quantum Measurement and the Aharonov-Bohm Effect with Superposed Magnetic Fluxes

  Quantum Physics (arXiv)

Summary: We consider the magnetic flux in a quantum mechanical superposition of two values and find that the Aharonov-Bohm effect interference pattern contains information about the nature of the superposition, allowing information about the state of the flux to be extracted without disturbance. The information is obtained without transfer of energy or momentum and by accumulated nonlocal interactions of the vector potential $\\vec{A}$ with many charged particles forming the interference pattern, rather than with a single particle. We suggest an experimental test using already experimentally realized superposed currents in a superconducting ring and discuss broader implications.

Ka?a Bradonji?; John D. Swain
2014-02-11

233

Scattering of a charged particle from a hard cylindrical solenoid: Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: The scattering amplitude of a charged particle from a long hard cylinderical solenoid is derived by solving the time independent Schr\\"{o}dinger equation on a double connected plane. It is a summation over the angular momentum quantum number (partial wave summation). It is shown that only negative mechanical angular momenta contribute to the amplitude when the radius of the solenoid goes to zero limit without varying the magnetic induction flux (Flux line). Original Aharonov-Bohm result is obtained with this limit.

Oktay Yilmaz
2014-02-26

234

Intrinsic coherence dynamics and phase localization in Aharonov-Bohm Interferometers

  Quantum Physics (arXiv)

Summary: The nonequilibrium real-time dynamics of electron coherence is explored in the quantum transport through the double-dot Aharonov-Bohm interferometers. We solve the exact master equation to find the exact quantum state of the device, from which the changes of the electron coherence through the magnetic flux in the nonequilibrium transport processes is obtained explicitly. We find that the relative phase between the two charge states of the double dot localizes to $\\frac{\\pi}{2}$ or $-\\frac{\\pi}{2}$ for all different magnetic flux. This nontrivial phase localization process can be manifested in the measurable occupation numbers.

Matisse Wei-Yuan Tu; Wei-Min Zhang; Jinshuang Jin
2010-10-11

235

Coherent control of artificial molecules using an Aharonov-Bohm magnetic flux

  Quantum Physics (arXiv)

Summary: Bonding and anti-bonding states of artificial molecules have been realized in experiments by directly coupling two quantum dots. Without a direct coupling between two nearby quantum dots, here we show that a continuous crossover, from symmetric to anti-symmetric molecular state, can be achieved by changing the flux through a double quantum dot Aharonov-Bohm (AB) interferometer. We explicitly present the flux-dependent real-time processes of molecular-state formation. In contrast to the transport current, which has a $2\\pi$ period, the quantum state of the DQD molecule has a $4\\pi$ period in the AB flux.

Matisse Wei-Yuan Tu; Wei-Min Zhang; Franco Nori
2012-04-26

236

Anyonic strings and membranes in AdS space and dual Aharonov-Bohm effects

  HEP - Theory (arXiv)

Summary: It is observed that strings in AdS_5 x S^5 and membranes in AdS_7 x S^4 exhibit long range phase interactions. Two well separated membranes dragged around one another in AdS acquire phases of 2\\pi/N. The same phases are acquired by a well separated F and D string dragged around one another. The phases are shown to correspond to both the standard and a novel type of Aharonov-Bohm effect in the dual field theory.

Sean A. Hartnoll
2006-12-15

237

Force-Free Gravitational Redshift: Proposed Gravitational Aharonov-Bohm experiment

  General Relativity & Quantum Cosmology (arXiv)

Summary: We propose a feasible laboratory interferometry experiment with matter waves in a gravitational potential caused by a pair of artificial field-generating masses. It will demonstrate that the presence of these masses (and, for moving atoms, time dilation) induces a phase shift, even if it does not cause any classical force. The phase shift is identical to that produced by the gravitational redshift (or time dilation) of clocks ticking at the atom's Compton frequency. In analogy to the Aharonov-Bohm effect in electromagnetism, the quantum mechanical phase is a function of the gravitational potential and not the classical forces.

Michael A. Hohensee; Brian Estey; Paul Hamilton; Anton Zeilinger; Holger Mueller
2012-06-07

238

Role of the non-locality of the vector potential in the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: When the electromagnetic potentials are expressed in the Coulomb gauge in terms of the electric and magnetic fields rather than the sources responsible for these fields they have a simple form that is non-local i.e. the potentials depend on the fields at every point in space. It is this non-locality of classical electrodynamics that is at first instance responsible for the puzzle associated with the Aharonov-Bohm effect: that its interference pattern is affected by fields in a region of space that the electron beam never enters.

A. M. Stewart
2014-04-25

239

Aharonov-Bohm effect, Center Monopoles and Center Vortices in SU(2) Lattice Gluodynamics

  HEP - Lattice (arXiv)

Summary: SU(2) gluodynamics is investigated numerically and analytically in the (Indirect) Maximal Center gauge at finite temperature. The center vortices are shown to be condensed in the confinement phase and dilute in the deconfinement phase. A new physical object, center monopole, is constructed. We show that the center monopole condensate is the order parameter of deconfinement phase transition. The linking of the vortex worldsheets and quark trajectories is identified with the Aharonov-Bohm interaction in an effective Abelian Higgs theory. We conclude that the confinement in the Maximal Center gauge can be explained by a new mechanism called "the real superconductor mechanism".

M. N. Chernodub; M. I. Polikarpov; A. I. Veselov; M. A. Zubkov
1998-09-21

240

Zero modes in a system of Aharonov--Bohm solenoids on the Lobachevsky plane

  Mathematical Physics (arXiv)

Summary: We consider a spin 1/2 charged particle on the Lobachevsky plane subjected to a magnetic field corresponding to a discrete system of Aharonov-Bohm solenoids. Let $H^+$ and $H^-$ be the two components of the Pauli operator for spin up and down, respectively. We show that neither $H^+$ nor $H^-$ has a zero mode if the number of solenoids is finite. On the other hand, a construction is described of an infinite periodic system of solenoids for which either $H^+$ or $H^-$ has zero modes depending on the value of the flux carried by the solenoids.

V. A. Geyler; P. Stovicek
2005-09-01

241

Aharonov-Bohm effect and geometric phases -- Exact and approximate topology

  Mathematical Physics (arXiv)

Summary: By analyzing an exactly solvable model in the second quantized formulation which allows a unified treatment of adiabatic and non-adiabatic geometric phases, it is shown that the topology of the adiabatic Berry's phase, which is characterized by the singularity associated with possible level crossing, is trivial in a precise sense. This topology of the geometric phase is quite different from the topology of the Aharonov-Bohm effect, where the topology is specified by the external local gauge field and it is exact for the slow as well as for the fast motion of the electron.

Kazuo Fujikawa
2013-02-03

242

The Sagnac Phase Shift suggested by the Aharonov-Bohm effect for relativistic matter beams

  General Relativity & Quantum Cosmology (arXiv)

Summary: The phase shift due to the Sagnac Effect, for relativistic matter beams counter-propagating in a rotating interferometer, is deduced on the bases of a a formal analogy with the the Aharonov-Bohm effect. A procedure outlined by Sakurai, in which non relativistic quantum mechanics and newtonian physics appear together with some intrinsically relativistic elements, is generalized to a fully relativistic context, using the Cattaneo's splitting technique. This approach leads to an exact derivation, in a self-consistently relativistic way, of the Sagnac effect. Sakurai's result is recovered in the first order approximation.

Guido Rizzi; Matteo Luca Ruggiero
2003-05-13

243

Aharonov-Bohm Order Parameters for Non-Abelian Gauge Theories

  HEP - Phenomenology (arXiv)

Summary: The Aharonov-Bohm effect has been invoked to probe the phase structure of a gauge theory. Yet in the case of non-Abelian gauge theories, it proves difficult to formulate a general procedure that unambiguously specifies the realization of the gauge symmetry, e.g. the unbroken subgroup. In this paper, we propose a set of order parameters that will do the job. We articulate the fact that any useful Aharonov-Bohm experiment necessarily proceeds in two stages: calibration and measurement. World sheets of virtual cosmic string loops can wrap around test charges, thus changing their states relative to other charges in the universe. Consequently, repeated flux measurements with test charges will not necessarily agree. This was the main stumbling block to previous attempts to construct order parameters for non-Abelian gauge theories. In those works, the particles that one uses for calibration and subsequent measurement are stored in {\\em separate} ``boxes''. By storing all test particles in the {\\em same} ``box'', we show how quantum fluctuations can be overcome. The importance of gauge fixing is also emphasized.

Hoi-Kwong Lo
1995-09-28

244

Electromagnetism, local covariance, the Aharonov-Bohm effect and Gauss' law

  CERN Preprints

Summary: We quantise the massless vector potential A of electromagnetism in the presence of a classical electromagnetic (background) current, j, in a generally covariant way on arbitrary globally hyperbolic spacetimes M. By carefully following general principles and procedures we clarify a number of topological issues. First we combine the interpretation of A as a connection on a principal U(1)-bundle with the perspective of general covariance to deduce a physical gauge equivalence relation, which is intimately related to the Aharonov-Bohm effect. By Peierls' method we subsequently find a Poisson bracket on the space of local, affine observables of the theory. This Poisson bracket is in general degenerate, leading to a quantum theory with non-local behaviour. We show that this non-local behaviour can be fully explained in terms of Gauss' law. Thus our analysis establishes a relationship, via the Poisson bracket, between the Aharonov-Bohm effect and Gauss' law (a relationship which seems to have gone unnoticed so far)....

Sanders, Ko; Hack, Thomas-Paul
2012-01-01

245

Aharonov-Bohm scattering of charged particles and neutral atoms: the role of absorption

  Quantum Physics (arXiv)

Summary: The Aharonov-Bohm scattering of charged particles by the magnetic field of an infinitely long and infinitely thin solenoid (magnetic string) in an absorbing medium is studied. We discuss the partial-wave approach to this problem and show that standard partial-wave method can be adjusted to this case. The effect of absorption leads to oscillations of the AB cross section. Based on this we investigate the scattering of neutral atoms with induced electric dipole moments by a charge wire of finite radius which is placed in an uniform magnetic field. The physical realistic and practically important case that all atoms which collide with the wire are totally absorbed at its surface, is studied in detail. The dominating terms of the scattering amplitude are evaluated analytically for different physical constellations. The rest terms are written in a form suitable for a numerical computation. We show that if the magnetic field is absent, the absorbing charged wire causes oscillations of the cross section. In the presence of the magnetic field the cross section increases and the dominating Aharonov--Bohm peak appears in the forward direction, suppressing the oscillations.

Juergen Audretsch; Vladimir Skarzhinsky
1999-01-25

246

A Gravitational Aharonov-Bohm Effect, and its Connection to Parametric Oscillators and Gravitational Radiation

  General Relativity & Quantum Cosmology (arXiv)

Summary: A thought experiment is proposed to demonstrate the existence of a gravitational, vector Aharonov-Bohm effect. A connection is made between the gravitational, vector Aharonov-Bohm effect and the principle of local gauge invariance for nonrelativistic quantum matter interacting with weak gravitational fields. The compensating vector fields that are necessitated by this local gauge principle are shown to be incorporated by the DeWitt minimal coupling rule. The nonrelativistic Hamiltonian for weak, time-independent fields interacting with quantum matter is then extended to time-dependent fields, and applied to problem of the interaction of radiation with macroscopically coherent quantum systems, including the problem of gravitational radiation interacting with superconductors. But first we examine the interaction of EM radiation with superconductors in a parametric oscillator consisting of a superconducting wire placed at the center of a high Q superconducting cavity driven by pump microwaves. We find that the threshold for parametric oscillation for EM microwave generation is much lower for the separated configuration than the unseparated one, which then leads to an observable dynamical Casimir effect. We speculate that a separated parametric oscillator for generating coherent GR microwaves could also be built.

Raymond Y. Chiao; Robert W. Haun; Nader A. Inan; Bong-Soo Kang; Luis A. Martinez; Stephen J. Minter; Gerardo A. Muñoz; Douglas A. Singleton
2013-02-04

247

Aharonov-Bohm Effect and High-Velocity Estimates of Solutions to the Schr\\"odinger Equation

  CERN Preprints

Summary: The Aharonov-Bohm effect is a fundamental and controversial issue in physics. At stake are what are the fundamental electromagnetic quantities in quantum physics, if magnetic fields can act at a distance on charged particles and if the magnetic potentials have a real physical significance. From the experimental side the issues were settled by the remarkable experiments of Tonomura et al. in 1982 and 1986 with toroidal magnets that gave a strong experimental evidence of the physical existence of the Aharonov-Bohm effect, and by the recent experiment of Caprez et al. in 2007 that shows that the results of these experiments can not be explained by a force. The Aharonov-Bohm Ansatz of 1959 predicts the results of the experiments of Tonomura et al. and of Caprez et al. In 2009 we gave the first rigorous proof that the Aharonov-Bohm Ansatz is a good approximation to the exact solution for toroidal magnets under the conditions of the experiments of Tonomura et al.. In this paper we prove that our results do not depe...

Ballesteros, Miguel
2010-01-01

248

Energy Spectrum of a 2D Dirac Oscillator in the Presence of the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: We determine the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator in the presence of Aharonov-Bohm (AB) effect . It is shown that the energy spectrum depends on the spin of particle and the AB magnetic flux parameter. Finally, when the irregular solution occurs it is shown that the energy takes particular values. The nonrelativistic limit is also considered.

N. Ferkous; A. Bounames
2008-01-30

249

Inverse problems for the Schrodinger equations with time-dependent electromagnetic potentials and the Aharonov-Bohm effect

  Mathematical Physics (arXiv)

Summary: We consider the inverse boundary value problem for the Schrodinger operator with time-dependent electromagnetic potentials in domains with obstacles. We extend the resuls of the author's works [E1], [E2], [E3] to the case of time-dependent potentials. We relate our results to the Aharonov-Bohm effect caused by magnetic and electric fluxes.

Gregory Eskin
2006-11-12

250

Aharonov--Bohm E#ect in Scattering by a Chain of Point--like Magnetic Fields

  Mathematics Websites

Summary: how the pattern of interferences changes with flux parameters. 1. Introduction We study the magnetic###(x) be the magnetic field with flux # and center at the origin. Then the magnetic potential A # (xAharonov--Bohm E#ect in Scattering by a Chain of Point--like Magnetic Fields Hiroshi T. Ito


251

Curvature for the Sake of Single-Valuedness Iterative Interplay between Aharonov-Bohm De cit Angle and Berry Phase

  Mathematics Websites

Summary: Angle and Berry Phase Bernd Binder #3; (Dated: 14.9.2002) Geometric phases can be observed by interference as preferred scattering directions in the Aharonov-Bohm (AB) e#11;ect or as Berry phase shifts of the Berry phase can be adjusted to restore single-valuedness. The resulting interplay between both phases


252

Curvature for the Sake of SingleValuedness Iterative Interplay between AharonovBohm Deficit Angle and Berry Phase

  Physics Websites

Summary: and Berry Phase Bernd Binder # (Dated: 14.9.2002 minor corrections 7.10.2002) Geometric phases can be observed by interference as preferred scattering directions in the Aharonov­Bohm (AB) e#ect or as Berry vertex angle of the Berry phase can be adjusted to restore single­valuedness. The resulting interplay

Binder, Bernd

253

Curvature for the Sake of Single-Valuedness Iterative Interplay between Aharonov-Bohm Deficit Angle and Berry Phase

  Physics Websites

Summary: and Berry Phase Bernd Binder binder@quanics.com c 2002-2003 (Dated: 14.9.2002 minor corrections 7 scattering directions in the Aharonov-Bohm (AB) effect or as Berry phase shifts leading to precession angle of the AB conic metric and the geometric precession cone vertex angle of the Berry phase can

Binder, Bernd

254

Curvature for the Sake of SingleValuedness Iterative Interplay between AharonovBohm Deficit Angle and Berry Phase

  Physics Websites

Summary: and Berry Phase Bernd Binder binder@quanics.com c #2002­2003 (Dated: 14.9.2002 minor corrections 7 scattering directions in the Aharonov­Bohm (AB) e#ect or as Berry phase shifts leading to precession angle of the AB conic metric and the geometric precession cone vertex angle of the Berry phase can

Binder, Bernd

255

Aharonov-Bohm effect in the presence of dissipative environments Baruch Horovitz1 and Pierre Le Doussal2

  Materials Science Websites

Summary: Aharonov-Bohm effect in the presence of dissipative environments Baruch Horovitz1 and Pierre Le in presence of various dissipative environments. We develop and solve a variational scheme assuming low The problem of interference and dephasing in presence of dissipative environments is of significance

Horovitz, Baruch

256

Self-adjoint Extension Approach to the spin-1/2 Aharonov-Bohm-Coulomb Problem

  HEP - Theory (arXiv)

Summary: The spin-1/2 Aharonov-Bohm problem is examined in the Galilean limit for the case in which a Coulomb potential is included. It is found that the application of the self-adjoint extension method to this system yields singular solutions only for one-half the full range of flux parameter which is allowed in the limit of vanishing Coulomb potential. Thus one has a remarkable example of a case in which the condition of normalizability is necessary but not sufficient for the occurrence of singular solutions. Expressions for the bound state energies are derived. Also the conditions for the occurrence of singular solutions are obtained when the non-gauge potential is $\\xi/r^p (0\\leq p<2)$.

D. K. Park
1994-05-02

257

The manifestly covariant Aharonov-Bohm effect in terms of the 4D fields

  CERN Preprints

Summary: In this paper it is presented a manifestly covariant formulation of the Aharonov-Bohm (AB) phase difference for the magnetic AB effect . This covariant AB phase is written in terms of the Faraday 2-form F and using the decomposition of F in terms of the electric and magnetic fields as four-dimensional (4D) geometric quantities. It is shown that there is a static electric field outside a stationary solenoid with resistive conductor carrying steady current, which causes that the AB phase difference in the magnetic AB effect may be determined by the electric part of the covariant expression, i.e. by the local influence of the 4D electric field and not, as generally accepted,in terms of nonzero vector potential.

Ivezic, Tomislav
2014-01-01

258

Scattering of dislocated wavefronts by vertical vorticity and the Aharonov-Bohm effect I: Shallow water

  Quantum Physics (arXiv)

Summary: When a surface wave interacts with a vertical vortex in shallow water the latter induces a dislocation in the incident wavefronts that is analogous to what happens in the Aharonov-Bohm effect for the scattering of electrons by a confined magnetic field. In addition to this global similarity between these two physical systems there is scattering. This paper reports a detailed calculation of this scattering, which is quantitatively different from the electronic case in that a surface wave penetrates the inside of a vortex while electrons do not penetrate a solenoid. This difference, together with an additional difference in the equations that govern both physical systems lead to a quite different scattering in the case of surface waves, whose main characteristic is a strong asymmetry in the scattering cross section. The assumptions and approximations under which these effects happen are carefully considered, and their applicability to the case of scattering of acoustic waves by vorticity is noted.

Christophe Coste; Makoto Umeki; Fernando Lund
1998-12-18

259

Aharonov-Bohm effect in the tunnelling of a quantum rotor in a linear Paul trap

  Quantum Physics (arXiv)

Summary: Quantum tunnelling is a common fundamental quantum-mechanical phenomenon that originates from the wave-like characteristics of quantum particles. Although the quantum-tunnelling effect was first observed 85 years ago, some questions regarding the dynamics of quantum tunnelling remain unresolved. Here, we realise a quantum-tunnelling system using two-dimensional ionic structures in a linear Paul trap. We demonstrate that the charged particles in this quantum-tunnelling system are coupled to the vector potential of a magnetic field throughout the entire process, even during quantum tunnelling, as indicated by the manifestation of the Aharonov-Bohm effect in this system. The tunnelling rate of the structures periodically depends on the strength of the magnetic field, whose period is the same as the magnetic-flux quantum $\\phi_0$ through the rotor [($0.99 \\pm 0.07)\\times \\phi_0$].

Atshushi Noguchi; Yutaka Shikano; Kenji Toyoda; Shinji Urabe
2014-05-20

260

Aharonov-Bohm effect in the tunnelling of a quantum rotor in a linear Paul trap

  CERN Preprints

Summary: Quantum tunnelling is a common fundamental quantum-mechanical phenomenon that originates from the wave-like characteristics of quantum particles. Although the quantum-tunnelling effect was first observed 85 years ago, some questions regarding the dynamics of quantum tunnelling remain unresolved. Here, we realise a quantum-tunnelling system using two-dimensional ionic structures in a linear Paul trap. We demonstrate that the charged particles in this quantum-tunnelling system are coupled to the vector potential of a magnetic field throughout the entire process, even during quantum tunnelling, as indicated by the manifestation of the Aharonov-Bohm effect in this system. The tunnelling rate of the structures periodically depends on the strength of the magnetic field, whose period is the same as the magnetic-flux quantum $\\phi_0$ through the rotor [($0.99 \\pm 0.07)\\times \\phi_0$].

Noguchi, Atshushi; Toyoda, Kenji; Urabe, Shinji
2014-01-01

261

The manifestly covariant Aharonov-Bohm effect in terms of the 4D fields

  Physics (arXiv)

Summary: In this paper it is presented a manifestly covariant formulation of the Aharonov-Bohm (AB) phase difference for the magnetic AB effect . This covariant AB phase is written in terms of the Faraday 2-form F and using the decomposition of F in terms of the electric and magnetic fields as four-dimensional (4D) geometric quantities. It is shown that there is a static electric field outside a stationary solenoid with resistive conductor carrying steady current, which causes that the AB phase difference in the magnetic AB effect may be determined by the electric part of the covariant expression, i.e. by the local influence of the 4D electric field and not, as generally accepted,in terms of nonzero vector potential.

Tomislav Ivezic
2014-11-21

262

A proposal for investigating three-body forces in Aharonov-Bohm sytems

  Quantum Physics (arXiv)

Summary: Although there is no force on the electron in Aharonov-Bohm solenoid effect, the electron exerts a force on the solenoid related to the inequality of action and reaction forces of two subsystems in three-system configuration. The AB phase which is related to the force exerted by the electron on the solenoid . The momentum changes of the mechanical oscillator are equal in magnitude and opposite in sign to the changes in the momentum of the em fields. It is proposed to investigate momentum changes of "micro" bodies producing magnetic fields in AB systems which will clarify the nature of these effects. The problem of magnetic fields shielded from the electron wave packet is also discussed.

Y. Ben-Aryeh
2009-11-26

263

Scattering of dislocated wavefronts by vertical vorticity and the Aharonov-Bohm effect II: Dispersive waves

  Quantum Physics (arXiv)

Summary: Previous results on the scattering of surface waves by vertical vorticity on shallow water are generalized to the case of dispersive water waves. Dispersion effects are treated perturbatively around the shallow water limit, to first order in the ratio of depth to wavelength. The dislocation of the incident wavefront, analogous to the Aharonov-Bohm effect, is still observed. At short wavelengths the scattering is qualitatively similar to the nondispersive case. At moderate wavelengths, however, there are two markedly different scattering regimes according to wether the capillary length is smaller or larger than $\\sqrt{3}$ times depth. The dislocation is characterized by a parameter that depends both on phase and group velocity. The validity range of the calculation is the same as in the shallow water case: wavelengths small compared to vortex radius, and low Mach number. The implications of these limitations are carefully considered.

Christophe Coste; Fernando Lund
1998-12-18

264

Physical regularization for the spin-1/2 Aharonov-Bohm problem in conical space

  Mathematical Physics (arXiv)

Summary: We examine the bound state and scattering problem of a spin-one-half particle undergone to an Aharonov-Bohm potential in a conical space in the nonrelativistic limit. The crucial problem of the \\delta-function singularity coming from the Zeeman spin interaction with the magnetic flux tube is solved through the self-adjoint extension method. Using two different approaches already known in the literature, both based on the self-adjoint extension method, we obtain the self-adjoint extension parameter to the bound state and scattering scenarios in terms of the physics of the problem. It is shown that such a parameter is the same for both situations. The method is general and is suitable for any quantum system with a singular Hamiltonian that has bound and scattering states.

F. M. Andrade; E. O. Silva; M. Pereira
2012-02-23

265

Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem

  Mathematical Physics (arXiv)

Summary: In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the $\\kappa$-Poincar\\'{e}-Hopf algebra. We consider the nonrelativistic limit of the $\\kappa$-deformed Dirac equation and use the spin-dependent term to impose an upper bound on the magnitude of the deformation parameter $\\varepsilon$. By using the self-adjoint extension approach, we examine the scattering and bound state scenarios. After obtaining the scattering phase shift and the $S$-matrix, the bound states energies are obtained by analyzing the pole structure of the latter. Using a recently developed general regularization prescription [Phys. Rev. D. \\textbf{85}, 041701(R) (2012)], the self-adjoint extension parameter is determined in terms of the physics of the problem. For last, we analyze the problem of helicity conservation.

F. M. Andrade; E. O. Silva
2012-12-10

266

Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm-Casher problem is examined for a charged particle describing a circular path in presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field. It were evaluated the particle eigenenergies, showing that the LV background is able to lift the original degenerescence in the absence of magnetic field and even for a neutral particle. The Aharonov-Casher phase is used to impose an upper bound on the background magnitude. A similar analysis is accomplished in a space endowed with a topological defect, revealing that both the disclination parameter and the LV background are able to modify the particle eigenenergies. We also analyze the particular case where the particle interacts harmonically with the topological defect and the LV background, with similar results.

H. Belich; E. O. Silva; M. M. Ferreira Jr.; M. T. D. Orlando
2011-06-04

267

Propagators associated to periodic Hamiltonians: an example of the Aharonov-Bohm Hamiltonian with two vortices

  Mathematical Physics (arXiv)

Summary: We consider an invariant quantum Hamiltonian $H=-\\Delta_{LB}+V$ in the $L^{2}$ space based on a Riemannian manifold $\\tilde{M}$ with a discrete symmetry group $\\Gamma$. Typically, $\\tilde{M}$ is the universal covering space of a multiply connected manifold $M$ and $\\Gamma$ is the fundamental group of $M$. To any unitary representation $\\Lambda$ of $\\Gamma$ one can relate another operator on $M=\\tilde{M}/\\Gamma$, called $H_\\Lambda$, which formally corresponds to the same differential operator as $H$ but which is determined by quasi-periodic boundary conditions. We give a brief review of the Bloch decomposition of $H$ and of a formula relating the propagators associated to the Hamiltonians $H_\\Lambda$ and $H$. Then we concentrate on the example of the Aharonov-Bohm effect with two vortices. We explain in detail the construction of the propagator in this case and indicate all essential intermediate steps.

P. Kocabova; P. Stovicek
2008-02-06

268

Aharonov-Bohm Effect in the Abelian-Projected SU(3)-QCD with $?$-term

  HEP - Theory (arXiv)

Summary: By making use of the path-integral duality transformation, string representation of the Abelian-projected SU(3)-QCD with the $\\Theta$-term is derived. Besides the short-range (self-)interactions of quarks (which due to the $\\Theta$-term acquire a nonvanishing magnetic charge, i.e. become dyons) and electric Abrikosov-Nielsen-Olesen strings, the resulting effective action contains also a long-range topological interaction of dyons with strings. This interaction, which has the form of the 4D Gauss linking number of the trajectory of a dyon with the world-sheet of a closed string, is shown to become nontrivial at $\\Theta$ not equal to $3\\pi$ times an integer. At these values of $\\Theta$, closed electric Abrikosov-Nielsen-Olesen strings in the model under study can be viewed as solenoids scattering dyons, which is the 4D analogue of the Aharonov-Bohm effect.

Dmitri Antonov
1999-11-29

269

Aharonov-Bohm Effect in the Abelian-Projected SU(3)-QCD with $\\Theta$-term

  CERN Preprints

Summary: By making use of the path-integral duality transformation, string representation of the Abelian-projected SU(3)-QCD with the $\\Theta$-term is derived. Besides the short-range (self-)interactions of quarks (which due to the $\\Theta$-term acquire a nonvanishing magnetic charge, i.e. become dyons) and electric Abrikosov-Nielsen-Olesen strings, the resulting effective action contains also a long-range topological interaction of dyons with strings. This interaction, which has the form of the 4D Gauss linking number of the trajectory of a dyon with the world-sheet of a closed string, is shown to become nontrivial at $\\Theta$ not equal to $3\\pi$ times an integer. At these values of $\\Theta$, closed electric Abrikosov-Nielsen-Olesen strings in the model under study can be viewed as solenoids scattering dyons, which is the 4D analogue of the Aharonov-Bohm effect.

Antonov, D V
2000-01-01

270

Levinson's theorem and higher degree traces for Aharonov-Bohm operators

  Mathematical Physics (arXiv)

Summary: We study Levinson type theorems for the family of Aharonov-Bohm models from different perspectives. The first one is purely analytical involving the explicit calculation of the wave-operators and allowing to determine precisely the various contributions to the left hand side of Levinson's theorem, namely those due to the scattering operator, the terms at 0-energy and at infinite energy. The second one is based on non-commutative topology revealing the topological nature of Levinson's theorem. We then include the parameters of the family into the topological description obtaining a new type of Levinson's theorem, a higher degree Levinson's theorem. In this context, the Chern number of a bundle defined by a family of projections on bound states is explicitly computed and related to the result of a 3-trace applied on the scattering part of the model.

J. Kellendonk; K. Pankrashkin; S. Richard
2010-12-15

271

Wave-packet rectification in nonlinear electronic systems: A tunable Aharonov-Bohm diode

  CERN Preprints

Summary: Rectification of electron wave-packets propagating along a quasi-one dimensional chain is commonly achieved via the simultaneous action of nonlinearity and longitudinal asymmetry, both confined to a limited portion of the chain termed wave diode. However, it is conceivable that, in the presence of an external magnetic field, spatial asymmetry perpendicular to the direction of propagation suffices to ensure rectification. This is the case of a nonlinear ring-shaped lattice with different upper and lower halves (diode), which is attached to two elastic chains (leads). The resulting device is mirror symmetric with respect to the ring vertical axis, but mirror asymmetric with respect to the chain direction. Wave propagation along the two diode paths can be modeled for simplicity by a discrete Schr\\"odinger equation with cubic nonlinearities. Numerical simulations demonstrate that, thanks to the Aharonov-Bohm effect, such a diode can be operated by tuning the magnetic flux across the ring.

Li, Yunyun; Marchesoni, Fabio; Li, Baowen
2014-01-01

272

An Elementary Aharonov-Bohm System in Three Space Dimensions: Quantum Attraction With No Classical Force

  Quantum Physics (arXiv)

Summary: As a consequence of the Aharonov-Bohm effect, there is a quantum-induced attraction between a charged particle and a rigid, impenetrable hoop made from an arbitrarily thin tube containing a superconductor quantum of magnetic flux. This is remarkable because in classical physics there is no force between the two objects, and quantum-mechanical effects (associated with uncertainty principle energy) generally are repulsive rather than attractive. For an incident spinless charged particle in a P wave (in a configuration with total angular momentum zero) we verify a resonance just above threshold using the Kohn variational principle in its S-matrix form. Even if optimistic choices of parameters describing a model system with these properties turned out to be feasible, the temperature required to observe the resonance would be far lower than has yet been attained in the laboratory.

Alfred Scharff Goldhaber; Ryan Requist
2003-01-14

273

Fermion pair production in planar Coulomb and Aharonov--Bohm potentials

  Quantum Physics (arXiv)

Summary: Exact analytic solutions are found for the Dirac equation in 2+1 dimensions for a spin-one-half particle in a combination of the Lorentz 3-vector and scalar Coulomb as well as Aharonov--Bohm potentials. We employ the two-component Dirac equation which contains a new parameter introduced by Hagen to describe the spin of the spin-1/2 particle. We derive a transcendental equations that implicitly determine the energy spectrum of an electron near the negative-energy continuum boundary and the critical charges for some electron states. Fermion pair production from a vacuum by a strong Coulomb field in the presence of the magnetic flux tube of zero radius is considered. It is shown that the presence of the Ahanorov--Bohm flux tends to stabilize the system.

V. R. Khalilov; Choon-Lin Ho
2008-12-16

274

Gaussian Curvature and Global effects : gravitational Aharonov-Bohm effect revisited

  CERN Preprints

Summary: Using the Gauss-Bonnet formula, integral of the Gaussian curvature over a 2-surface enclosed by a curve in the asymptotically flat region of a static spacetime was found to be a measure of a gravitational analogue of Aharonov-Bohm effect by Ford and Vilenkin in the linearized regime. Employing the 1+3 formulation of spacetime decomposition we study the same effect in the context of full Einstein field equations for stationary spacetimes. Applying our approach to static tube-like and cylindrical distributions of dust not only we recover their result but also obtain an extra term which is interpreted to be representing the classical version of the Colella-Overhauser-Werner effect (the COW experiment).

Nouri-Zonoz, M
2013-01-01

275

Gaussian Curvature and Global effects : gravitational Aharonov-Bohm effect revisited

  General Relativity & Quantum Cosmology (arXiv)

Summary: Using the Gauss-Bonnet formula, integral of the Gaussian curvature over a 2-surface enclosed by a curve in the asymptotically flat region of a static spacetime was found to be a measure of a gravitational analogue of Aharonov-Bohm effect by Ford and Vilenkin in the linearized regime. Employing the 1+3 formulation of spacetime decomposition we study the same effect in the context of full Einstein field equations for stationary spacetimes. Applying our approach to static tube-like and cylindrical distributions of dust not only we recover their result but also obtain an extra term which is interpreted to be representing the classical version of the Colella-Overhauser-Werner effect (the COW experiment).

M. Nouri-Zonoz; A. Parvizi
2013-06-08

276

Transmission phase lapse in the non-Hermitian Aharonov-Bohm interferometer near the spectral singularity

  Quantum Physics (arXiv)

Summary: We study the effect of PT-symmetric imaginary potentials embedded in the two arms of an Aharonov-Bohm interferometer on the transmission phase by finding an exact solution for a concrete tight-binding system. It is observed that the spectral singularity always occurs at k=${\\pm}${\\pi}/2 for a wide range of fluxes and imaginary potentials. Critical behavior associated with the physics of the spectral singularity is also investigated. It is demonstrated that the quasi-spectral singularity corresponds to a transmission maximum and the transmission phase jumps abruptly by {\\pi} when the system is swept through this point. Moreover, We find that there exists a pulse-like phase lapse when the imaginary potential approaches the boundary value of the spectral singularity.

G. Zhang; X. Q. Li; X. Z. Zhang; Z. Song
2015-03-28

277

Scattering of relativistic particles with Aharonov-Bohm-Coulomb interaction in two dimensions

  HEP - Theory (arXiv)

Summary: The Aharonov-Bohm-Coulomb potentials in two dimensions may describe the interaction between two particles carrying electric charge and magnetic flux, say, Chern--Simons solitons, or so called anyons. The scattering problem for such two-body systems is extended to the relativistic case, and the scattering amplitude is obtained as a partial wave series. The electric charge and magnetic flux is ($-q$, $-\\phi/Z$) for one particle and ($Zq$, $\\phi$) for the other. When $(Zq^2/\\hbar c)^2\\ll 1$, and $q\\phi/2\\pi\\hbar c$ takes on integer or half integer values, the partial wave series is summed up approximately to give a closed form. The results exhibit some nonperturbative features and cannot be obtained from perturbative quantum electrodynamics at the tree level.

Qiong-gui Lin
2000-07-27

278

Dynamics of coherences in the interacting double-dot Aharonov-Bohm interferometer: Exact numerical simulations

  Quantum Physics (arXiv)

Summary: We study the real time dynamics of electron coherence in a double quantum dot two-terminal Aharonov-Bohm geometry, taking into account repulsion effects between the dots' electrons. The system is simulated by extending a numerically exact path integral method, suitable for treating transport and dissipation in biased impurity models [Phys. Rev. B 82, 205323 (2010)]. Numerical simulations at finite interaction strength are supported by master equation calculations in two other limits: assuming non-interacting electrons, and working in the Coulomb blockade regime. Focusing on the intrinsic coherence dynamics between the double-dot states, we find that its temporal characteristics are preserved under weak-to-intermediate inter-dot Coulomb interaction. In contrast, in the Coulomb blockade limit, a master equation calculation predicts coherence dynamics and a steady-state value which notably deviate from the finite interaction case.

Salil Bedkihal; Dvira Segal
2012-01-13

279

Electromagnetism, local covariance, the Aharonov-Bohm effect and Gauss' law

  Mathematical Physics (arXiv)

Summary: We quantise the massless vector potential A of electromagnetism in the presence of a classical electromagnetic (background) current, j, in a generally covariant way on arbitrary globally hyperbolic spacetimes M. By carefully following general principles and procedures we clarify a number of topological issues. First we combine the interpretation of A as a connection on a principal U(1)-bundle with the perspective of general covariance to deduce a physical gauge equivalence relation, which is intimately related to the Aharonov-Bohm effect. By Peierls' method we subsequently find a Poisson bracket on the space of local, affine observables of the theory. This Poisson bracket is in general degenerate, leading to a quantum theory with non-local behaviour. We show that this non-local behaviour can be fully explained in terms of Gauss' law. Thus our analysis establishes a relationship, via the Poisson bracket, between the Aharonov-Bohm effect and Gauss' law (a relationship which seems to have gone unnoticed so far). Furthermore, we find a formula for the space of electric monopole charges in terms of the topology of the underlying spacetime. Because it costs little extra effort, we emphasise the cohomological perspective and derive our results for general p-form fields A (p < dim(M)), modulo exact fields. In conclusion we note that the theory is not locally covariant, in the sense of Brunetti-Fredenhagen-Verch. It is not possible to obtain such a theory by dividing out the centre of the algebras, nor is it physically desirable to do so. Instead we argue that electromagnetism forces us to weaken the axioms of the framework of local covariance, because the failure of locality is physically well-understood and should be accommodated.

Ko Sanders; Claudio Dappiaggi; Thomas-Paul Hack
2014-03-26

280

How to test the gauge-invariant non-local quantum dynamics of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The gauge invariant non local quantum dynamics of the Aharonov-Bohm effect can be tested experimentally by measuring the instantaneous shift of the velocity distribution occurring when the particle passes by the flux line. It is shown that in relativistic quantum theory it is possible to measure the instantaneous velocity with accuracy sufficient to detect the change of the velocity distribution. In non relativistic quantum theory the instantaneous velocity can be measured to any desired accuracy.

T. Kaufherr
2014-11-11

281

Beating of Aharonov-Bohm oscillations in a closed-loop interferometer Sanghyun Jo,1,2 Gyong Luck Khym,3 Dong-In Chang,1,2 Yunchul Chung,4,

  Materials Science Websites

Summary: Beating of Aharonov-Bohm oscillations in a closed-loop interferometer Sanghyun Jo,1,2 Gyong Luck-loop-type interferometers is beating in the Aharonov-Bohm AB oscillations. Recent observations suggest the possibility-loop interferometer fabricated on a GaAs/Al0.3Ga0.7As two-dimensional electron-gas heterostructure. Since

Lee, Hu-Jong

282

Filtering and analyzing mobile qubit information via Rashba-Dresselhaus-Aharonov-Bohm interferometers

  Quantum Physics (arXiv)

Summary: Spin-1/2 electrons are scattered through one or two diamond-like loops, made of quantum dots connected by one-dimensional wires, and subject to both an Aharonov-Bohm flux and (Rashba and Dresselhaus) spin-orbit interactions. With some symmetry between the two branches of each diamond, and with appropriate tuning of the electric and magnetic fields (or of the diamond shapes) this device completely blocks electrons with one polarization, and allows only electrons with the opposite polarization to be transmitted. The directions of these polarizations are tunable by these fields, and do not depend on the energy of the scattered electrons. For each range of fields one can tune the site and bond energies of the device so that the transmission of the fully polarized electrons is close to unity. Thus, these devices perform as ideal spin filters, and these electrons can be viewed as mobile qubits; the device writes definite quantum information on the spinors of the outgoing electrons. The device can also read the information written on incoming polarized electrons: the charge transmission through the device contains full information on this polarization. The double-diamond device can also act as a realization of the Datta-Das spin field-effect transistor.

Amnon Aharony; Yasuhiro Tokura; Guy Z. Cohen; Ora Entin-Wohlman; Shingo Katsumoto
2011-03-11

283

Filtering and analyzing mobile qubit information via Rashba-Dresselhaus-Aharonov-Bohm interferometers

  CERN Preprints

Summary: Spin-1/2 electrons are scattered through one or two diamond-like loops, made of quantum dots connected by one-dimensional wires, and subject to both an Aharonov-Bohm flux and (Rashba and Dresselhaus) spin-orbit interactions. With some symmetry between the two branches of each diamond, and with appropriate tuning of the electric and magnetic fields (or of the diamond shapes) this device completely blocks electrons with one polarization, and allows only electrons with the opposite polarization to be transmitted. The directions of these polarizations are tunable by these fields, and do not depend on the energy of the scattered electrons. For each range of fields one can tune the site and bond energies of the device so that the transmission of the fully polarized electrons is close to unity. Thus, these devices perform as ideal spin filters, and these electrons can be viewed as mobile qubits; the device writes definite quantum information on the spinors of the outgoing electrons. The device can also read the info...

Aharony, Amnon; Cohen, Guy Z; Entin-Wohlman, Ora; Katsumoto, Shingo
2011-01-01

284

Charge Detection in a Closed-Loop Aharonov-Bohm Interferometer

  CERN Preprints

Summary: We report on a study of complementarity in a two-terminal "closed-loop" Aharonov-Bohm interferometer. In this interferometer, the simple picture of two-path interference cannot be applied. We introduce a nearby quantum point contact to detect the electron in a quantum dot inserted in the interferometer. We found that charge detection reduces but does not completely suppress the interference even in the limit of perfect detection. We attribute this phenomenon to the unique nature of the closed-loop interferometer. That is, the closed-loop interferometer cannot be simply regarded as a two-path interferometer because of multiple reflections of electrons. As a result, there exist indistinguishable paths of the electron in the interferometer and the interference survives even in the limit of perfect charge detection. This implies that charge detection is not equivalent to path detection in a closed-loop interferometer. We also discuss the phase rigidity of the transmission probability for a two-terminal conductor ...

Khym, G L; Khym, Gyong Luck; Kang, Kicheon
2006-01-01

285

Aharonov-Bohm effect in relativistic and nonrelativistic 2D electron gas: a comparative study

  CERN Preprints

Summary: We carry out a comparative study of electronic properties of 2D electron gas (2DEG) in a magnetic field of an infinitesimally thin solenoid with relativistic dispersion as in graphene and quadratic dispersion as in semiconducting heterostructures. The problem of ambiguity of the zero mode solutions of the Dirac equation is treated by considering of a finite radius flux tube which allows to select unique solutions associated with each $\\mathbf{K}$ point of graphene's Brillouin zone. Then this radius is allowed to go to zero. On the base of the obtained in this case analytical solutions in the Aharonov-Bohm potential the local and total density of states (DOS) are calculated. It is shown that in the case of graphene there is an excess of LDOS near the vortex, while in 2DEG the LDOS is depleted. This results in excess of the induced by the vortex DOS in graphene and in its depletion in 2DEG. We discuss the application of the results for the local density of states for the scanning tunneling spectroscopy done on ...

Slobodeniuk, A O; Loktev, V M
2010-01-01

286

Charge Detection in a Closed-Loop Aharonov-Bohm Interferometer

  Astrophysics (arXiv)

Summary: We report on a study of complementarity in a two-terminal "closed-loop" Aharonov-Bohm interferometer. In this interferometer, the simple picture of two-path interference cannot be applied. We introduce a nearby quantum point contact to detect the electron in a quantum dot inserted in the interferometer. We found that charge detection reduces but does not completely suppress the interference even in the limit of perfect detection. We attribute this phenomenon to the unique nature of the closed-loop interferometer. That is, the closed-loop interferometer cannot be simply regarded as a two-path interferometer because of multiple reflections of electrons. As a result, there exist indistinguishable paths of the electron in the interferometer and the interference survives even in the limit of perfect charge detection. This implies that charge detection is not equivalent to path detection in a closed-loop interferometer. We also discuss the phase rigidity of the transmission probability for a two-terminal conductor in the presence of a detector.

Gyong Luck Khym; Kicheon Kang
2006-06-15

287

Transport, Aharonov-Bohm, and Topological Effects in Graphene Molecular Junctions and Graphene Nanorings

  HEP - Phenomenology (arXiv)

Summary: The unique ultra-relativistic, massless, nature of electron states in two-dimensional extended graphene sheets, brought about by the honeycomb lattice arrangement of carbon atoms in two-dimensions, provides ingress to explorations of fundamental physical phenomena in graphene nanostructures. Here we explore the emergence of new behavior of electrons in atomically precise segmented graphene nanoribbons (GNRs) and graphene rings with the use of tight-binding calculations, non-equilibrium Green's function transport theory, and a newly developed Dirac continuum model that absorbs the valence-to-conductance energy gaps as position-dependent masses, including topological-in-origin mass-barriers at the contacts between segments. Through transport investigations in variable-width segmented GNRs with armchair, zigzag, and mixed edge terminations we uncover development of new Fabry-Perot-like interference patterns in segmented GNRs, a crossover from the ultra-relativistic massless regime, characteristic of extended graphene systems, to a massive relativistic behavior in narrow armchair GNRs, and the emergence of nonrelativistic behavior in zigzag-terminated GNRs. Evaluation of the electronic states in a polygonal graphene nanoring under the influence of an applied magnetic field in the Aharonov-Bohm regime, and their analysis with the use of a relativistic quantum-field theoretical model, unveils development of a topological-in-origin zero-energy soliton state and charge fractionization. These results provide a unifying framework for analysis of electronic states, coherent transport phenomena, and the interpretation of forthcoming experiments in segmented graphene nanoribbons and polygonal rings.

Constantine Yannouleas; Igor Romanovsky; Uzi Landman
2015-02-16

288

Aharonov-Bohm effect in relativistic and nonrelativistic 2D electron gas: a comparative study

  HEP - Phenomenology (arXiv)

Summary: We carry out a comparative study of electronic properties of 2D electron gas (2DEG) in a magnetic field of an infinitesimally thin solenoid with relativistic dispersion as in graphene and quadratic dispersion as in semiconducting heterostructures. The problem of ambiguity of the zero mode solutions of the Dirac equation is treated by considering of a finite radius flux tube which allows to select unique solutions associated with each $\\mathbf{K}$ point of graphene's Brillouin zone. Then this radius is allowed to go to zero. On the base of the obtained in this case analytical solutions in the Aharonov-Bohm potential the local and total density of states (DOS) are calculated. It is shown that in the case of graphene there is an excess of LDOS near the vortex, while in 2DEG the LDOS is depleted. This results in excess of the induced by the vortex DOS in graphene and in its depletion in 2DEG. We discuss the application of the results for the local density of states for the scanning tunneling spectroscopy done on graphene.

A. O. Slobodeniuk; S. G. Sharapov; V. M. Loktev
2010-08-21

289

Creation of planar charged fermions in Coulomb and Aharonov-Bohm potentials

  HEP - Phenomenology (arXiv)

Summary: The creation of charged fermions from the vacuum by a Coulomb field in the presence of an Aharonov--Bohm (AB) potential are studied in 2+1 dimensions. The process is governed by a (singular) Dirac Hamiltonian that requires the supplementary definition in order for it to be treated as a self-adjoint quantum-mechanical operator. By constructing a one-parameter self-adjoint extension of the Dirac Hamiltonian, specified by boundary conditions, we describe the (virtual bound) quasistationary states with "complex energy" emerging in an attractive Coulomb potential, derive for the first time, complex equations (depending upon the electron spin and the extension parameter) for the quasistationary state "complex energy". The constructed self-adjoint Dirac Hamiltonians in Coulomb and AB potentials are applied to provide a correct description to the low-energy electron excitations, as well as the creation of charged quasiparticles from the vacuum in graphene by the Coulomb impurity in the presence of AB potential. It is shown that the strong Coulomb field can create charged fermions for some range of the extension parameter.

V. R. Khalilov
2013-09-09

290

Effect of vacuum polarization of charged massive fermions in an Aharonov--Bohm field

  Quantum Physics (arXiv)

Summary: The effect of vacuum polarization of charged massive fermions in an Aharonov-Bohm (AB) potential in 2+1 dimensions is investigated. The causal Green's function of the Dirac equation with the AB potential is represented via the regular and irregular solutions of the two-dimensional radial Dirac equation. It is shown that the vacuum current density contains the contribution from free filled states of the negative energy continuum as well as that from a bound unfilled state, which can emerge in the above background due to the interaction of the fermion spin magnetic moment with the AB magnetic field while the induced charge density contains only the contribution from the bound state. The expressions for the vacuum charge and induced current densities are obtained (recovered for massless fermions) for the graphene in the field of infinitesimally thin solenoid perpendicular to the plane of a sample. We also find the bound state energy as a function of magnetic flux, fermion spin and the radius of solenoid as well as discuss the role of the so-called self-adjoint extension parameter and determine it in terms of the physics of the problem.

V. R. Khalilov
2014-07-16

291

Bit-encoding and quantum transfer of Aharonov-Bohm phases

  Quantum Physics (arXiv)

Summary: Generation of Aharonov-Bohm (AB) phases has achieved a state-of-the-art in mesoscopic systems with manipulation and control of the AB effect. The possibility of transfer information enconded in such systems to light increases the possible scenarios where the information can be manipulated and transfered. In this paper we propose a bit-enconding of AB phases contrasting with the usual codifications using chirality or flux orientation. We propose a quantum transfer of the AB phase to a coherent state superposition, leading to the possibility of transfering AB phases to non-classical states of light and store the bit information enconded in this phase to a light mode field. We also discuss the storage of a string of bits enconded by AB phases in a product state and show that this scheme can be implemented to store a string of bits in high-Q or multimode cavities. Our propose can also be useful to further progress in methods of quantum information associated to modern techniques in synthetic gauge fields.

Thiago Prudencio
2015-03-06

292

A solenoidal synthetic field and the non-Abelian Aharonov-Bohm effects in neutral atoms

  Quantum Physics (arXiv)

Summary: Cold neutral atoms provide a versatile and controllable platform for emulating various quantum systems. Despite efforts to develop artificial gauge fields in these systems, realizing a unique ideal-solenoid-shaped magnetic field within the quantum domain in any real-world physical system remains elusive. Here we propose a scheme to generate a "hairline" solenoid with an extremely small size around 1 micrometer which is smaller than the typical coherence length in cold atoms. Correspondingly, interference effects will play a role in transport. Despite the small size, the magnetic flux imposed on the atoms is very large thanks to the very strong field generated inside the solenoid. By arranging different sets of Laguerre-Gauss (LG) lasers, the generation of Abelian and non-Abelian SU(2) lattice gauge fields is proposed for neutral atoms in ring- and square-shaped optical lattices. As an application, interference patterns of the magnetic type-I Aharonov-Bohm (AB) effect are obtained by evolving atoms along a circle over several tens of lattice cells. During the evolution, the quantum coherence is maintained and the atoms are exposed to a large magnetic flux. The scheme requires only standard optical access, and is robust to weak particle interactions.

Ming-Xia Huo; Nie Wei; David A. W. Hutchinson; Leong Chuan Kwek
2014-08-11

293

Aharonov-Bohm Effect and High-Momenta Inverse Scattering for the Klein-Gordon Equation

  Mathematical Physics (arXiv)

Summary: We analyze spin-0 relativistic scattering of charged particles propagating in the exterior, $\\Lambda \\subset \\mathbb{R}^3$, of a compact obstacle $K \\subset \\mathbb{R}^3$. The connected components of the obstacle are handlebodies. The particles interact with an electro-magnetic field in $\\Lambda$ and an inaccessible magnetic field localized in the interior of the obstacle (through the Aharonov-Bohm effect). We obtain high-momenta estimates, with error bounds, for the scattering operator that we use to recover physical information: We give a reconstruction method for the electric potential and the exterior magnetic field and prove that, if the electric potential vanishes, circulations of the magnetic potential around handles (or equivalently, by Stokes' theorem, magnetic fluxes over transverse sections of handles) of the obstacle can be recovered, modulo $2 \\pi$. We additionally give a simple formula for the high-momenta limit of the scattering operator in terms of certain magnetic fluxes, in the absence of electric potential. If the electric potential does not vanish, the magnetic fluxes on the handles above referred can be only recovered modulo $\\pi$ and the simple expression of the high-momenta limit of the scattering operator does not hold true.

Miguel Ballesteros; Ricardo Weder
2015-06-03

294

Precession and interference in the Aharonov-Casher and scalar Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The ideal scalar Aharonov-Bohm (SAB) and Aharonov-Casher (AC) effect involve a magnetic dipole pointing in a certain fixed direction: along a purely time dependent magnetic field in the SAB case and perpendicular to a planar static electric field in the AC case. We extend these effects to arbitrary direction of the magnetic dipole. The precise conditions for having nondispersive precession and interference effects in these generalized set ups are delineated both classically and quantally. Under these conditions the dipole is affected by a nonvanishing torque that causes pure precession around the directions defined by the ideal set ups. It is shown that the precession angles are in the quantal case linearly related to the ideal phase differences, and that the nonideal phase differences are nonlinearly related to the ideal phase differences. It is argued that the latter nonlinearity is due the appearance of a geometric phase associated with the nontrivial spin path. It is further demonstrated that the spatial force vanishes in all cases except in the classical treatment of the nonideal AC set up, where the occurring force has to be compensated by the experimental arrangement. Finally, for a closed space-time loop the local precession effects can be inferred from the interference pattern characterized by the nonideal phase differences and the visibilities. It is argued that this makes it natural to regard SAB and AC as essentially local and nontopological effects.

Philipp Hyllus; Erik Sjöqvist
2002-10-10

295

The Aharonov-Bohm scattering : the role of the incident wave

  HEP - Theory (arXiv)

Summary: The scattering problem under the influence of the Aharonov-Bohm (AB) potential is reconsidered. By solving the Lippmann-Schwinger (LS) equation we obtain the wave function of the scattering state in this system. In spite of working with a plane wave as an incident wave we obtain the same wave function as was given by Aharonov and Bohm. Another method to solve the scattering problem is given by making use of a modified version of Gordon's idea which was invented to consider the scattering by the Coulomb potential. These two methods give the same result, which guarantees the validity of taking an incident plane wave as usual to make an analysis of this scattering problem. The scattering problem by a solenoid of finite radius is also discussed, and we find that the vector potential of the solenoid affects the charged particles even when the magnitude of the flux is an odd integer as well as noninteger. It is shown that the unitarity of the $S$ matrix holds provided that a plane wave is taken to be an incident one.

S. Sakoda; M. Omote
1996-04-10

296

On the causality of electrodynamics and the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: This paper presents a \\emph{non-instant field model} for electrodynamics that permits a causal explanation of the \\emph{Aharonov-Bohm effect} and a \\emph{covariant quantization} of the respective Maxwell equations via the \\emph{Gupta-Bleuler method}. Our model satisfies the following \\emph{correspondence principle}: if $A^\\mu$, $\\vE$, $\\vB$ denote the four potential, the electric field and the magnetic field of the non-instant field model, then the respective classical quantities are $\\A[A^\\mu]$, $\\A[\\vE]$, $\\A[\\vB]$, where $\\A$ is a covariant time averaging operator. Here $\\A[A^\\mu]$ is interpreted as the best possible measurement of the four potential $A^\\mu$. Although the Lorentz condition is not satisfied for $A^\\mu$, it is satisfied for $\\A[A^\\mu]$. The latter fact means that the Lorentz condition does not hold for the quantized field but for its expectation value (cf. \\emph{Gupta-Bleuler method} of quantization). Finally, we derive the energy conservation law of our field model and show that the field energy is quantized.

Richard Kowar
2011-11-24

297

NonAbelian Vortices, Large Winding Limits and Aharonov-Bohm Effects

  CERN Preprints

Summary: Remarkable simplification arises from considering vortex equations in the large winding limit. This was recently used in [1] to display all sorts of vortex zeromodes, the orientational, translational, fermionic as well as semi-local, and to relate them to the apparently distinct phenomena of the Nielsen-Olesen-Ambjorn magnetic instabilities. Here we extend these analyses to more general types of BPS nonAbelian vortices, taking as a prototype a system with gauged U(1) x SU(N) x SU(N) symmetry where the VEV of charged scalar fields in the bifundamental representation breaks the symmetry to SU(N)_{l+r} . The presence of the massless SU(N)_{l+r} gauge fields in 4D bulk introduces all sorts of non-local, topological phenomena such as the nonAbelian Aharonov-Bohm effects, which in the theory with global SU(N)_r group (g_r=0) are washed away by the strongly fluctuating orientational zeromodes in the worldsheet. Physics changes qualitatively at the moment the right gauge coupling constant g_r is turned on.

Bolognesi, Stefano; Konishi, Kenichi
2015-01-01

298

NonAbelian Vortices, Large Winding Limits and Aharonov-Bohm Effects

  HEP - Theory (arXiv)

Summary: Remarkable simplification arises from considering vortex equations in the large winding limit. This was recently used in [1] to display all sorts of vortex zeromodes, the orientational, translational, fermionic as well as semi-local, and to relate them to the apparently distinct phenomena of the Nielsen-Olesen-Ambjorn magnetic instabilities. Here we extend these analyses to more general types of BPS nonAbelian vortices, taking as a prototype a system with gauged U(1) x SU(N) x SU(N) symmetry where the VEV of charged scalar fields in the bifundamental representation breaks the symmetry to SU(N)_{l+r} . The presence of the massless SU(N)_{l+r} gauge fields in 4D bulk introduces all sorts of non-local, topological phenomena such as the nonAbelian Aharonov-Bohm effects, which in the theory with global SU(N)_r group (g_r=0) are washed away by the strongly fluctuating orientational zeromodes in the worldsheet. Physics changes qualitatively at the moment the right gauge coupling constant g_r is turned on.

Stefano Bolognesi; Chandrasekhar Chatterjee; Kenichi Konishi
2015-03-20

299

Aharonov-Bohm interference in the presence of metallic mesoscopic cylinders

  Quantum Physics (arXiv)

Summary: This work studies the interference of electrons in the presence of a line of magnetic flux surrounded by a normal-conducting mesoscopic cylinder at low temperature. It is found that, while there is a supplementary phase contribution from each electron of the mesoscopic cylinder, the sum of these individual supplementary phases is equal to zero, so that the presence of a normal-conducting mesoscopic ring at low temperature does not change the Aharonov-Bohm interference pattern of the incident electron. It is shown that it is not possible to ascertain by experimental observation that the shielding electrons have responded to the field of an incident electron, and at the same time to preserve the interference pattern of the incident electron. It is also shown that the measuring of the transient magnetic field in the region between the two paths of an electron interference experiment with an accuracy at least equal to the magnetic field of the incident electron generates a phase uncertainty which destroys the interference pattern.

Silviu Olariu
1997-02-10

300

Classical Interaction of a Magnet and a Point Charge: The Classical Electromagnetic Forces Responsible for the Aharonov-Bohm Phase Shift

  CERN Preprints

Summary: A new classical electromagnetic analysis is presented suggesting that the Aharonov-Bohm phase shift is overwhelmingly likely to arise from a classical lag effect based upon classical electromagnetic forces. The analysis makes use of several aspects of classical electromagnetic theory which are unfamiliar to most physicists, including the Darwin Lagrangian, acceleration-based electric fields, internal electromagnetic momentum in a magnet, and a magnet model involving at least three mutually-interacting particles. Only when the acceleration-based electric forces acting on the passing charge are included do we find consistency with all the relativistic conservation laws: energy, linear momentum, angular momentum, and constant center-of-mass velocity. The electric forces on the passing charge lead to a lag effect which accounts quantitatively for the Aharonov-Bohm phase shift. Thus the classical analysis strongly suggests that the Aharonov-Bohm phase shift (observed when electrons pass a long solenoid which corre...

Boyer, Timothy H
2014-01-01

301

Nonlocal Phases of Local Quantum Mechanical Wavefunctions in Static and Time-Dependent Aharonov-Bohm Experiments

  Mathematical Physics (arXiv)

Summary: We show that the standard Dirac phase factor is not the only solution of the gauge transformation equations. The full form of a general gauge function (that connects systems that move in different sets of scalar and vector potentials), apart from Dirac phases also contains terms of classical fields that act nonlocally (in spacetime) on the local solutions of the time-dependent Schr\\"odinger equation: the phases of wavefunctions in the Schr\\"odinger picture are affected nonlocally by spatially and temporally remote magnetic and electric fields, in ways that are fully explored. These contributions go beyond the usual Aharonov-Bohm effects (magnetic or electric). (i) Application to cases of particles passing through static magnetic or electric fields leads to cancellations of Aharonov-Bohm phases at the observation point; these are linked to behaviors at the semiclassical level (to the old Werner & Brill experimental observations, or their "electric analogs" - or to recent reports of Batelaan & Tonomura) but are shown to be far more general (true not only for narrow wavepackets but also for completely delocalized quantum states). By using these cancellations, certain previously unnoticed sign-errors in the literature are corrected. (ii) Application to time-dependent situations provides a remedy for erroneous results in the literature (on improper uses of Dirac phase factors) and leads to phases that contain an Aharonov-Bohm part and a field-nonlocal part: their competition is shown to recover Relativistic Causality in earlier "paradoxes" (such as the van Kampen thought-experiment), while a more general consideration indicates that the temporal nonlocalities found here demonstrate in part a causal propagation of phases of quantum mechanical wavefunctions in the Schr\\"odinger picture. This may open a direct way to address time-dependent double-slit experiments and the associated causal issues

Konstantinos Moulopoulos
2010-09-17

302

Dephasing in an Aharonov-Bohm interferometer containing a lateral double quantum dot induced by coupling with a quantum dot charge sensor

  Quantum Physics (arXiv)

Summary: We theoretically investigated the dephasing in an Aharonov-Bohm interferometer containing a lateral double quantum dot induced by coupling with a quantum dot charge sensor. We employed the interpolative 2nd-order perturbation theory to include the charge sensing Coulomb interaction. It is shown that the visibility of the Aharonov-Bohm oscillation of the linear conductance decreases monotonically as the sensing Coulomb interaction increases. In particular, for a weak sensing interaction regime, the visibility decreases parabolically, and it behaves linearly for a strong sensing interaction regime.

T. Kubo; Y. Tokura; S. Tarucha
2010-05-12

303

Exact solution of the Dirac equation for a Coulomb and a scalar Potential in the presence of of an Aharonov-Bohm and magnetic monopole fields

  HEP - Theory (arXiv)

Summary: In the present article we analyze the problem of a relativistic Dirac electron in the presence of a combination of a Coulomb field, a $1/r$ scalar potential as well as a Dirac magnetic monopole and an Aharonov-Bohm potential. Using the algebraic method of separation of variables, the Dirac equation expressed in the local rotating diagonal gauge is completely separated in spherical coordinates, and exact solutions are obtained. We compute the energy spectrum and analyze how it depends on the intensity of the Aharonov-Bohm and the magnetic monopole strengths.

Víctor M. Villalba
1995-03-08

304

Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system

  Quantum Physics (arXiv)

Summary: We explain the origin and the nature of a special nonlinear supersymmetry of a reflectionless Poschl-Teller system by the Aharonov-Bohm effect for a nonrelativistic particle on the AdS_2. A key role in the supersymmetric structure appearing after reduction by a compact generator of the AdS_2 isometry is shown to be played by the discrete symmetries related to the space and time reflections in the ambient Minkowski space. We also observe that a correspondence between the two quantum non-relativistic systems is somewhat of the AdS/CFT holography nature.

Francisco Correa; Vit Jakubsky; Mikhail S. Plyushchay
2009-03-29

305

Perturbative Study of Bremsstrahlung and Pair-Production by Spin-1/2 Particles in the Aharonov-Bohm Potential

  Quantum Physics (arXiv)

Summary: In the presence of an external Aharonov-Bohm potential, we investigate the two QED processes of the emission of a bremsstrahlung photon by an electron, and the production of an electron-positron pair by a single photon. Calculations are carried out using the Born approximation within the framework of covariant perturbation theory to lowest non-vanishing order in \\alpha. The matrix element for each process is derived, and the corresponding differential cross-section is calculated. In the non-relativistic limit, the resulting angular and spectral distributions and some polarization properties are considered, and compared to results of previous works.

U. A. al-Binni; M. S. Shikakhwa
2004-05-24

306

Elastic scattering and bound states in the Aharonov-Bohm potential superimposed by an attractive $?^{-2}$ potential

  Quantum Physics (arXiv)

Summary: We consider the elastic scattering and bound states of charged quantum particles moving in the Aharonov-Bohm and an attractive $\\rho^{-2}$ potential in a partial wave approach. Radial solutions of the stationary Schr\\"{o}dinger equation are specified in such a way that the Hamiltonian of the problem is self-adjoint. It is shown that they are not uniquely fixed but depend on open parameters. The related physical consequences are discussed. The scattering cross section is calculated and the energy spectrum of bound states is obtained.

Juergen Audretsch; Vladimir D. Skarzhinsky; Boris L. Voronov
2000-11-30

307

Off-Diagonal Long-Range Order, Restricted Gauge Transformations, and Aharonov-Bohm Effect in Conductors

  HEP - Theory (arXiv)

Summary: The Hamiltonian describing a conductor surrounding an external magnetic field contains a nonvanishing vector potential in the volume accessible to the electrons and nuclei of which the conductor is made. That vector potential cannot be removed by a gauge transformation. Nevertheless, a macroscopic normal conductor can experience no Aharonov-Bohm effect. That is proved by assuming only that a normal conductor lacks off-diagonal long-range order (ODLRO). Then by restricting the Hilbert space to density matrices which lack ODLRO, it is possible to introduce a restricted gauge transformation that removes the interaction of the conductor with the vector potential.

Murray Peshkin
1995-10-20

308

Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect and Anomalous Cross Section induced by Quantum Interference

  Quantum Physics (arXiv)

Summary: Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard shere'' like potential and the magnetic flux is examined. An anomalous total cross section is revealed at the specific quantized magnetic flux at low energy which helps explain the composite fermion and boson model in the fractional quantum Hall effect. Since the nonlocal quantum interference of magnetic flux on the charged particles is universal, the nonlocal effect is expected to appear in quite general potential system and will be useful in understanding some other phenomena in mesoscopic phyiscs.

De-Hone Lin
2004-06-09

309

High-Velocity Estimates for the Scattering Operator and Aharonov-Bohm Effect in Three Dimensions

  Mathematical Physics (arXiv)

Summary: We obtain high-velocity estimates with error bounds for the scattering operator of the Schr\\"odinger equation in three dimensions with electromagnetic potentials in the exterior of bounded obstacles that are handlebodies. A particular case is a finite number of tori. We prove our results with time-dependent methods. We consider high-velocity estimates where the direction of the velocity of the incoming electrons is kept fixed as its absolute value goes to infinity. In the case of one torus our results give a rigorous proof that quantum mechanics predicts the interference patterns observed in the fundamental experiments of Tonomura et al. that gave a conclusive evidence of the existence of the Aharonov-Bohm effect using a toroidal magnet. We give a method for the reconstruction of the flux of the magnetic field over a cross-section of the torus modulo $2\\pi$. Equivalently, we determine modulo $2\\pi$ the difference in phase for two electrons that travel to infinity, when one goes inside the hole and the other outside it. For this purpose we only need the high-velocity limit of the scattering operator for one direction of the velocity of the incoming electrons. When there are several tori -or more generally handlebodies- the information that we obtain in the fluxes, and on the difference of phases, depends on the relative position of the tori and on the direction of the velocities when we take the high-velocity limit of the incoming electrons. For some locations of the tori we can determine all the fluxes modulo 2$\\pi$ by taking the high-velocity limit in only one direction. We also give a method for the unique reconstruction of the electric potential and the magnetic field outside the handlebodies from the high-velocity limit of the scattering operator.

Miguel Ballesteros; Ricardo Weder
2007-11-16

310

Electron vortex beams in a magnetic field: A new twist on Landau levels and Aharonov-Bohm states

  Quantum Physics (arXiv)

Summary: We examine the propagation of the recently-discovered electron vortex beams in a longitudinal magnetic field. We consider both the Aharonov-Bohm configuration with a single flux line and the Landau case of a uniform magnetic field. While stationary Aharonov-Bohm modes represent Bessel beams with flux- and vortex-dependent probability distributions, stationary Landau states manifest themselves as non-diffracting Laguerre-Gaussian beams. Furthermore, the Landau-state beams possess field- and vortex-dependent phases: (i) the Zeeman phase from coupling the quantized angular momentum to the magnetic field and (ii) the Gouy phase, known from optical Laguerre-Gaussian beams. Remarkably, together these phases determine the structure of Landau energy levels. This unified Zeeman-Landau-Gouy phase manifests itself in a nontrivial evolution of images formed by various superpositions of modes. We demonstrate that, depending on the chosen superposition, the image can rotate in a magnetic field with either (i) Larmor, (ii) cyclotron (double-Larmor), or (iii) zero frequency. At the same time, its centroid always follows the classical cyclotron trajectory, in agreement with the Ehrenfest theorem. Remarkably, the non-rotating superpositions reproduce stable multi-vortex configurations that appear in rotating superfluids. Our results open up an avenue for the direct electron-microscopy observation of fundamental properties of free quantum electron states in magnetic fields.

Konstantin Y. Bliokh; Peter Schattschneider; Jo Verbeeck; Franco Nori
2012-10-02

311

On the spin-1/2 Aharonov-Bohm problem in conical space: bound states, scattering and helicity nonconservation

  Mathematical Physics (arXiv)

Summary: In this work the bound state and scattering problems for a spin-1/2 particle undergone to an Aharonov-Bohm potential in a conical space in the nonrelativistic limit are considered. The presence of a \\delta-function singularity, which comes from the Zeeman spin interaction with the magnetic flux tube, is addressed by the self-adjoint extension method. One of the advantages of the present approach is the determination of the self-adjoint extension parameter in terms of physics of the problem. Expressions for the energy bound states, phase-shift and $S$ matrix are determined in terms of the self-adjoint extension parameter, which is explicitly determined in terms of the parameters of the problem. The relation between the bound state and zero modes and the failure of helicity conservation in the scattering problem and its relation with the gyromagnetic ratio $g$ are discussed. Also, as an application, we consider the spin-1/2 Aharonov-Bohm problem in conical space plus a two-dimensional isotropic harmonic oscillator.

F. M. Andrade; E. O. Silva; M. Pereira
2013-10-23

312

Zero-energy states of fermions in the field of Aharonov--Bohm type in 2+1 dimensions

  Quantum Physics (arXiv)

Summary: The quantum-mechanical problem of constructing a self-adjoint Hamiltonian for the Dirac equation in an Aharonov--Bohm field in 2+1 dimensions is solved with taking into account the fermion spin. The one-parameter family of self-adjoint extensions is found for the above Dirac Hamiltonian with particle spin. The correct domain of the self-adjoint Hamiltonian extension selecting by means of acceptable boundary conditions can contain regular and singular (at the point ${\\bf r}=0$) square-integrable functions on the half-line with measure $rdr$. We argue that the physical reason of the existence of singular solutions is the additional attractive potential, which appear due to the interaction between the spin magnetic moment of fermion and Aharonov--Bohm magnetic field. For some range of parameters there are bound fermionic states. It is shown that fermion (particle and antiparticle) states with zero energy are intersected what signals on the instability of quantum system and the possibility of a fermion-antifermion pair creation by the static external field.

V. R. Khalilov
2010-02-24

313

Interference of heavy holes in an Aharonov-Bohm ring Dimitrije Stepanenko,1 Minchul Lee,2 Guido Burkard,3 and Daniel Loss1

  Materials Science Websites

Summary: in the Aharonov-Bohm oscillations when the ring is in a perpendicular magnetic field. We find the control over mag- netic field to operate.11­14 Recently, a number of experimental15,16 and theoretical4 trajectories,19 or described in a lattice model.20 Studies of the conduction through quantum dots embedded


314

Classical Interaction of a Magnet and a Point Charge: The Classical Electromagnetic Forces Responsible for the Aharonov-Bohm Phase Shift

  Quantum Physics (arXiv)

Summary: A new classical electromagnetic analysis is presented suggesting that the Aharonov-Bohm phase shift is overwhelmingly likely to arise from a classical lag effect based upon classical electromagnetic forces. The analysis makes use of several aspects of classical electromagnetic theory which are unfamiliar to most physicists, including the Darwin Lagrangian, acceleration-based electric fields, internal electromagnetic momentum in a magnet, and a magnet model involving at least three mutually-interacting particles. Only when the acceleration-based electric forces acting on the passing charge are included do we find consistency with all the relativistic conservation laws: energy, linear momentum, angular momentum, and constant center-of-mass velocity. The electric forces on the passing charge lead to a lag effect which accounts quantitatively for the Aharonov-Bohm phase shift. Thus the classical analysis strongly suggests that the Aharonov-Bohm phase shift (observed when electrons pass a long solenoid which corresponds to a line of magnetic dipoles) is the analogue of the Matteucci-Pozzi phase shift (observed when electrons pass a line of electric dipoles). The classical electromagnetic analysis suggests experiments to distinguish the proposed classical-based lag effect from the presently accepted view that the Aharonov-Bohm phase shift is a quantum topological effect arising from magnetic fluxes in the absence of classical electromagnetic forces.

Timothy H. Boyer
2014-08-26

315

Mesoscopic photovoltaic effect in GaAs/Ga1-xAlxAs Aharonov-Bohm rings L. Angers, A. Chepelianskii, R. Deblock, B. Reulet, and H. Bouchiat

  Physics Websites

Summary: Mesoscopic photovoltaic effect in GaAs/Ga1-xAlxAs Aharonov-Bohm rings L. Angers, A. Chepelianskii specific dc voltage. We have investigated this photovoltaic PV effect on GaAs/Ga1-xAlxAs Aharonov is generally done by measuring the dc induced signal sometimes called photovoltaic effect which has also given

Shepelyansky, Dima

316

Induced Fractional Zero-Point Canonical Angular Momentum on Charged Particles of Aharonov - Bohm Vector Potential and "Spectator" Magnetic Field

  Quantum Physics (arXiv)

Summary: The induced fractional zero-point canonical angular momentum on charged particles by the Aharonov - Bohm (AB) vector potential is realized via modified combined traps. It explores new features for this type of quantum effects: In a limit of vanishing mechanical kinetic energy the AB vector potential alone cannot induce a fractional zero-point canonical angular momentum on charged particles at the quantum mechanical level in the AB magnetic field-free region; But for the case of the AB vector potential with another one of a "spectator" magnetic field the AB vector potential induces a fractional zero-point canonical angular momentum in the same limit. The "spectator" one does not contribute to such a fractional zero-point quantity, but plays essential role in guaranteeing non-trivial dynamics survived in this limit at the quantum mechanical level. These results are significance in investigations of the AB effects and related fields for both theories and experiments.

Jian-Zu Zhang
2007-11-02

317

On the spectrum of the Schrodinger Operator with Aharonov-Bohm Magnetic Field in quantum waveguide with Neumann window

  Mathematical Physics (arXiv)

Summary: In a previous study \\cite{n} we investigate the bound states of the Hamiltonian describing a quantum particle living on three dimensional straight strip of width $d$. We impose the Neumann boundary condition on a disc window of radius $a$ and Dirichlet boundary conditions on the remained part of the boundary of the strip. We proved that such system exhibits discrete eigenvalues below the essential spectrum for any $a>0$. In the present work we study the effect of a magnetic filed of Aharonov-Bohm type when the magnetic field is turned on this system. Precisely we prove that in the presence of such magnetic filed there is some critical values of $a_0>0$, for which we have absence of the discrete spectrum for $\\displaystyle 0<\\frac{a}{d}

H. Najar; M. Rayssi
2012-11-10

318

Path integral action of a particle in a magnetic field in the noncommutative plane and the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The formulation of noncommutative quantum mechanics as a quantum system represented in the space of Hilbert-Schmidt operators is used to systematically derive, using the standard time slicing procedure, the path integral action for a particle moving in the noncommutative plane and in the presence of a magnetic field and an arbitrary potential. Using this action, the equation of motion and the ground state energy for the partcle are obtained explicitly. The Aharonov-Bohm phase is derived using a variety of methods and several dualities between this system and other commutative and noncommutative systems are demonstrated. Finally, the equivalence of the path integral formulation with the noncommutative Schr\\"{o}dinger equation is also established.

Sunandan Gangopadhyay; Frederik G Scholtz
2014-01-08

319

Finite Difference-Time Domain solution of the Dirac equation and the dynamics of the Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a vector potential is studied in the arrangements associated with the Aharonov-Bohm effect. The solution of the Dirac equation showed a change in the velocity of the electron wave packet even in a region where no forces acted on the electron. The solution of the Dirac equation agreed with the prediction of classical dynamics under the assumption that the dynamics was defined by the conservation of generalized or canonical momentum. It was also shown that in the case when the magnetic field was not zero, the conservation of generalized or canonical momentum was equivalent to the action of the Lorentz force.

Neven Simicevic
2009-09-14

320

Reduction by symmetries in singular quantum-mechanical problems: general scheme and application to Aharonov-Bohm model

  Mathematical Physics (arXiv)

Summary: We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Problems of this type naturally arise when considering two- and three-dimensional Schr\\"odinger operators with singular potentials. The approach is based on constructing a unitary transformation diagonalizing the symmetries and reducing the initial operator to the direct integral of a suitable family of partial operators. We prove that symmetry preserving self-adjoint extensions of the initial operator are in a one-to-one correspondence with measurable families of self-adjoint extensions of partial operators obtained by reduction. The general scheme is applied to the three-dimensional Aharonov-Bohm Hamiltonian describing the electron in the magnetic field of an infinitely thin solenoid. We construct all self-adjoint extensions of this Hamiltonian, invariant under translations along the solenoid and rotations around it, and explicitly find their eigenfunction expansions.

A. G. Smirnov
2014-12-15

321

Quantum geometric phase in Majorana's stellar representation: Mapping onto a many-body Aharonov-Bohm phase

  Mathematical Physics (arXiv)

Summary: The (Berry-Aharonov-Anandan) geometric phase acquired during a cyclic quantum evolution of finite-dimensional quantum systems is studied. It is shown that a pure quantum state in a (2J+1)-dimensional Hilbert space (or, equivalently, of a spin-J system) can be mapped onto the partition function of a gas of independent Dirac strings moving on a sphere and subject to the Coulomb repulsion of 2J fixed test charges (the Majorana stars) characterizing the quantum state. The geometric phase may be viewed as the Aharonov-Bohm phase acquired by the Majorana stars as they move through the gas of Dirac strings. Expressions for the geometric connection and curvature, for the metric tensor, as well as for the multipole moments (dipole, quadrupole, etc.), are given in terms of the Majorana stars. Finally, the geometric formulation of the quantum dynamics is presented and its application to systems with exotic ordering such as spin nematics is outlined.

Patrick Bruno
2012-06-13

322

Dirac Particle in an Aharonov-Bohm Potential: The Structure of the First Order S-matrix

  Mathematical Physics (arXiv)

Summary: The structure of the interaction Hamiltonian in the first order $S-$matrix element of a Dirac particle in an Aharonov-Bohm (AB) field is analyzed and shown to have interesting algebraic properties. It is demonstrated that as a consequence of these properties, this interaction Hamiltonian splits both the incident and outgoing waves in the the first order $S-$matrix into their $\\frac{\\Sigma_3}{2}-$components (eigenstates of the third component of the spin). The matrix element can then be viewed as the sum of two transitions taking place in these two channels of the spin. At the level of partial waves, each partial wave of the conserved total angular momentum is split into two partial waves of the orbital angular momentum in a manner consistent with the conservation of the total angular momentum quantum number.

M. S. Shikakhwa
2006-08-05

323

Barotropic Magnetohydrodynamics as a Four Function Field Theory with Non-Trivial Topology and Aharonov-Bohm Effects

  Quantum Physics (arXiv)

Summary: Variational principles for magnetohydrodynamics were introduced by previous authors both in Lagrangian and Eulerian form. In previous works [1] Yahalom & Lynden-Bell and later Yahalom [2] introduced a simpler Eulerian variational principle from which all the relevant equations of Magnetohydrodynamics can be derived. The variational principles were given in terms of four independent functions for non-stationary flows and three independent functions for stationary flows. This is less than the seven variables which appear in the standard equations of magnetohydrodynamics which are the magnetic field, the velocity field and the density . In the case that the magnetohydrodynamic flow has a non trivial topology such as when the magnetic lines are knotted or magnetic and stream lines are knotted, some of the functions appearing in the Lagrangian are non-single valued. Those functions play the same rule as the phase in the Aharonov-Bohm celebrated effect [3].

Asher Yahalom
2010-05-21

324

New application of decomposition of U(1) gauge potential:Aharonov-Bohm effect and Anderson-Higgs mechanism

  Quantum Physics (arXiv)

Summary: In this paper we study the Aharonov-Bohm (A-B) effect and Anderson-Higgs mechanism in Ginzburg-Landau model of superconductors from the perspective of the decomposition of U(1) gauge potential. By the Helmholtz theorem, we derive exactly the expression of the transverse gauge potential $\\vec{A}_\\perp$ in A-B experiment, which is gauge-invariant and physical. For the case of a bulk superconductor, we find that the gradient of the total phase field $\\theta$ provides the longitudinal component ${\\vec A}_{\\parallel}$, which reflects the Anderson-Higgs mechanism. For the case of a superconductor ring, the gradient of the longitudinal phase field $\\theta_1$ provides the longitudinal component ${\\vec A}_{\\parallel}$, while the transverse phase field $\\theta_2$ produces new physical effects such as the flux quantization inside a superconducting ring.

Jian-Feng Li; Yu Jiang; Wei-Min Sun; Hong-Shi Zong; Fan Wang
2012-05-29

325

Spin polarisation by external magnetic fields, Aharonov-Bohm flux strings, and chiral symmetry breaking in QED$_3$

  HEP - Theory (arXiv)

Summary: In the first part, the induced vacuum spin around an Aharonov-Bohm flux string in massless three-dimensional QED is computed explicitly and the result is shown to agree with a general index theorem. A previous observation in the literature, that the presence of induced vacuum quantum numbers which are not periodic in the flux make an integral-flux AB string visible, is reinforced. In the second part, a recent discussion of chiral symmetry breaking by external magnetic fields in parity invariant QED$_3$ and its relation to the induced spin in parity non-invariant QED$_3$ is further elaborated. Finally other vacuum polarisation effects around flux tubes in different variants of QED, in three and four dimensions are mentioned.

Rajesh Parwani
1995-06-09

326

Partial wave Analysis of the First Order Born Amplitude of a Dirac Particle in an Aharonov-Bohm Potential

  HEP - Theory (arXiv)

Summary: A partial wave analysis using the basis of the total angular momentum operator J_3 is carried out for the first order Born amplitude of a Dirac particle in an Aharonov-Bohm (AB)potential. It is demonstrated that the s-partial wave contributes to the scattering amplitude in contrast to the case with scalar non-relativistic particles.We suggest that this explains the fact that the first order Born amplitude of a Dirac particle coincides with the exact amplitude expanded to the same order, where it does not for a scalar particle. An interesting algebra involving the Dirac velocity operator and the angular observables is discovered and its consequences are exploited.

M. S. Shikakhwa; N. K. Pak
2003-02-20

327

Finite Difference-Time Domain solution of the Dirac equation and the dynamics of the Aharonov-Bohm effect

  CERN Preprints

Summary: The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a vector potential is studied in the arrangements associated with the Aharonov-Bohm effect. The solution of the Dirac equation showed a change in the velocity of the electron wave packet even in a region where no forces acted on the electron. The solution of the Dirac equation agreed with the prediction of classical dynamics under the assumption that the dynamics was defined by the conservation of generalized or canonical momentum. It was also shown that in the case when the magnetic field was not zero, the conservation of generalized or canonical momentum was equivalent to the action of the Lorentz force.

Simicevic, Neven
2009-01-01

328

Linear Dynamic Polarizability and the Absorption Spectrum of an Exciton in an Aharonov-Bohm Quantum Ring

  Quantum Physics (arXiv)

Summary: We analytically solve the problem of an exciton (with particles interacting by a delta potential) in a one-dimensional quantum ring in the presence of an Aharonov-Bohm flux. By following a more straightforward method than in earlier works we determine the energy spectrum and the associated eigenfunctions together with other physical properties of the system in closed analytical forms. After finding the energy spectra of the exciton in this system, we then calculate the dynamic linear electric polarizability and the absorption coefficients; we find that the magnetic flux changes the values of the absorption coefficients dramatically and that by changing the value of magnetic flux parameter from 0 to 0.5 dark exciton states states transform to bright ones and vice versa.

A. V. Ghazaryan; A. P. Djotyan; K. Moulopoulos; A. A. Kirakosyan
2011-05-30

329

Effective Beam Separation Schemes for the Measurement of the Electric Aharonov-Bohm Effect in an Ion Interferometer

  Quantum Physics (arXiv)

Summary: We propose an experiment for the first proof of the type I electric Aharonov-Bohm effect in an ion interferometer for hydrogen. The performances of three different beam separation schemes are simulated and compared. The coherent ion beam is generated by a single atom tip (SAT) source and separated by either two biprisms with a quadrupole lens, two biprisms with an einzel-lens or three biprisms. The beam path separation is necessary to introduce two metal tubes that can be pulsed with different electric potentials. The high time resolution of a delay line detector allows to work with a continuous ion beam and circumvents the pulsed beam operation as originally suggested by Aharonov and Bohm. We demonstrate, that the higher mass and therefore lower velocity of ions compared to electrons combined with the high expected SAT ion emission puts the direct proof of this quantum effect for the first time into reach of current technical possibilities. Thereby a high coherent ion detection rate is crucial to avoid long integration times that allow the influence of dephasing noise from the environment. We can determine the period of the expected matter wave interference pattern and the signal on the detector by determining the superposition angle of the coherent partial beams. Our simulations were tested with an electron interferometer setup and agree with the experimental results. We determine the separation scheme with three biprisms to be most efficient and predict a total signal acquisition time of only 80 s to measure a phase shift from 0 to 2$\\pi$ due to the electric Aharonov-Bohm effect.

Georg Schütz; Alexander Rembold; Andreas Pooch; Henrike Prochel; Alexander Stibor
2014-12-19

330

Classical Electromagnetic Interaction of a Point Charge and a Magnetic Moment: Considerations Related to the Aharonov-Bohm Phase Shift

  Physics (arXiv)

Summary: A fundamentally new understanding of the classical electromagetic interaction of a point charge and a magnetic moment through order second order in 1/c is suggested. This relativistic analysis connects together hidden momentum in magnets, Solem's strange polarization of the classical hydrogen atom, and the Aharonov-Bohm Phase shift. We use a relativistic magnetic moment model consisting of many superimposed classical hydrogen atoms interacting through the Darwin Lagrangian with an external charge but not with each other. The analysis of Solem regarding the strange polarization of the classical hydrogen atom is seen to give a fundamentally different mechanism for the electric field of the passing charge to change the magnetic moment. The changing magnetic moment leads to an electric force back at the point charge which i)is second order in 1/c, ii)depends upon the magnetic dipole moment, changing sign with the dipole moment, iii)is odd in the charge q of the passing charge, and iv)reverses sign for charges passing on opposite sides of the magnetic moment. We suggest that a realistic multi-particle magnetic moment involves a changing magnetic moment which keeps the electromagnetic field momentum constant. This means also that the magnetic moment does not allow a significant shift in its internal center of energy. This criterion also implies that the Lorentz forces on the charged particle and on the point charge are equal and opposite and that the center of energy of each moves according to Newton's second law where the force is exactly the Lorentz force. Finally, we note that the results and suggestion given here are precisely what are needed to explain both the Aharonov-Bohm phase shift and the Aharonov-Casher phase shift as arising from classical electromagnetic forces.

Timothy H. Boyer
2001-07-04

331

Path integral treatment of two- and three-dimensional delta-function potentials and application to spin-1/2 Aharonov-Bohm problem

  HEP - Theory (arXiv)

Summary: Delta-function potentials in two- and three-dimensional quantum mechanics are analyzed by the incorporation of the self-adjoint extension method to the path integral formalism. The energy-dependent Green functions for free particle plus delta-function potential systems are explicitly calculated. Also the energy-dependent Green function for the spin-1/2 Aharonov-Bohm problem is evaluated. It is found that the only one special value of the self-adjoint extension parameter gives a well-defined and non-trivial time-dependent propagator. This special value corresponds to the viewpoint of the spin-1/2 Aharonov-Bohm problem when the delta-function is treated as a limit of the infinitesimal radius.

D. K. Park
1994-05-04

332

He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation

  HEP - Theory (arXiv)

Summary: In this contribution, we discuss the He-McKellar-Wilkens effect and the Scalar Aharonov-Bohm effect for neutral particles based on the Lorentz symmetry violation background, by showing that the background of the Lorentz symmetry violation yields abelian quantum phases for a neutral particle. We also study the nonrelativistic bound states for a neutral particle interacting with a Coulomb-like potential based on the Lorentz symmetry violation background given by a fixed vector field parallel to the radial direction.

K. Bakke; E. O. Silva; H. Belich
2012-08-08

333

A pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential

  Quantum Physics (arXiv)

Summary: We consider the problem of self-adjoint extension of Hamilton operators for charged quantum particles in the pure Aharonov-Bohm potential (infinitely thin solenoid). We present a pragmatic approach to the problem based on the orthogonalization of the radial solutions for different quantum numbers. Then we discuss a model of a scalar particle with a magnetic moment which allows to explain why the self-adjoint extension contains arbitrary parameters and give a physical interpretation.

Juergen Audretsch; Ulf Jasper; Vladimir D. Skarzhinsky
1995-03-07

334

The Spin Interaction of a Dirac Particle in an Aharonov-Bohm Potential in First Order Scattering

  HEP - Theory (arXiv)

Summary: For a Dirac particle in an Aharonov-Bohm (AB) potential, it is shown that the spin interaction (SI) operator which governs the transitions in the spin sector of the first order S-matrix is related to one of the generators of rotation in the spin space of the particle. This operator, which is given by the projection of the spin operator $\\mathbf{\\Sigma}$ along the direction of the total momentum of the system, and the two operators constructed from the projections of the $\\mathbf{\\Sigma}$ operator along the momentum transfer and the z-directions close the SU(2) algebra.It is suggested, then, that these two directions of the total momentum and the momentum transfer form some sort of natural intrinsic directions in terms of which the spin dynamics of the scattering process at first order can be formulated conveniently. A formulation and an interpretation of the conservation of helicity at first order using the spin projection operators along these directions is presented .

A. Albeed; M. S. Shikakhwa
2007-11-13

335

Flux-dependent occupations and occupation difference in geometrically symmetric and energy degenerate double-dot Aharonov-Bohm interferometers

  Quantum Physics (arXiv)

Summary: We study the steady-state characteristics and the transient behavior of the nonequilibrium double-dot Aharonov-Bohm interferometer using analytical tools and numerical simulations. Our simple setup includes noninteracting degenerate quantum dots that are coupled to two biased metallic leads at the same strength. A magnetic flux $\\Phi$ is piercing the setup perpendicularly. As we tune the degenerate dots energies away from the symmetric point we observe four nontrivial magnetic flux control effects: (i) flux dependency of the dots occupation, (ii) magnetic flux induced occupation difference between the dots, at degeneracy, (iii) the effect of "phase-localization" of the dots coherence holds only at the symmetric point, while in general both real and imaginary parts of the coherence are nonzero, and (iv) coherent evolution survives even when the dephasing strength, introduced into our model using B\\"uttiker probe, is large and comparable to the dots energies and the bias voltage. Moreover, not only finite dephasing strength does not destroy the coherence features, it can provide new type of coherent oscillations. These four phenomena take place when the dots energies are gated, to be positioned away from the symmetric point, demonstrating that the combination of bias voltage, magnetic flux and gating field, can provide delicate controllability over the occupation of each of the quantum dots, and their coherence.

Salil Bedkihal; Malay Bandyopadhyay; Dvira Segal
2012-10-25

336

Effect of magnetic flux and of electron momentum on the transmission amplitude in the Aharonov-Bohm ring

  Quantum Physics (arXiv)

Summary: A characterization of the two-terminal open-ring Aharonov-Bohm interferometer is made by analyzing the phase space plots in the complex transmission amplitude plane. Two types of plots are considered: type I plot which uses the magnetic flux as the variable parameter and type II plot which uses the electron momentum as the variable parameter. In type I plot, the trajectory closes upon itself only when the ratio $R$ of the arm lengths (of the interferometer) is a rational fraction, the shape and the type of the generated flower-like pattern is sensitive to the electron momentum. For momenta corresponding to discrete eigenstates of the perfect ring (i.e. the ring without the leads), the trajectory passes through the origin a certain fixed number of times before closing upon itself, whereas for arbitrary momenta it never passes through the origin. Although the transmission coefficient is periodic in the flux with the elementary flux quantum as the basic period, the phenomenon of electron transmission is shown not to be so when analyzed via the present technique. The periodicity is seen to spread over several flux units whenever $R$ is a rational fraction whereas there is absolutely no periodicity present when $R$ is an irrational number. In type II plot, closed trajectories passing through the origin a number of times are seen for $R$ being a rational fraction. The case R=1 (i.e. a symmetric ring) with zero flux is rather pathological--it presents a closed loop surrounding the origin. For irrational $R$ values, the trajectories never close.

M. V. Amaresh Kumar; Debendranath Sahoo
2005-06-25

337

Single-Particle Density of States for the Aharonov-Bohm Potential and Instability of Matter with Anomalous Magnetic Moment in 2+1 Dimensions

  HEP - Theory (arXiv)

Summary: In the nonrelativistic case we find that whenever the relation $mc^2/e^2 2$ (note that $g_m=2.00232$ for the electron), then the matter is unstable against formation of the flux $\\al$. The result persists down to $g_m=2$ provided the Aharonov-Bohm potential is supplemented with a short range attractive potential. We also show that whenever a bound state is present in the spectrum it is always accompanied by a resonance with the energy proportional to the absolute value of the binding energy. is considered. For the Klein-Gordon equation with the Pauli coupling which exists in (2+1) dimensions without any reference to a spin the matter is again unstable for $g_m>2$. The results are obtained by calculating the change of the density of states induced by the Aharonov-Bohm potential. The Krein-Friedel formula for this long-ranged potential is shown to be valid when supplemented with zeta function regularization. PACS : 03.65.Bz, 03-70.+k, 03-80.+r, 05.30.Fk

Alexander MOROZ
1994-05-05

338

VOLUME 87, NUMBER 4 P H Y S I C A L R E V I E W L E T T E R S 23 JULY 2001 Nonlinear Aharonov-Bohm Scattering by Optical Vortices

  Physics Websites

Summary: -defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex- metrical framework being directly linked to the wave-front dislocations and geometrical phases [2 with the Aharonov-Bohm effect, allowing one to observe directly the macroscopic aspects of the geo- metrical phases


339

Dynamics and instability of nonlinear Fano resonances in photonic crystals Andrey E. Miroshnichenko and Yuri Kivshar

  Physics Websites

Summary: , including light absorp- tion by atomic systems 3 , the Aharonov-Bohm interferom- eter 4,5 , quantum dots 6Dynamics and instability of nonlinear Fano resonances in photonic crystals Andrey E. Miroshnichenko Received 20 August 2008; published 12 January 2009 We employ an effective discrete model for the study


340

Observability of the scalar Aharonov-Bohm effect inside a 3D Faraday cage with time-varying exterior charges and masses

  CERN Preprints

Summary: In this paper we investigate the scalar Aharonov-Bohm (AB) effect in two of its forms, i.e., its electric form and its gravitational form. The standard form of the electric AB effect involves having particles (such as electrons) move in regions with zero electric field but different electric potentials. When a particle is recombined with itself, it will have a different phase, which can show up as a change in the way the single particle interferes with itself when it is recombined with itself. In the case where one has quasi-static fields and potentials, the particle will invariably encounter fringing fields, which makes the theoretical and experimental status of the electric AB effect much less clear than that of the magnetic (or vector) AB effect. Here we propose using time varying fields outside of a spherical shell, and potentials inside a spherical shell to experimentally test the scalar AB effect. In our proposal a quantum system will always be in a field-free region but subjected to a non-zero time-var...

Chiao, R Y; Sundqvist, K M; Inan, N A; Munoz, G A; Singleton, D A; Kang, B S; Martinez, L A
2014-01-01

341

Real-time dynamics of spin-dependent transport through a double-quantum-dot Aharonov-Bohm interferometer with spin-orbit interaction

  Quantum Physics (arXiv)

Summary: The spin-resolved non-equilibrium real-time electron transport through a double-quantum-dot (DQD) Aharonov-Bohm (AB) interferometer with spin-orbit interaction (SOI) is explored. The SOI and AB interference in the real-time dynamics of spin transport is expressed by effective magnetic fluxes. Analytical formulae for the time-dependent currents, for initially unpolarized spins, are presented. In many cases, there appear spin currents in the electrodes, for which the spins in each electrode are polarized along characteristic directions, pre-determined by the SOI parameters and by the geometry of the system. Special choices of the system parameters yield steady-state currents in which the spins are fully polarized along these characteristic directions. The time required to reach this steady state depends on the couplings of the DQD to the leads. The magnitudes of the currents depend strongly on the SOI-induced effective fluxes. Without the magnetic flux, the spin-polarized current cannot be sustained to the steady states, due to the phase rigidity for this system. For a non-degenerate DQD, transient spin transport can be produced by the sole effects of SOI. We also show that one can extract the spin-resolved currents from measurements of the total charge current.

Matisse Wei-Yuan Tu; Amnon Aharony; Wei-Min Zhang; Ora Entin-Wohlman
2014-10-02

342

The Single-Particle density of States, Bound States, Phase-Shift Flip, and a Resonance in the Presence of an Aharonov-Bohm Potential

  Quantum Physics (arXiv)

Summary: Both the nonrelativistic scattering and the spectrum in the presence of the Aharonov-Bohm potential are analyzed. The single-particle density of states (DOS) for different self-adjoint extensions is calculated. The DOS provides a link between different physical quantities and is a natural starting point for their calculation. The consequences of an asymmetry of the S matrix for the generic self-adjoint extension are examined. I. Introduction II. Impenetrable flux tube and the density of states III. Penetrable flux tube and self-adjoint extensions IV. The S matrix and scattering cross sections V. The Krein-Friedel formula and the resonance VI. Regularization VII. The R --> 0 limit and the interpretation of self-adjoint extensions VIII. Energy calculations IX. The Hall effect in the dilute vortex limit X. Persistent current of free electrons in the plane pierced by a flux tube XI. The 2nd virial coefficient of nonrelativistic interacting anyons XII. Discussion of the results and open questions

Alexander Moroz
1996-02-08

343

Hysteretic method for measuring the flux trapped within the core of a superconducting lead-coated ferromagnetic torus by a linked superconducting tin ring, in a novel Aharonov-Bohm-like effect based on the Feynman path-integral principle

  CERN Preprints

Summary: A novel kind of nonlocal, macroscopic Aharonov-Bohm effect involving two topologically linked superconducting rings made out of two different materials, namely, lead and tin, is suggested for experimental observation, in which the lead ring is a torus containing a core composed of permanently magnetized ferromagnetic material. It is predicted that the remnant fields in a hysteresis loop induced by the application of a magnetic field imposed by a large external pair of Helmholtz coils upon the tin ring, will be asymmetric with respect to the origin of the loop. An appendix based on Feynman's path-integral principle is the basis for these predictions.

Chiao, Raymond
2012-01-01

344

Hysteretic method for measuring the flux trapped within the core of a superconducting lead-coated ferromagnetic torus by a linked superconducting tin ring, in a novel Aharonov-Bohm-like effect based on the Feynman path-integral principle

  Quantum Physics (arXiv)

Summary: A novel kind of nonlocal, macroscopic Aharonov-Bohm effect involving two topologically linked superconducting rings made out of two different materials, namely, lead and tin, is suggested for experimental observation, in which the lead ring is a torus containing a core composed of permanently magnetized ferromagnetic material. It is predicted that the remnant fields in a hysteresis loop induced by the application of a magnetic field imposed by a large external pair of Helmholtz coils upon the tin ring, will be asymmetric with respect to the origin of the loop. An appendix based on Feynman's path-integral principle is the basis for these predictions.

Raymond Chiao
2012-05-28

345

Novel Aharonov-Bohm-like effect: Detectability of the vector potential in a solenoidal configuration with a ferromagnetic core covered by superconducting lead, and surrounded by a thin cylindrical shell of aluminum

  Quantum Physics (arXiv)

Summary: The flux as measured by the Josephson effect in a SQUID-like configuration with a ferromagnetic core inserted into its center, is shown to be sensitive to the vector potential arising from the central ferromagnetic core, even when the core is covered with a superconducting material that prevents any magnetic field lines from ever reaching the perimeter of the SQUID-like configuration. This leads to a macroscopic, Aharonov-Bohm-like effect that is observable in an asymmetric hysteresis loop in the response of the SQUID-like configuration to an externally applied magnetic field.

R. Y. Chiao
2012-06-23

346

Observability of the scalar Aharonov-Bohm effect inside a 3D Faraday cage with time-varying exterior charges and masses

  General Relativity & Quantum Cosmology (arXiv)

Summary: In this paper we investigate the scalar Aharonov-Bohm (AB) effect in two of its forms, i.e., its electric form and its gravitational form. The standard form of the electric AB effect involves having particles (such as electrons) move in regions with zero electric field but different electric potentials. When a particle is recombined with itself, it will have a different phase, which can show up as a change in the way the single particle interferes with itself when it is recombined with itself. In the case where one has quasi-static fields and potentials, the particle will invariably encounter fringing fields, which makes the theoretical and experimental status of the electric AB effect much less clear than that of the magnetic (or vector) AB effect. Here we propose using time varying fields outside of a spherical shell, and potentials inside a spherical shell to experimentally test the scalar AB effect. In our proposal a quantum system will always be in a field-free region but subjected to a non-zero time-varying potentials. Furthermore, our system will not be spatially split and brought back together as in the magnetic AB experiment. Therefore there is no spatial interference and hence no shift in a spatial interference pattern to observe. Rather, there arises purely temporal interference phenomena. As in the magnetic AB experiments, these effects are non-classical. We present two versions of this idea: (i) a Josephson temporal interferometry experiment inside a superconducting spherical shell with a time-varying surface charge; (ii) a two-level atom experiment in which the atomic spectrum acquires FM sidebands when it is placed inside a spherical shell whose exterior mass is sinusoidally varying with time. The former leads to a time-varying internal magnetic field, and the latter leads to a time-varying gravitational redshift.

R. Y. Chiao; X. H. Deng; K. M. Sundqvist; N. A. Inan; G. A. Munoz; D. A. Singleton; B. S. Kang; L. A. Martinez
2014-11-13

347

VOLUME 88, NUMBER 25 P H Y S I C A L R E V I E W L E T T E R S 24 JUNE 2002 Tuning of the Fano Effect through a Quantum Dot in an Aharonov-Bohm Interferometer

  Materials Science Websites

Summary: Effect through a Quantum Dot in an Aharonov-Bohm Interferometer Kensuke Kobayashi, Hisashi Aikawa, Shingo-Bohm interferometer, which is the first convincing demonstration of this effect in mesoscopic systems. With the aid ring is essentially a double- slit interferometer of electrons. In contrast, the QD [14], a small

Katsumoto, Shingo

348

Noncircular semiconductor nanorings of types I and II: Emission kinetics in the excitonic Aharonov-Bohm effect

  Materials Science Websites

Summary: with interesting prop- erties such as crystallization. The approximations used origi- nally allowed for an analytic the action of the vector potential on quantum mechanical particles. The idea behind is quite simple: A charge solution of the ground state and the related persistent current. Later on, a full calculation was carried

Zimmermann, Roland

349

Darwin-Lagrangian Analysis for the Interaction of a Point Charge and a Magnet: Considerations Related to the Controversy Regarding the Aharonov-Bohm and Aharonov-Casher Phase Shifts

  Physics (arXiv)

Summary: The classical electromagnetic interaction of a point charge and a magnet is discussed by first calculating the interaction of point charge with a simple model magnetic moment and then suggesting a multiparticle limit. The Darwin Lagrangian is used to analyze the electromagnetic behavior of the model magnetic moment (composed of two oppositely charged particles of different mass in an initially circular orbit) interacting with a passing point charge. The changing mangetic moment is found to put a force back on a passing charge; this force is of order 1/c^2 and depends upon the magnitude of the magnetic moment. It is suggested that in the limit of a multiparticle magnetic toroid, the electric fields of the passing charge are screened out of the body of the magnet while the magnetic fields penetrate into the magnet. This is consistent with our understanding of the penetration of electromagnetic velocity fields into ohmic conductors. Conservation laws are discussed. The work corresponds to a classical electromagnetic analysis of the interaction which is basic to understanding the controversy over the Aharonov-Bohm and Aharonov-Casher phase shifts and represents a refutation of the suggestions of Aharonov, Pearle, and Vaidman.

Timothy H. Boyer
2005-06-23

350

Time crystal phase in a superconducting ring

  CERN Preprints

Summary: We demonstrate a possible setup to exhibit the spontaneous symmetry breaking of the time translation symmetry. Here we consider a quasi-one-dimensional superconducting ring with a static Zeeman magnetic field applied along the ring and static Aharonov-Bohm magnetic flux penetrating the ring. The superconducting ring with magnetic flux produces a persistent current, whereas the Zeeman split of Fermi energy results in the spatial modulation of the pair potential. We show that these two magnetic fields stabilize the twisted kink crystal (Fulde-Ferrel-Larkin-Ovchinnikov) phase, in which both the phase and amplitude have spatial modulations. In this phase, the time translation symmetry is spontaneously broken.

Yoshii, Ryosuke; Tsuchiya, Shunji; Marmorini, Giacomo; Hayakawa, Hisao; Nitta, Muneto
2014-01-01

351

Time crystal phase in a superconducting ring

  Quantum Physics (arXiv)

Summary: We demonstrate a possible setup to exhibit the spontaneous symmetry breaking of the time translation symmetry. Here we consider a quasi-one-dimensional superconducting ring with a static Zeeman magnetic field applied along the ring and static Aharonov-Bohm magnetic flux penetrating the ring. The superconducting ring with magnetic flux produces a persistent current, whereas the Zeeman split of Fermi energy results in the spatial modulation of the pair potential. We show that these two magnetic fields stabilize the twisted kink crystal (Fulde-Ferrel-Larkin-Ovchinnikov) phase, in which both the phase and amplitude have spatial modulations. In this phase, the time translation symmetry is spontaneously broken.

Ryosuke Yoshii; Satoshi Takada; Shunji Tsuchiya; Giacomo Marmorini; Hisao Hayakawa; Muneto Nitta
2014-04-14

352

J. Phys. III Yance 7 (1997) 1515-1520 JULY 1997, PAGE 1515 Aharonov-Bohm Interference of Holes at Dislocations in

  Computer Technologies and Information Sciences Websites

Summary: and other imperfections PACS.73 40.Kp III-V semiconductor-to-semiconductor contacts, p-n junctions interference of holes in macroscopic semiconductor sample containing an array of straight-line dislocations properties of semiconductor crystals. The latter are mainly affected by the presence of localised (at least m

Boyer, Edmond
1997-01-01

353

The Casimir-Aharonov-Bohm effect?

  HEP - Theory (arXiv)

Summary: The combined effect of the magnetic field background in the form of a singular vortex and the Dirichlet boundary condition at the location of the vortex on the vacuum of quantized scalar field is studied. We find the induced vacuum energy density and current to be periodic functions of the vortex flux and holomorphic functions of the space dimension.

Yu. A. Sitenko; A. Yu. Babansky
1997-10-24

354

The Aharonov Bohm effect unrevealed by

  Physics Websites

Summary: to carbon nanotubes Band structure from -* orbitals Curvature of the tubes not considered in the model as a function of the Flux (n,n) (n,0) #12;Magnetic fields in practice We study 2 semiconducting tubes (14,0) (8,0) r=10.36 Bohr r=5.94 Bohr 2 metallic tubes (8,8) (5,5) r=10.22 Bohr r=6.41 Bohr 1 Double walled (5

Marini, Andrea

355

The Aharonov-Bohm Problem Revisited

  HEP - Theory (arXiv)

Summary: The properties of a nonrelativistic charged particle in two dimensions in the presence of an arbitrary number of nonquantized magnetic fluxes are investigated in free space as well as in a uniform magnetic field. The fluxes are represented mathematically as branch points in one of the complex coordinates. It is found that in order to construct solutions, the fluxes have to be treated in general as dynamical objects dual to the charges. A medium made up of fluxes acts like an anti-magnetic field and tends to expel the charges.

Yoichiro Nambu
1999-06-28

356

Creation of two-dimensional coulomb crystals of ions in oblate Paul traps for quantum simulations

  CERN Preprints

Summary: We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal states of the ions to laser beams propagating along the symmetry axis, we study the effective Ising spin-spin interactions that are mediated via the axial phonons and are less sensitive to ion micromotion. We find that the axial mode frequencies permit the programming of Ising interactions with inverse power law spin-spin couplings that can be tuned from uniform to $r^{-3}$ with DC voltages. Such a trap could allow for interesting new geometrical configurations for quantum simulations on moderately sized systems including frustrated magnetism on triangular lattices or Aharonov-Bohm effects on ion tunneling. The trap also incorporates periodic boundary conditions around loops which could be employed to examine time crystals.

Yoshimura, Bryce; Dadic, Danilo; Campbell, W C; Freericks, J K
2014-01-01

357

Creation of two-dimensional coulomb crystals of ions in oblate Paul traps for quantum simulations

  Quantum Physics (arXiv)

Summary: We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal states of the ions to laser beams propagating along the symmetry axis, we study the effective Ising spin-spin interactions that are mediated via the axial phonons and are less sensitive to ion micromotion. We find that the axial mode frequencies permit the programming of Ising interactions with inverse power law spin-spin couplings that can be tuned from uniform to $r^{-3}$ with DC voltages. Such a trap could allow for interesting new geometrical configurations for quantum simulations on moderately sized systems including frustrated magnetism on triangular lattices or Aharonov-Bohm effects on ion tunneling. The trap also incorporates periodic boundary conditions around loops which could be employed to examine time crystals.

Bryce Yoshimura; Marybeth Stork; Danilo Dadic; W. C. Campbell; J. K. Freericks
2014-06-20

358

Bremsstrahlung of relativistic electrons in the Aharonov-Bohm potential

  HEP - Theory (arXiv)

Summary: We investigate the scattering of an electron by an infinitely thin and infinitely long straight magnetic flux tube in the framework of QED. We discuss the solutions of the Dirac and Maxwell fields in the related external pure AB potential and evaluate matrix elements and differential probabilities for the bremsstrahlung process. The dependence of the resulting cross section on the energy, direction and polarization of the involved particles is analyzed. In the low energy regime a surprising angular asymmetry is found which results from the interaction of the electron's magnetic moment with the magnetic field.

J. Audretsch; Ulf. Jasper; V. D. Skarzhinsky
1997-09-18

359

Spectral Zeta Functions for Spherical Aharonov-Bohm Quantum Bags

  HEP - Theory (arXiv)

Summary: We study the sum $\\ds\\zeta_H(s)=\\sum_j E_j^{-s}$ over the eigenvalues $E_j$ of the Schrdinger equation in a spherical domain with Dirichlet walls, threaded by a line of magnetic flux. Rather than using Green's function techniques, we tackle the mathematically nontrivial problem of finding exact sum rules for the zeros of Bessel functions $J_{\

E. Elizalde; S. Leseduarte; A. Romeo
1992-12-16

360

Induced Current and Aharonov-Bohm Effect in Graphene

  Mathematical Physics (arXiv)

Summary: The effect of vacuum polarization in the field of an infinitesimally thin solenoid at distances much larger than the radius of solenoid is investigated. The induced charge density and induced current are calculated. Though the induced charge density turned out to be zero, the induced current is finite periodical function of the magnetic flux $\\Phi$. The expression for this function is found exactly in a value of the flux. The induced current is equal to zero at the integer values of $\\Phi/\\Phi_0$ as well as at half-integer values of this ratio, where $\\Phi_0=2\\pi\\hbar c/e$ is the elementary magnetic flux. The latter is a consequence of the Furry theorem and periodicity of the induced current with respect to magnetic flux. As an example we consider the graphene in the field of solenoid perpendicular to the plane of a sample.

R. Jackiw; A. I. Milstein; S. -Y. Pi; I. S. Terekhov
2009-07-20

361

The Dynamical Mechanism of the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: In this paper, it is emphasized that the dynamical cause for the A-B effect is the superimposed energy between the magnetic field produced by the moving charges and that in the solenoid, instead of the existence of the vector potential. If such a superposition between the magnetic fields can be eliminated, the A-B effect should not be observed any more. To verify this viewpoint, a new experimental method using a SQUID is suggested in this paper.

R. F. Wang
2007-05-28

362

Mathematical justification of the Aharonov-Bohm hamiltonian

  Mathematics Websites

Summary: , centered at the origin and axis in the z direction, there is a constant magnetic field B = (0, 0, B charge q) outside the solenoid has no contact with its interior, particularly with the magnetic field B. If A is the vector potential generating this magnetic field, that is, B = Ã? A, the usual hamiltonian operator


363

Comment on Macroscopic Test of the Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: In this Comment it is shown that it cannot be argued that in the magnetic AB effect there is no force acting on the particle, i.e., that the observed phase shift is entirely due to nonzero vector potential. In stationary resistive conductors carrying constant currents there are quasistatic surface charges, which generate not only the electric field inside the wire driving the current, but also a static electric field outside it. These external static electric fields have nothing to do with Boyer's force picture and with his result for the existence of a time delay.

Tomislav Ivezic
2014-06-04

364

Induced current and Aharonov-Bohm effect in graphene

  MIT - DSpace

Summary: The effect of vacuum polarization in the field of an infinitesimally thin solenoid at distances much larger than the radius of solenoid is investigated. The induced charge density and induced current are calculated. Though ...

Jackiw, Roman

365

Semifluxon degeneracy choreography in Aharonov-Bohm billiards

  Quantum Physics (arXiv)

Summary: Every energy level of a charged quantum particle confined in a region threaded by a magnetic flux line with quantum flux one-half must be degenerate for some position of the semifluxon within the boundary B. This is illustrated by computations for which B is a circle and a conformal transformation of a circle without symmetry. As the shape of B is varied, two degeneracies between the same pair of levels can collide and annihilate. Degeneracy of three levels requires three shape parameters, or the positions of three semifluxons; degeneracy of N levels can be generated by int{N(N+1)/4} semifluxons. The force on the semifluxon is derived.

M V Berry; S Popescu
2010-01-13

366

Spinless Aharonov-Bohm problem in curved space

  Mathematical Physics (arXiv)

Summary: The dynamics of a spinless charged particle under the influence of a magnetic field in curved space is considered. We chose the surface as being a cone defined by a line element in polar coordinates. The geometry of this line element establishes that the motion of the particle can occur on the surface of a cone or an anti-cone. As a consequence of the nontrivial topology of the cone and also because of two-dimensional confinement, the geometric potential should be taken into account. At first, we establish the conditions for the particle describing a circular path in such a context. Because of the presence of the geometric potential, which contains a singular term, we use the self-adjoint extension method in order to describe the dynamics in all space including the singularity. Expressions are obtained for the bound state energies and wave functions.

Edilberto O. Silva; Sérgio C. Ulhoa; Fabiano M. Andrade; Cleverson Filgueiras; R. G. G. Amorin
2015-02-25

367

Exciton Aharonov-Bohm Effect in Embedded Nanostructures

  Materials Science Websites

Summary: within the envelope function formalism and applying the effective mass approximation. Since the nanoring is embedded in a narrow quantum well, the single sublevel approxima- tion holds. In-plane cylindrical symmetry wide Gao.51Ino.49P quantum well sandwiched between AlAs barriers. Due to the different lattice

Zimmermann, Roland

368

Aharonov-Bohm Problem for Spin-One

  HEP - Theory (arXiv)

Summary: The basic AB problem is to determine how an unshielded tube of magnetic flux $\\Phi$ affects arbitrarily long-wavelength charged particles impinging on it. For spin-1 at almost all $\\Phi$ the particles do not penetrate the tube, so the interaction essentially is periodic in $\\Phi$ (AB effect). Below-threshold bound states move freely only along the tube axis, and consequent induced vacuum currents supplement rather than screen $\\Phi$. For a pure magnetic interaction the tube must be broader than the particle Compton wavelength, i.e., only the nonrelativistic spin-1 AB problem exists.

M. L. Horner; Alfred S. Goldhaber
1997-02-12

369

Simulating the Aharonov-Bohm Effect Frank Rioux

  Chemistry Websites

Summary: by the vector potential, A, in regions in which both the magnetic field B, and electric field E are zero being zero in the region through which the particle passes. Schematic of double-slit experiment in which

Rioux, Frank

370

Field Asymmetry of mesoscopic rectification In Aharonov Bohm Rings

  Materials Science Websites

Summary: observed by R.Webb et al. 1988 N(E) even function of field Same symmetry expected for G2 . #12;Role dis (r ) = (int /v)n (r) geometrical int G2: G2 AS = int ( e2 / h Zumbühl et al. 06 Small rings g R=10M VHarm2Vacf~33Hz Si+ e GaAsGaAlAs Lockin

Fominov, Yakov

371

SPECTRAL PROPERTIES OF PERTURBED MULTIVORTEX AHARONOV-BOHM HAMILTONIANS

  Mathematics Websites

Summary: . This fact is used to prove the Lieb-Thirring in- equality as well as CLR-type eigenvalue estimates for H (d) 0 9 5. Abstract CLR eigenvalue estimates and semigroup domination 13 6. Lieb-Thirring inequality for H (d) 0 - V 14 7. Hardy-type inequalities 16 8. CLR-type estimates and large coupling constant


372

Aharonov-Bohm effect in curved space and cosmic strings

  Mathematical Physics (arXiv)

Summary: A quantum theory is developed for the scattering of a nonrelativistic particle in the field of a cosmic string regarded as a combination of a magnetic and gravitational strings. Allowance is made for the effects due to the finite transverse dimensions of the string under fairly general assumptions about the distribution of the magnetic field and spatial curvature in the string. It is shown that in a definite range of angles the differential cross section at all absolute values of the wave vector of the incident particle depends strongly on the magnetic flux of the string.

Yurii Sitenko; Alexei Mishchenko
1999-01-18

373

Detecting Noncommutative Phase Space by Aharonov-Bohm Effect

  Quantum Physics (arXiv)

Summary: Noncommutative phase space plays an essential role in particle physics and quantum gravity at the Planck scale. However, direct experimental evidence or observation to demonstrate the existence of noncommutative phase space is still lacking.We study a quantum ring in noncommutative phase space based on the Seiberg-Witten map and give the effective magnetic potential and field coming from the noncommutative phase space, which induces the persistent current in the ring. We introduce two variables as two signatures to detect the noncommutative phase space and propose an experimental scheme to detect the noncommutative phase space as long as we measure the persistent current and the external magnetic flux.

Shi-Dong Liang; Haoqi Li; Guang-Yao Huang
2015-02-02

374

Massive 3+1 Aharonov-Bohm fermions in an MIT cylinder

  HEP - Theory (arXiv)

Summary: We study the effect of a background flux string on the vacuum energy of massive Dirac fermions in 3+1 dimensions confined to a finite spatial region through MIT boundary conditions. We treat two admissible self-adjoint extensions of the Hamiltonian. The external sector is also studied and unambiguous results for the Casimir energy of massive fermions in the whole space are obtained.

Marcelo De Francia; Klaus Kirsten
2001-04-30

375

Anomaly and Thermodynamics for 2D Spinors in the Aharonov--Bohm Gauge Field

  HEP - Theory (arXiv)

Summary: The axial anomaly is computed for Euclidean Dirac fermions on the plane. The dependence upon the self-adjoint extensions of the Dirac operator is investigated and its relevance concerning the second virial coefficient of the anyon gas is discussed.

P. Giacconi; F. Maltoni; R. Soldati
1994-09-19

376

Scaling of Aharonov-Bohm couplings and the dynamical vacuum in gauge theories

  HEP - Theory (arXiv)

Summary: Recent results on the vacuum polarization induced by a thin string of magnetic flux lead us to suggest an analogue of the Copenhagen `flux spaghetti' QCD vacuum as a possible mechanism for avoiding the divergence of perturbative QED, thus permitting consistent completion of the full, nonperturbative theory. The mechanism appears to operate for spinor, but not scalar, QED.

Alfred S. Goldhaber; Hsiang-Nan Li; Rajesh R. Parwani
1994-03-07

377

Dynamics of a classical Hall system driven by a time-dependent Aharonov--Bohm flux

  Mathematical Physics (arXiv)

Summary: We study the dynamics of a classical particle moving in a punctured plane under the influence of a strong homogeneous magnetic field, an electrical background, and driven by a time-dependent singular flux tube through the hole. We exhibit a striking classical (de)localization effect: in the far past the trajectories are spirals around a bound center; the particle moves inward towards the flux tube loosing kinetic energy. After hitting the puncture it becomes ``conducting'': the motion is a cycloid around a center whose drift is outgoing, orthogonal to the electric field, diffusive, and without energy loss.

J. Asch; P. Stovicek
2006-09-13

378

String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice

  HEP - Lattice (arXiv)

Summary: The partition function of the $4D$ lattice Abelian Higgs theory is represented as the sum over world sheets of Nielsen--Olesen strings. The creation and annihilation operators of the strings are constructed. The topological long--range interaction of the strings and charged particles is shown to exist; it is proportional to the linking number of the string world sheet and particle world trajectory.

M. I. Polikarpov; U. -J. Wiese; M. A. Zubkov
1993-03-26

379

Transport, Aharonov-Bohm, and Topological Effects in Graphene Molecular Junctions and Graphene Nanorings

  CERN Preprints

Summary: The unique ultra-relativistic, massless, nature of electron states in two-dimensional extended graphene sheets, brought about by the honeycomb lattice arrangement of carbon atoms in two-dimensions, provides ingress to explorations of fundamental physical phenomena in graphene nanostructures. Here we explore the emergence of new behavior of electrons in atomically precise segmented graphene nanoribbons (GNRs) and graphene rings with the use of tight-binding calculations, non-equilibrium Green's function transport theory, and a newly developed Dirac continuum model that absorbs the valence-to-conductance energy gaps as position-dependent masses, including topological-in-origin mass-barriers at the contacts between segments. Through transport investigations in variable-width segmented GNRs with armchair, zigzag, and mixed edge terminations we uncover development of new Fabry-Perot-like interference patterns in segmented GNRs, a crossover from the ultra-relativistic massless regime, characteristic of extended gra...

Yannouleas, Constantine; Landman, Uzi
2015-01-01

380

Semiclassical Explanation of the Matteucci-Pozzi and Aharonov-Bohm Phase Shifts

  Quantum Physics (arXiv)

Summary: Classical electromagnetic forces can account for the experimentally observed phase shifts seen in an electron interference pattern when a line of electric dipoles or a line of magnetic dipoles (a solenoid) is placed between the electron beams forming the interference pattern.

Timothy H. Boyer
2001-07-19

381

Random Aharonov-Bohm vortices and some exact families of integrals: Part III

  Mathematical Physics (arXiv)

Summary: As a sequel to [1] and [2], I present some recent progress on Bessel integrals $\\int_0^{\\infty}{\\rmd u}\\; uK_0(u)^{n}$, $\\int_0^{\\infty}{\\rmd u}\\; u^{3}K_0(u)^{n}$, ... where the power of the integration variable is odd and where $n$, the Bessel weight, is a positive integer. Some of these integrals for weights n=3 and n=4 are known to be intimately related to the zeta numbers zeta(2) and zeta(3). Starting from a Feynman diagram inspired representation in terms of n dimensional multiple integrals on an infinite domain, one shows how to partially integrate to n-2 dimensional multiple integrals on a finite domain. In this process the Bessel integrals are shown to be periods. Interestingly enough, these "reduced" multiple integrals can be considered in parallel with some simple integral representations of zeta numbers. One also generalizes the construction of [2] on a particular sum of double nested Bessel integrals to a whole family of double nested integrals. Finally a strong PSLQ numerical evidence is shown to support a surprisingly simple expression of zeta(5) as a linear combination with rational coefficients of Bessel integrals of weight n= 8.

Stephane Ouvry
2014-01-30

382

Coherent and semiclassical states in magnetic field in the presence of the Aharonov-Bohm solenoid

  Quantum Physics (arXiv)

Summary: A new approach to constructing coherent states (CS) and semiclassical states (SS) in magnetic-solenoid field is proposed. The main idea is based on the fact that the AB solenoid breaks the translational symmetry in the xy-plane, this has a topological effect such that there appear two types of trajectories which embrace and do not embrace the solenoid. Due to this fact, one has to construct two different kinds of CS/SS, which correspond to such trajectories in the semiclassical limit. Following this idea, we construct CS in two steps, first the instantaneous CS (ICS) and the time dependent CS/SS as an evolution of the ICS. The construction is realized for nonrelativistic and relativistic spinning particles both in (2+1)- and (3+1)- dimensions and gives a non-trivial example of SS/CS for systems with a nonquadratic Hamiltonian. It is stressed that CS depending on their parameters (quantum numbers) describe both pure quantum and semiclassical states. An analysis is represented that classifies parameters of the CS in such respect. Such a classification is used for the semiclassical decompositions of various physical quantities.

V. G. Bagrov; S. P. Gavrilov; D. M. Gitman; D. P. Meira Filho
2011-08-25

383

Random Aharonov-Bohm vortices and some exact families of integrals: Part II

  HEP - Theory (arXiv)

Summary: At 6th order in perturbation theory, the random magnetic impurity problem at second order in impurity density narrows down to the evaluation of a single Feynman diagram with maximal impurity line crossing. This diagram can be rewritten as a sum of ordinary integrals and nested double integrals of products of the modified Bessel functions $K_{\

Stefan Mashkevich; Stéphane Ouvry
2008-02-22

384

Aharonov-Bohm effect and geometric phase And all I wanted was a complex carrot.

  Physics Websites

Summary: An interesting and far reaching aspect of the electrodynamics of particle-field interac- tions involves the electromagnetic potentials ! and A and their role in the quantum mech- anics of charged particles. In the last ! and A are nonzero, whereas E and B are zero. The fields and potentials are taken to be static. The only time

Johannesson, Henrik

385

Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square

  Physics Websites

Summary: of the pole and consider the magnetic potential with flux = 1/2 : AX (x, y) = (AX 1 (x, y), AX 2 (x, y)) = 1 operator is -AX := (Dx - AX 1 )2 + (Dy - AX 2 )2 , (1.2) with Dx = -ix and Dy = -iy. This operator - y0|2 eiX , and where is the complex conjugation operator u = ¯u. Then -AX preserves KX

Paris-Sud XI, Université de

386

Comment on "On the Electric Charge Quantization from the Aharonov-Bohm Potential"

  Quantum Physics (arXiv)

Summary: In the paper quant-ph/0503212, Barone and Halayel-Neto (BH) claim that charge quantization in quantum mechanics can be proven without the need for the existence of magnetic monopoles. In this paper it is argued that their claim is untrue.

R. MacKenzie; H. Paquette; J. Pinel; P. -L. Roussel
2005-04-07

387

Physica E 34 (2006) 534537 AharonovBohm-type effects in different arrays of antidots

  Physics Websites

Summary: KatoÃ?, Hiroyasu Tanaka, Akira Endo, Shingo Katsumoto, Yasuhiro Iye Institute for Solid State Physics.03.028 Ã?Corresponding author. E-mail address: masanori@issp.u-tokyo.ac.jp (M. Kato). #12;the carrier density over

Iye, Yasuhiro
2006-01-01

388

Impurity effects on the Aharonov-Bohm optical signatures of neutral quantum-ring magnetoexcitons

  Physics Websites

Summary: on the photoluminescence (PL) emission of polarized magnetoex- citons. We consider systems where both the electron and hole and nonzero PL emission appears for a wide magnetic field range even at zero temperature. For higher temperatures, impurity-induced anticrossings on the excitonic spectrum lead to unexpected peaks and valleys

Dias, Luis Gregório

389

Generalized Aharonov-Bohm effect and topological states in graphene nanorings

  Physics Websites

Summary: : any two of the three 2x2 Pauli matrices scalar field / position-dependent mass m ring in the reczag trigonal flake #12;Relativistic quantum-field-theory Lagrangian 1D Generalized Dirac equation a and b: any two of the three 2x2 Pauli matrices scalar field / position-dependent mass m

Yannouleas, Constantine

390

Self-adjoint Schrodinger and Dirac operators with Aharonov-Bohm and magnetic-solenoid fields

  Quantum Physics (arXiv)

Summary: We study all the s.a. Schrodinger and Dirac operators (Hamiltonians) both with pure AB field and with magnetic-solenoid field. Then, we perform a complete spectral analysis for these operators, which includes finding spectra and spectral decompositions, or inversion formulas. In constructing the Hamiltonians and performing their spectral analysis, we respectively follow the von Neumann theory of s.a. extensions of symmetric differential operators and the Krein method of guiding functionals. The examples of similar consideration are given by us in arXiv:0903.5277, where a nonrelativistic particle in the Calogero potential field is considered and in Theor. Math. Phys. 150 (1) (2007) 34, where a Dirac particle in the Coulomb field of arbitrary charge is considered. However, due to peculiarities of the three-dimensional problems under consideration, we elaborated a generalization of the approach used in the study of the Dirac particle.

D. M. Gitman; A. Smirnov; I. V. Tyutin; B. L. Voronov
2009-11-04

391

Scattering and self-adjoint extensions of the Aharonov-Bohm hamiltonian

  Mathematical Physics (arXiv)

Summary: We consider the hamiltonian operator associated with planar sec- tions of infinitely long cylindrical solenoids and with a homogeneous magnetic field in their interior. First, in the Sobolev space $\\mathcal H^2$, we characterize all generalized boundary conditions on the solenoid bor- der compatible with quantum mechanics, i.e., the boundary conditions so that the corresponding hamiltonian operators are self-adjoint. Then we study and compare the scattering of the most usual boundary con- ditions, that is, Dirichlet, Neumann and Robin.

Cesar R. de Oliveira; Marciano Pereira
2010-08-17

392

On the feasibility of detecting an Aharonov-Bohm phase shift in neutral matter

  Physics Websites

Summary: and Richard Packard Department of Physics, University of California, Berkeley, California 94720, USA E-mail: ysato@berkeley.edu Abstract. It has been predicted that, in the presence of combined radial electric with the opposite charges in the induced electric dipole moment of the neutral 4 He atoms. We briefly review

Packard, Richard E.

393

Foundations of Physics, Vol. 18, No. 7, 1988 The Aharonov-Bohm Effect: Still a

  Physics Websites

Summary: -slit interference. The second factor is the well-known "sinc" function, which gives the intensity transmitted. In the AB experiment the wave in question is a quantum wave, and the phase shift is caused by a magnetic shift) is well known to be (sinkax~ 2 Io(x) oc [1 + cos kbx] \\~ax /t (1) Here k is the incident wave

Semon, Mark D.

394

Levinson's theorem and higher degree traces for Aharonov-Bohm operators

  Mathematics Websites

Summary: Camille Jor- dan, 43 blvd du 11 novembre 1918, 69622 Villeurbanne Cedex, France; E-mail: kellendonk Camille Jordan, 43 blvd du 11 novembre 1918, 69622 Villeurbanne Cedex, France Abstract We study Levinson


395

Coulomb blockade double-dot Aharonov-Bohm interferometer: harmonic decomposition of the interference pattern

  Quantum Physics (arXiv)

Summary: For the solid state double-dot interferometer, the phase shifted interference pattern induced by the interplay of inter-dot Coulomb correlation and multiple reflections is analyzed by harmonic decomposition. Unexpected result is uncovered, and is discussed in connection with the which-path detection and electron loss.

Feng Li; HuJun Jiao; Hui Wang; JunYan Luo; Xin-Qi Li
2009-06-19

396

String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice

  CERN Preprints

Summary: The partition function of the $4D$ lattice Abelian Higgs theory is represented as the sum over world sheets of Nielsen--Olesen strings. The creation and annihilation operators of the strings are constructed. The topological long--range interaction of the strings and charged particles is shown to exist; it is proportional to the linking number of the string world sheet and particle world trajectory.

Polikarpov, M I; Zubkov, M A
1993-01-01

397

The Aharonov-Bohm effect: Mathematical Aspects of the Quantum Flow

  Mathematical Physics (arXiv)

Summary: This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the first approach, the quantum flow is studied via a one-parameter family of complex potentials. In the second approach, the qualitative theory of planar differential equations is used to obtain a one-parameter family of Hamiltonian functions which determine the phase portraits of the systems.

Luis Fernando Mello; Yuri Cândido Ribeiro
2007-01-08

398

Can the Aharonov-Bohm effect be used to detect or refute superseparability?

  Quantum Physics (arXiv)

Summary: The existence of inequivalent irreducible unitary representations of the CCR suggests that two identical charged bosons may, under suitable conditions, be unable to interact with each other even though their wave functions overlap considerably in space at a fixed time. An experiment is proposed to test this possibility.

R N Sen
2010-02-02

399

Aharonov-Bohm effect and nucleon-nucleon phase shifts on the lattice

  Nuclear Theory (arXiv)

Summary: We propose a method for the lattice QCD computation of nucleon-nucleon low-energy interactions. It consists in simulating QCD in the background of a ''electromagnetic" field whose potential is non-vanishing, but whose field strength is zero. By tuning the background field, phase-shifts at any (but small) momenta can be determined by measuring the shift of the ground state energy. Lattice sizes as small as 5 Fermi can be sufficient for the calculation of phase shifts up to momenta of order of $m_{\\pi}/2$.

Paulo F. Bedaque
2004-02-14

400

AharonovBohm Effect in Resonances of Magnetic Schrodinger Operators with

  Mathematics Websites

Summary: Aharonov­Bohm Effect in Resonances of Magnetic Schr¨odinger Operators with Potentials with Supports@ecu.edu Hideo Tamura : tamura@math.okayama-u.ac.jp 0 #12;Aharonov­Bohm Effect in Resonances of Magnetic Schr]). In this work we study the AB effect in resonances through scattering by electrostatic and magnetic fields

Alexandrova, Ivana

401

Non-Abelian Aharonov-Bohm Scattering of Spin 1/2 Particles

  HEP - Theory (arXiv)

Summary: We study the low energy regime of the scattering of two fermionic particles carrying isospin 1/2 and interacting through a non-Abelian Chern-Simons field. We calculate the one-loop scattering amplitude for both the nonrelativistic and also for the relativistic theory. In the relativistic case we introduce an intermediate cutoff, separating the regions with low and high loop momenta integration. In this procedure purely relativistic field theory effects as the vacuum polarization and anomalous magnetic moment corrections are automatically incorporated.

M. Gomes; L. C. Malacarne; A. J. da Silva
2000-04-24

402

On the dynamics created by a time--dependent Aharonov-Bohm flux

  Mathematical Physics (arXiv)

Summary: We study the dynamics of classical and quantum particles moving in a punctured plane under the influence of a homogeneous magnetic field and driven by a time-dependent singular flux tube through the hole.

J. Asch; P. Stovicek
2007-10-17

403

Interaction between a moving electron and magnetic flux in Aharonov-Bohm effect

  Quantum Physics (arXiv)

Summary: The back-action exerted by the moving electron on the magnetic flux in the A-B effect is analyzed. It is emphasized that a reasonable interpretation on the A-B effect should be consistent with the uncertain principle. If the back-action on the magnetic flux is reduced to zero, the A-B effect should not be observed, even through the vector potential still exists in space. To verify this interpretation, a new experimental scheme is proposed in this paper.

Wang Rui-Feng
2013-12-21

404

Dynamics of a classical Hall system driven by a time-dependent AharonovBohm flux

  Mathematics Websites

Summary: ). Suppose that a magnetic flux line with time varying strength pierces the origin and further the presenceDynamics of a classical Hall system driven by a time-dependent Aharonov­Bohm flux J. Asch , P. Stov the influence of a strong homogeneous magnetic field, an electrical background, and driven by a time


405

Dynamics of a classical Hall system driven by a time-dependent Aharonov-Bohm flux

  Mathematics Websites

Summary: . Suppose that a magnetic flux line with time varying strength pierces the origin and further the presence field is zero. The total magnetic flux through a circle of radius R is BR2 - if it encircles the flux with the cyclotron frequency = eB m and radius R such that the magnetic flux through the Landau circle satisfies e /2

Asch, Joachim

406

Pauli Approximations to the Self-Adjoint Extensions of the Aharonov-Bohm Hamiltonian

  Mathematics Websites

Summary: . a Department of Mathematical Physics, University College Dublin (National University of Ireland, Dublin), Belfield, Dublin 4, Ireland. b e-mail: james.borg@um.edu.mt c on leave of absence from Department of Theoretical Physics, Dublin Institute for Advanced Studies. #12;Pauli Approximations to the Aharonov


407

Quantum mechanical complementarity probed in a closed-loop AharonovBohm

  Physics Websites

Summary: the back- action in understanding quantum mechanical complementarity. The previous electronic `which, with a source and a drain of electrons weakly coupled to the open ring. In one path of the interferometer geometry, with multiple grounded drains (bases) along the paths of the electron, assured that only two

Heiblum, Mordehai "Moty"

408

Comment on "Aharonov-Casher and Scalar Aharonov-Bohm Topological Effects"

  Quantum Physics (arXiv)

Summary: In this Comment we point out (i) that the Hamiltonian, Eq. (17) in the Letter(Phys. Rev. Lett. 108, 070405 (2012)), is not a relativistic Hamiltonian, (ii) then that the conditions in the Letter are irrelevant for a topological AC and SAB effects, and (iii) conclusively that the non-relativistic Hamiltonian employed by Peshkin and Lipkin (Phys. Rev. Lett. 74, 2847 (1995)) has the same $U(1)_{mm}$ gauge structure for a fixed spin and then is not wrong, but their incorrect interpretation of the spin autocorrelations led to the incorrect conclusion.

Taeseung Choi; Sam Young Cho
2013-11-16

409

Aharonov-Bohm Oscillations in the Presence of Strong Spin-Orbit Interactions Boris Grbic,1

  Physics Websites

Summary: Dirac Points Tunable Lattice Daniel Greif, Leticia Tarruell, Thomas Uehlinger, Gregor Jotzu and Tilman - Combination of various lattice geometries with interactions - Interferometric detection of Berry phase

Ihn, Thomas

410

Consistency of the Born Approximation for the spin-1/2 Aharonov-Bohm Scattering

  HEP - Theory (arXiv)

Summary: The relativistic scattering of a spin-1/2 particle from an infinitely long solenoid is considered in the framework of covariant perturbation theory. The first order term agrees with the corresponding term in the series expansion of the exact amplitude, and second order term vanishes, thus proving that Born approximation is consistent.

M. Boz; N. K. Pak
2000-04-24

411

Aharonov-Bohm E ect and Time-Dependent Inverse Scattering Ricardo Weder y

  Mathematics Websites

Summary: , it reduces to a problem in R 2 . We #12;rst consider an unshielded magnetic #12;eld that has a singular part. We then consider the case where the singular part of the magnetic #12;eld is shielded inside a cylinder whose transversal section is compact set K, and there is also a regular magnetic #12;eld


412

"Level Curvature" Distribution for Diffusive Aharonov-Bohm Systems: analytical results

  Nonlinear Sciences (arXiv)

Summary: We calculate analytically the distributions of "level curvatures" (LC) (the second derivatives of eigenvalues with respect to a magnetic flux) for a particle moving in a white-noise random potential. We find that the Zakrzewski-Delande conjecture is still valid even if the lowest weak localization corrections are taken into account. The ratio of mean level curvature modulus to mean dissipative conductance is proved to be universal and equal to $2\\pi$ in agreement with available numerical data.

Yan V. Fyodorov; H-J. Sommers
1994-12-24

413

AHARONOV-BOHM-TYPE EFFECTS IN ANTIDOT ARRAYS AND THEIR DECOHERENCE

  Physics Websites

Summary: not only in the diffusive metallic transport regime but also in the ballistic (or semi-ballistic) transport of a ring-shaped sample at low temperatures as a function of external magnetic field. It is customary

Iye, Yasuhiro

414

PRB/LA13144B Aharonov-Bohm Exciton Absorption Splitting in Chiral Specific

  Materials Science Websites

Summary: of the E11 optical excitonic transitions. The parameters of both the dark-bright exciton energy splitting of energy bands upon application of an external magnetic field oriented parallel to the tube axis are very complicated with 16 split states of the bright and dark excitons [5]. The application

Maruyama, Shigeo

415

Aharonov-Bohm oscillations in the exciton luminescence from a semiconductor nanoring

  Computer Technologies and Information Sciences Websites

Summary: Department of Physics, University of Utah, Salt Lake City, Utah 84112, U.S.A. Abstract Magnetoluminescence by a change in the external parameters (like magnetic #12;eld). Recently, further progress in self to a magnetic #12;eld perpendicular to the plane of the ring. The charac- teristic scale of the magnetic #12;eld

Chemnitz, Technische Universität

416

Observation of an enhanced AharonovBohm effect K. Kobayashia,*, H. Aikawaa

  Materials Science Websites

Summary: that the AB amplitude relative to the total signal becomes much more enhanced in a non-local four-terminal con®guration than that obtained in the conventional four-terminal con®guration and the AB phase can be continuously on the AB effect have been conducted almost exclusively in two-terminal or conventional four-terminal setup

Katsumoto, Shingo

417

PHYSICAL REVIEW B 90, 045415 (2014) Terahertz transverse-electric-and transverse-magnetic-polarized waves localized on

  Materials Science Websites

Summary: an unconventional quantum Hall effect [1]; the possibility of testing the Klein paradox [2]; the Aharonov-Bohm-magnetic-polarized waves localized on graphene in photonic crystals Yu. O. Averkov* and V. M. Yakovenko A.Ya. Usikov in the same frequency range along a graphene layer inserted in a photonic crystal. In addition, we studied

Nori, Franco
2014-01-01

418

Engineering Fano resonances in discrete arrays Andrey E. Miroshnichenko and Yuri S. Kivshar

  Physics Websites

Summary: such as the Aharonov-Bohm interferometer 15 and the Mach-Zehnder interferometer 16 . One of the simplest models states. This simple system can be used to model discrete networks of coupled defect modes in photonic for realizing these structures are based on a straight photonic-crystal waveguide with a number of side defect


419

Nonlinear Fano resonance and bistable wave transmission Andrey E. Miroshnichenko,1

  Physics Websites

Summary: systems 1 , Aharonov-Bohm interferom- eters 2,3 , and quantum dots 4­6 , resonant light propaga- tion-dependent bistable resonant transmission or reflection. We identify these effects as the nonlinear Fano resonance through photonic-crystal waveguides 7­12 , and phonon scattering by time-periodic scattering potentials 13

Flach, Sergej

420

SEMINAIRE MAGNETISME et SUPRACONDUCTIVITE Orsay -Palaiseau -Saclay

  Biology and Medicine Websites

Summary: . of Radio-Engineering and Electronics RAS, Mokhovaya 11-7, Moscow 125009, Russia Dirac fermions in graphite We report the results on interlayer tunneling in graphite mesas in strong magnetic fields up to 55 T and also the results on Aharonov-Bohm effect in thin graphite single crystals with columnar defects

Paris-Sud 11, Université de

421

PUBLISHED ONLINE: 13 DECEMBER 2009 | DOI: 10.1038/NMAT2609 AharonovBohm interference in topological

  Materials Science Websites

Summary: in topological insulator nanoribbons Hailin Peng1,2 *, Keji Lai3,4 *, Desheng Kong1 , Stefan Meister1 , Yulin insulators represent unusual phases of quantum matter with an insulating bulk gap and gapless edges or surface states. The two-dimensional topological insulator phase was predicted in HgTe quantum wells1

Cui, Yi

422

Various Abelian Projections of $SU(2)$ Lattice Gluodynamics and Aharonov-Bohm Effect in the Field Theory

  HEP - Lattice (arXiv)

Summary: We show that in general abelian projection of lattice gluodynamics it is not only monopoles but also strings are present. Both these topological excitations may be responsible for the confinement of color. We illustrate our ideas by some explicit results in the Abelian Higgs model with the Villain action.

M. N. Chernodub; M. I. Polikarpov; M. A. Zubkov
1994-01-24

423

Temperature dependence of the Aharonov-Bohm oscillations and the energy spectrum in a single-mode ballistic ring

  Materials Science Websites

Summary: -mode ballistic ring M. Casse´,1,2 Z. D. Kvon,3 G. M. Gusev,4 E. B. Olshanetskii,1,3 L. V. Litvin,3 A. V oscillations in a single mode ballistic ring has been measured. The experimental data is analyzed using to fab- ricate ballistic ring interferometers.2,3 At low temperatures the electron phase coherence

Gusev, Guennady

424

Dephasing by Extremely Dilute Magnetic Impurities Revealed by Aharonov-Bohm Oscillations F. Pierre and Norman O. Birge

  Materials Science Websites

Summary: of mesoscopic Cu rings.Whereas determined from the low-field magnetoresistance saturates below 1 K with their environment. In mesoscopic physics, quantum phase coherence of conduction electrons in disordered metals shaken in 1997 when two different experiments suggested that electrons in mesoscopic metallic wires

Birge, Norman

425

The three-dimensional Dirac-Oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials

  HEP - Theory (arXiv)

Summary: We study the Dirac equation in 3+1 dimensions with non-minimal coupling to isotropic radial three-vector potential and in the presence of static electromagnetic potential. The space component of the electromagnetic potential has angular (non-central) dependence such that the Dirac equation is completely separable in spherical coordinates. We obtain exact solutions for the case where the three-vector potential is linear in the radial coordinate (Dirac-Oscillator) and the time component of the electromagnetic potential vanishes. The relativistic energy spectrum and spinor eigenfunctions are obtained.

A. D. Alhaidari
2005-01-06

426

Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer F. E. Camino, Wei Zhou, and V. J. Goldman

  Materials Science Websites

Summary: . The superperiod is accordingly understood as imposed by the anyonic statistical interaction of Laughlin statistics . Upon execution of a closed loop, both boson and fermions acquire a phase factor of 1, which-Bohm effect. Interference of particles having fractional statistics [1,2], anyons, would contribute

Goldman, Vladimir J.

427

The Aharonov-Bohm e ect for an exciton R. A. Romer 1 and M. E. Raikh 2

  Computer Technologies and Information Sciences Websites

Summary: potential. Correspondingly, the coupling to the ux has the opposite sign for an electron and a hole by a mag- netic ux. For the case when the attraction between electron and hole is short-ranged we get, both the spectral position of the exciton peak in the absorption, and the corresponding oscillator

Chemnitz, Technische Universität

428

PHYSICAL REVIEW B 86, 195403 (2012) Coherent control of double-dot molecules using Aharonov-Bohm magnetic flux

  Physics Websites

Summary: electronic couplings, double- quantum-dot (DQD) systems, which are archetypes of arti- ficial molecules, have by directly coupling the two quantum dots. The tunability of such direct interdot coupling has been Combining an interdot tunnel coupling with a magnetic flux has also been studied theoretically17

Nori, Franco
2012-01-01

429

Short Note Typeset with jpsj2.cls Suppression of Quantum Decoherence in an Aharonov-Bohm Ring

  Materials Science Websites

Summary: between 30 mK and 4.2 K by using a dilution refrigerator and standard lock-in tech- nique, yielding almost.02 Magnetic Field (T) 1.5 1.4 1.3 R14,23(k) -0.02 -0.01 0.00 0.01 0.02 Magnetic Field (T) (a) local (b

Katsumoto, Shingo

430

pss header will be provided by the publisher Exciton Aharonov-Bohm effect and emission kinetics in nanor-

  Materials Science Websites

Summary: -radiative decay. We assume that both the electron and the hole are strongly confined in a narrow quantum well symmetry is supposed. This enables to write the exciton wave function in the envelope function formalism confinement wave functions centered at z = 0 and ua(ra) are radial confinement wave functions centered around

Zimmermann, Roland

431

Interplay of Aharonov-Bohm, chirality, and aspect ratio effects in the axial conductance of a nanotube

  Quantum Physics (arXiv)

Summary: A magnetic flux applied along the axis of a nanotube can counteract the effect of the tube chirality and dramatically affect its conductance, leading to a way to determine the chirality of a nanotube. The effect of the applied flux is strongest in the long tube limit where the conductance is (i) either a sequence of sharp $4e^{2}/h$ height peaks located at integer (in units of the flux quantum) values of the flux (for an armchair tube) or (ii) a periodic sequence of pairs of $2e^{2}/h$ height peaks for a chiral tube, with the spacing determined by the chirality. In the short tube limit the conductance takes on the value that gives the universal conductivity of an undoped graphene sheet, with a small amplitude modulation periodic in the flux.

Eugene B. Kolomeisky; Joseph P. Straley; Hussain Zaidi
2012-01-28

432

PUBLISHED ONLINE: 10 JULY 2011 | DOI: 10.1038/NPHYS2034 AharonovBohm interferences from local

  Materials Science Websites

Summary: to attract interest for years21,22 , partly because of 1Department of Physics, Indiana University, Bloomington, Indiana 47405, USA, 2Departamento de Física Teórica, Universidad Autónoma de Madrid, E-28049

Loss, Daniel

433

Electron Vortex Beams in a Magnetic Field: A New Twist on Landau Levels and Aharonov-Bohm States

  Materials Science Websites

Summary: -dependent phases: (i) the Zeeman phase from coupling the quantized angular momentum to the magnetic field and (ii-Larmor), or (iii) zero frequency. At the same time, its centroid always follows the classical cyclotron trajectory waves carrying intrinsic orbital angular momentum (OAM), also known as vortex beams, are widely explored

Nori, Franco

434

Aharonov-Bohm Oscillations in a Quasi-Ballistic 3D Topological-Insulator Nanowire , B. Dellabetta2

  Materials Science Websites

Summary: , this signature has been missing in transport experiments reported to date.9-11 Here, we report measurements oscillations in 3D TI nanowires, indicating surface transport9-11 However, the predicted behavior close

Gilbert, Matthew

435

Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring

  Physics Websites

Summary: , however, nonmono- tonically on the coupling strength between the superconductors, causing the system interaction U. As a starting point, the limit of large superconducting energy gaps = is solved analytically of quantum dot Josephson junc- tions is governed by an interplay of superconductivity and the Kondo effect


436

Aharonov-Bohm-type oscillations in antidot lattices in the quantum Hall regime Masanori Kato,* Akira Endo, Shingo Katsumoto, and Yasuhiro Iye

  Physics Websites

Summary: the antidots are observed in the vicinity of the =2 being the Landau level LL filling factor QH state. AB scattering is infrequent are scattered by the antidot and sample boundaries, which result in ballistic as a 2DES subjected to a periodic array of scatterers, i.e., a ballistic pinball situation.2 On the other

Iye, Yasuhiro

437

CHINESE JOURNAL OF PHYSICS VOL. 40, NO. 2 APRIL 2002 Aharonov-Bohm Effect on Landau States in Annular Cylindrical Boxes

  Physics Websites

Summary: in Annular Cylindrical Boxes E. Ley-Koo1¤, G. Villa-Torres1¤, and D. Kouznetsov2 1 Instituto de Fi´sica-UNAM., Apartado Postal 20-364, 01000 M´exico, D. F. M´exico 2 Mathematical Building, Box 87, University of Arizona an annular cylindrical box and in the presence of an axial uniform magnetic field is solved in two

Kouznetsov, Dmitrii

438

J. Phys. A: Math. Gen. 32 (1999) 56275641. Printed in the UK PII: S0305-4470(99)04457-1 AharonovBohm beam deflection: Shelankov's formula, exact

  Physics Websites

Summary: ­Bohm beam deflection: Shelankov's formula, exact solution, asymptotics and an optical analogue M V Berry H H of small angular width 1/w, aimed at a magnetic flux line with quantum flux , are deflected through as an asymptotic approximation for large w. Paraxial theory suggests that the same deflection will occur

Berry, Michael Victor
1999-01-01

439

IL NUOVO CIMENTO VOL. 1O0B, N. 3 Settembre 1987 Expectation Valoes in the Aharonov-Bohm Etect. -II.

  Physics Websites

Summary: £ect. - II. M. D. SEMON "Departmentof Physics -Bates College - Lewiston, ME 04240 J. R. TAYLOR Department-direction is incident on a barrier in the plane (1) M. D. SEMONand J. R. TAYLOR:Nuovo Cimento B, 97, 25 (1987). 389 #12;390 M. D. SEMON and J. R. 'rAYLOI\\ z = O. The barrier has two identical openings separated

Semon, Mark D.

440

Aharonov-Bohm effect in the non-Abelian quantum Hall fluid Lachezar S. Georgiev1 and Michael R. Geller2

  Physics Websites

Summary: N = z1 z2 ¯ zN 2 of charge-1 fermion fields :ei 2 : M, where is a u 1 boson15 and M a neutral Majorana anyon braiding for fault-tolerant quantum computation.20 Unfortunately, the braiding matrices gener

Geller, Michael R.

441

On the origin of the minimal coupling rule, and on the possiblity of observing a classical, "Aharonov-Bohm-like" angular momentum

  Quantum Physics (arXiv)

Summary: The minimal coupling rule is "derived" starting from Landau's relativistically invariant classical action for a charge in the presence of classical electromagnetic fields. Experiments are then proposed to see the resulting electromagnetic angular momentum of a classical, "lumpy" charged ring enclosing a solenoid. These classical, macroscopic experiments are similar in spirit to those proposed by Aharonov and Bohm at the quantum level.

Raymond Chiao
2011-04-22

442

The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac type operators with classical boundary conditions

  HEP - Theory (arXiv)

Summary: We compute, in topological terms, the spectral flow of an arbitrary family of self-adjoint Dirac type operators with classical (local) boundary conditions on a compact Riemannian manifold with boundary under the assumption that the initial and terminal operators of the family are conjugate by a bundle automorphism. This result is used to study conditions for the existence of nonzero spectral flow of a family of self-adjoint Dirac type operators with local boundary conditions in a two-dimensional domain with nontrivial topology. Possible physical realizations of nonzero spectral flow are discussed.

M. I. Katsnelson; V. E. Nazaikinskii
2012-05-24

443

Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov-Bohm flux

  Mathematical Physics (arXiv)

Summary: We study the dynamics of a quantum particle moving in a plane under the influence of a constant magnetic field and driven by a slowly time-dependent singular flux tube through a puncture. The known adiabatic results do not cover these models as the Hamiltonian has time dependent domain. We give a meaning to the propagator and prove an adiabatic theorem. To this end we introduce and develop the new notion of a propagator weakly associated to a time-dependent Hamiltonian.

J. Asch; I. Hradecky; P. Stovicek
2005-02-25

444

Matrices de dioeusion pour l'op#rateur de Schr#dinger avec champ magn#tique et ph#nom#ne de AharonovBohm

  Mathematics Websites

Summary: Matrices de dioeusion pour l'op#rateur de Schr#dinger avec champ magn#tique et ph#nom#ne de#e avec un champ #lectrique rV et un champ magn#tique B, donn# par l'op#rateur dioe#rentiel sur R n ; n â?? 2 : (1:1) H A;V = n X j=1 (D j \\Gamma A j (x)) 2 + V (x) o# D j = 1 i @ @x j A = n X j=1 A j dx j

Nicoleau, François

445

Two-particle AharonovBohm effect in electronic interferometers This article has been downloaded from IOPscience. Please scroll down to see the full text article.

  Physics Websites

Summary: .61.11.121 The article was downloaded on 01/09/2011 at 14:16 Please note that terms and conditions apply. View the table] and have been experimentally investigated by Oliver et al [8] and Henny et al [9]. More 1751


446

Interplay of Coulomb blockade and Aharonov-Bohm resonances in a Luttinger liquid Jari M. Kinaret, Mats Jonson, and Robert I. Shekhter

  Physics Websites

Summary: of an electronic system is reduced, a rich variety of new ``mesoscopic'' phenomena becomes experi- mentally on the right-hand side is recognized as the retarded current-current correlation func- tion. It is most readily

Eggert, Sebastian

447

J. Phys. A: Math. Gen. 30 (1997) 83558362. Printed in the UK PII: S0305-4470(97)86892-8 AharonovBohm geometric phases for rotated rotators

  Physics Websites

Summary: ­Bohm geometric phases for rotated rotators M V Berry H H Wills Physics Laboratory, Tyndall Avenue, Bristol BS8 1 particles near a line of magnetic flux (Aharonov and Bohm 1959). Previously (Berry 1984b), I considered), given by the derivative of the phase with respect to quantum number (Berry 1985)--must be zero

Berry, Michael Victor
1997-01-01

448

Dynamics of One-Dimensional Bose Liquids: Andreev-Like Reflection at Y Junctions and the Absence of the Aharonov-Bohm Effect

  Materials Science Websites

Summary: . The theory of one- dimensionally trapped atoms in equilibrium [2­5], as well as questions related to coherent liquids of interacting ultracold atoms in the Y-shaped potential when each branch is filled with atoms. We find that the excitation packet incident on a single Y junction should experience a negative density

Demler, Eugene

449

Magnetoresistance of nanoscale molecular devices based on Aharonov-Bohm interferometry This article has been downloaded from IOPscience. Please scroll down to see the full text article.

  Chemistry Websites

Summary: (2008) 383201 (32pp) doi:10.1088/0953-8984/20/38/383201 TOPICAL REVIEW Magnetoresistance of nanoscale by molecular conductors (an exception is the Kondo effect in single-molecule transistors). This is in contrast rise to a magnetic flux comparable to 10-3 of the quantum flux can be used to switch a class

Rabani, Eran

450

RAPID COMMUNICATIONS PHYSICAL REVIEW B 87, 060301(R) (2013)

  Engineering Websites

Summary: of a photonic Aharonov-Bohm effect at radio frequencies Kejie Fang,1 Zongfu Yu,2 and Shanhui Fan2 1 Department experimentally demonstrate the photonic Aharonov-Bohm effect. The effect relies on the nonreciprocal phase a gauge potential for photons, it is therefore important to observe the photonic Aharonov-Bohm effect

Fan, Shanhui
2013-01-01

451

Non-reciprocal phase shift induced by an effective magnetic flux for light

  Materials Science Websites

Summary: experimentally for electrons in the Aharonov­Bohm experiment. Here, we replicate this exper- iment using photons) and the direction-dependent phase is equivalent to the Aharonov­Bohm effect20 for electrons, where the electrons for radiofrequency photons was observed using a photonic Aharonov­Bohm interferometer21 . The demonstration

Lipson, Michal

452

Physica Scripta. Vol. T36, 258-264, 1991. Quantum Hair*

  Physics Websites

Summary: Of an evaporating black hole. 1. Introduction 2. Quantum hair and the Aharonov-Bohm effect The remarkable black hole properties that have nothing to do with the Aharonov-Bohm effect. In other words, a black hole might have, is associated with a long-range classical field. Quan- tum hair is associated with a long-range Aharonov-Bohm

Preskill, John

453

www.lpr-journal.org Temperature-dependent magneto-photoluminescence

  Engineering Websites

Summary: -walled carbon nanotubes; photoluminescence; excitons; Aharonov-Bohm effect PACS 78.67.Ch, 71.35.Ji, 78.55.-m We and adds an Aharonov-Bohm phase to the electronic wavefunction. In particular, a series of recent field, which breaks time reversal symmetry and adds an Aharonov-Bohm phase to the electronic wave

Kono, Junichiro

454

Surface Science Reports 64 (2009) 191232 Contents lists available at ScienceDirect

  Physics Websites

Summary: dots Gallium arsenide III­V semiconductors Photon­electron interactions Quantum point contacts Aharonov­Bohm quantum dot embedded in the Aharonov­Bohm ring interferometer. Aharonov­Bohm rings are traditionally used effect a b s t r a c t We use time-resolved charge detection techniques to investigate single

Ihn, Thomas
2009-01-01

455

pss header will be provided by the publisher Magneto-optical spectroscopy of excitons in carbon nanotubes

  Materials Science Websites

Summary: Key words : Single-walled carbon nanotubes, Excitons, the Aharonov-Bohm effect. PACS 71.35.Ji, 78 degeneracy, and the amount of state splitting is determined by the Aharonov-Bohm phase. We show experimental: Coulomb- induced splitting; AB: Aharonov-Bohm-induced splitting. Both states become optically

Maruyama, Shigeo

456

Photons as quasicharged particles K.-P. Marzlin, Jrgen Appel, and A. I. Lvovsky

  Physics Websites

Summary: photons and a topological phase shift of Aharonov-Bohm type. DOI: 10.1103/PhysRevA.77.043813 PACS number around a black hole or generate topological phase fac- tors of the Aharonov-Bohm type 3 that generate homogeneous quasielectric and magnetic fields as well as a vector potential of Aharonov-Bohm type

Lvovsky, Alexander

457

Large Anisotropy in the Magnetic Susceptibility of Metallic Carbon Nanotubes T. A. Searles,1

  Engineering Websites

Summary: predicted for single-walled carbon nanotubes (SWNTs) due to the com- bined effects of the Aharonov-Bohm, the Aharonov-Bohm effect modi- fies the circumferential boundary condition through a phase factor expð2i=0Þ of large orbital paramag- netism of metallic nanotubes arising from the Aharonov-Bohm-phase-induced gap

Kono, Junichiro

458

Interference between two indistinguishable electrons from independent sources

  Physics Websites

Summary: an Aharonov­Bohm flux. Although individual currents and their fluctuations (shot noise measured by auto-correlation) were found to be independent of the Aharonov­Bohm flux, the cross-correlation between current fluctuations at two opposite points across the device exhibited strong Aharonov­Bohm oscillations, suggesting

Heiblum, Mordehai "Moty"

459

Applications of the Complex Geometric "Phase" for Meta-stable Systems

  Quantum Physics (arXiv)

Summary: Garrison and Wright showed that upon undergoing cyclic quantum evolution a meta-stable state acquires both a geometric phase and a geometric decay probability. This is described by a complex geometric ``phase'' associated with the cyclic evolution of two states and is closely related to the two state formalism developed by Aharonov et al.. Applications of the complex geometric phase to the Born--Oppenheimer approximation and the Aharonov--Bohm effect are considered. A simple experiment based on the optical properties of absorbing birefringent crystals is proposed.

S. Massar
1996-05-28

460

Magnetoresistance devices based on single-walled carbon nanotubes Oded Hod and Eran Rabania

  Chemistry Websites

Summary: on the Aharonov-Bohm effect Phys. Rev. 115, 485 1959 . The proposed device is made of a short single-walled carbon to the Aharonov-Bohm effect, and show that by retracting the tip/contacts, so that the coupling to the SWCNT, for example, the conductance is sensitive to the Aharonov-Bohm AB effect.3 The study of the interplay between

Rabani, Eran

461

Geometric Phase for Fermionic Quasiparticles Scattering by Disgyration in Superfluids

  General Relativity & Quantum Cosmology (arXiv)

Summary: We consider a Volovik's analog model for description of a topological defects in a superfluid and we investigate the scattering of quasiparticles in this background. The analog of the gravitational Aharonov-Bohm in this system is found. An analysis of this problem employing loop variables is considered and corroborates for the existence of the Aharonov-Bohm effect in this system. The results presented here may be used to study the Aharonov-Bohm effect in superconductors.

L. C. Garcia de Andrade; A. M. de M. Carvalho; C. Furtado
2004-06-14

462

Scattering theory of electrical Markus Bttiker

  Materials Science Websites

Summary: -particle Aharonov-Bohm effect Entanglement Noise Dynamic conductance Quantum pumping 4 #12;Conductance from;Aharonov-Bohm conductance oscillations 14 Gefen, Imry, Azbel, PRL 2004 Buttiker, Imry, Azbel, Phys. Rev. A to Mesoscopic Physics, Y. Imry, Oxford University Press, 1997. Mesoscopic Physics of Electrons and Photons E

Paris-Sud 11, Université de

463

Physica B 249--251 (1998) 295--301 Dephasing due to which path detector

  Engineering Websites

Summary: rights reserved. Keywords: Dephasing; Quantum dots; Aharonov--Bohm effect Bohr's complementarity temperature techniques allow observation of a variety of coherent effects, such as Aharonov--Bohm (AB demonstrated recently using parametric down conversion of photons where one photon had been used to deter- mine

Buks, Eyal
1998-01-01

464

T h e o p e n a c c e s s j o u r n a l f o r p h y s i c s New Journal of Physics

  Physics Websites

Summary: . After having been observed in metallic nanostructures [5, 6], the Aharonov­Bohm effect was studied. In semiconductor nanostructures, quantum interference of electron waves is found very prominently in the Aharonov­Bohm [1] and the Fano [2] effects. In contrast to photons in vacuum, which do not interact with each other

Ihn, Thomas

465

About the Claimed Longitudinal Nature of the Antisymmetric Tensor Field After Quantization

  Mathematics Websites

Summary: the Aharonov­Bohm effect classically [42]. These attempts have, in my opinion, logical basis. In the mean time . . . Such is not the case in quantum theory. . . '' [36]. We learnt, indeed, about this fact from the Aharonov­Bohm [1] and the Aharonov­Casher effects [2]. However, recently several attempts have been undertaken to explain


466

Nonlocal Geometric Phase Measurements in Polarized Interferometry with Pairs of single Photons

  Physics Websites

Summary: Aharonov-Bohm effect was discussed theoretically by Büttiker [10] who noted in the context of electronic phase. This effect can be used for manipulating and controlling photonic entanglement. PACS numbers: 03 correlations and is a genuinely nonlocal and multiparticle Aharonov-Bohm ef- fect [11]. This has been

Paris-Sud XI, Université de

467

Scattering theory of transport through interacting mesoscopic systems

  Engineering Websites

Summary: are discussed: (i) The de­ phasing of the Aharonov--Bohm oscillations in a mesoscopic ring and (ii)). In a which--path experiment, the QD was embedded in one arm of an Aharonov--Bohm (AB) ring and the QPC acted. The reason is that photons and atomic beams can be nearly isolated from the macroscopic environment

Hackenbroich, Gregor

468

J. Phys. II trance 4 (1994) 1999-2027 NOVEMBER 1994, PAGE 1999 Classification

  Physics Websites

Summary: experiments of Kasevich and Chu, and the atomic equivalents of the Sagnac and Aharonov-Bohm effects and Chu), a particle in a rotating frame, and the atomic equivalents of the Aharonov-Bohm effects. 1. Path in the more traditional types of interferometry using photons, electrons and neutrons. The development

Paris-Sud XI, Université de
1994-01-01

469

Photonic de Haas-van Alphen effect Kejie Fang, Zongfu Yu, and Shanhui Fan

  Engineering Websites

Summary: waveguide array," Phys. Rev. Lett. 103, 033902 (2009). 9. K. Fang, Z. Yu, and S. Fan, "Photonic Aharonov-Bohm Aharonov-Bohm effect at radio frequen- cies," Phys. Rev. B 87, 060301(R) (2013). 12. Z. Yu and S. FanPhotonic de Haas-van Alphen effect Kejie Fang, Zongfu Yu, and Shanhui Fan Ginzton Laboratory

Fan, Shanhui

470

Magnetic Brightening of Carbon Nanotube Photoluminescence through

  Engineering Websites

Summary: and the interplay of Coulomb interactions and the Aharonov-Bohm effect. This conclusively explains our data to be a consequence of broken time reversal symmetry, working in tandem with the Aharonov-Bohm effect, and has far- conducting SWNTs, in particular, have attracted much recent attention for photonic applications.7 They have

Kono, Junichiro

471

Topology, holes and sources Alexander Afriat

  Physics Websites

Summary: Topology, holes and sources Alexander Afriat May 13, 2012 Abstract The Aharonov-Bohm effect1 (or just about any radiation, propagation from a source). 1 The Aharonov-Bohm effect A wavefunction: it may or may not. The existence of the source responsible for the effect is therefore ruled out by one

Paris-Sud XI, Université de

472

Coherent Probing of Excited Quantum Dot States in an Interferometer Martin Sigrist,1

  Materials Science Websites

Summary: Coherent Probing of Excited Quantum Dot States in an Interferometer Martin Sigrist,1 Thomas Ihn,1 cotunneling currents are presented on a two-terminal Aharonov- Bohm interferometer with a Coulomb paths of electronic Aharonov- Bohm (AB) interferometers [2]. If an electron traverses the N-electron dot

Ihn, Thomas

473

Comment on "Coherent Detection of Electron Dephasing'' [arXiv:0909.2197

  Physics (arXiv)

Summary: It is shown that the theoretical result according to which electrons can be reflected because of magnetic flux in the Aharonov-Bohm ring contradicts to the fundamental law of momentum conservation and can not conform with the Aharonov-Bohm effect. Therefore a publication of Phys. Rev. Lett. [arXiv:0909.2197] based on this result can not be correct.

A. V. Nikulov
2010-06-29

474

Superlattices and Microstructures www.elsevier.com/locate/jnlabr/yspmi

  Physics Websites

Summary: of the system parameters reveals that the Fano effect in mesoscopic transport can be a powerful tool dot - Aharonov-Bohm ring hybrid systems S. Katsumoto , K. Kobayashi, H. Aikawa, A. Sano, Y. Iye Abstract We investigate coherent transport through hybrid systems of quantum dots and Aharonov-Bohm (AB

Iye, Yasuhiro

475

SUPERALGEBRAS OF SYMMETRY OPERATORS FOR COULOMB AND

  Mathematics Websites

Summary: , Ukraine ABSTRACT. It is shown that the relativistic Hydrogen atom and the Aharonov-Bohm-Coulomb system we show that relativistic Hydrogen atom and the relativistic Aharonov-Bohm-Coulomb (ABC) system-dimension Clifford algebra. All linearly independent products of SOs (2.3), (2.4), i.e., m, mn, kmn, ^I, (2.6) (k, m

Nikitin, Anatoly

476

Optical Analog of the Iordanskii Force in a Bose-Einstein Condensate

  Condensed Matter (arXiv)

Summary: A vortex in a Bose-Einstein condensate generates the optical analog of the Aharonov-Bohm effect when illuminated with slow light. In contrast to the original Aharonov-Bohm effect the vortex will exchange forces with the light that lead to a measurable motion of the vortex.

U. Leonhardt; P. Ohberg
2003-05-01

477

Engineering and Probing Topological Bloch Bands in Optical Lattices

  Physics Websites

Summary: ,Timon Hilker, Michael Lohse, Thomas Reimann, Alexander Keesling, Christian Gross Simon Fölling, Francesco Topological Features of Bloch Bands 4 An `Aharonov Bohm' Interferometer for measuring Berry curvature Sunday optical couplings lead to a Berry phase analoguous to the Aharonov-Bohm phase Y. Lin et al., Nature (2009

Dalibard, Jean

478

Monomial Crystals and Partition Crystals

  MIT - DSpace

Summary: Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(?[subscript 0]) for [^ over sl][subscript n], where the vertices are indexed by certain partitions. He showed that special ...

Tingley, Peter William

479

International Crystal Manufacturing

  Physics Websites

Summary: ------------------------------------------------------------------10 HC49US/S Resistance Weld Low Profile Crystal ---------------------------------------------------- 11 HC49U Resistance Weld Crystal-------------------------------------------------------------------------12 HC45U Resistance Weld Miniature Crystal

Berns, Hans-Gerd

480

Optomechanical creation of magnetic fields for photons on a lattice

  Quantum Physics (arXiv)

Summary: We propose using the optomechanical interaction to create artificial magnetic fields for photons on a lattice. The ingredients required are an optomechanical crystal, i.e. a piece of dielectric with the right pattern of holes, and two laser beams with the right pattern of phases. One of the two proposed schemes is based on optomechanical modulation of the links between optical modes, while the other is an lattice extension of optomechanical wavelength-conversion setups. We illustrate the resulting optical spectrum, photon transport in the presence of an artificial Lorentz force, edge states, and the photonic Aharonov-Bohm effect. Moreover, wWe also briefly describe the gauge fields acting on the synthetic dimension related to the phonon/photon degree of freedom. These can be generated using a single laser beam impinging on an optomechanical array.

M. Schmidt; S. Keßler; V. Peano; O. Painter; F. Marquardt
2015-02-26

481

Crystal Lake 

  Texas A&M University - TxSpace

Summary: THE DISTRIBUTION OF F-CENTERS IN NACL CRYSTALS PARTIALLY EXPOSED TO X-IRRADIATION Charles E. Blount Submitted to ths Osaduats School cf the Ag&eultusal aad hlsehaaleal CoRege of Teeas ka ' . yae~ fulfSIttteet of the seejaka'~ 4e' the dega...'ee of MASTER OF SCIENCE August 1960 Ma]or Suh)oct& Physics THE DISTRIBUTION OF F-CENTERS IN NACL CRYSTALS PARTIALLY EXPOSED TO X-IRRADIATION A Thesis Charles E. Blount Approved as to style and content byt (Chairman of Commtttee) / +M &lF' {Head...

Unknown
2011-09-05

482

Optomechanical Crystals

  CERN Preprints

Summary: Structured, periodic optical materials can be used to form photonic crystals capable of dispersing, routing, and trapping light. A similar phenomena in periodic elastic structures can be used to manipulate mechanical vibrations. Here we present the design and experimental realization of strongly coupled optical and mechanical modes in a planar, periodic nanostructure on a silicon chip. 200-Terahertz photons are co-localized with mechanical modes of Gigahertz frequency and 100-femtogram mass. The effective coupling length, which describes the strength of the photon-phonon interaction, is as small as 2.9 microns, which, together with minute oscillator mass, allows all-optical actuation and transduction of nanomechanical motion with near quantum-limited sensitivity. Optomechanical crystals have many potential applications, from RF-over-optical communication to the study of quantum effects in mesoscopic mechanical systems.

Eichenfield, Matt; Camacho, Ryan M; Vahala, Kerry J; Painter, Oskar
2009-01-01

483

Protein crystallization Mirjam Leunissen

  Mathematics Websites

Summary: Protein crystallization Mirjam Leunissen #12;Mirjam Leunissen Department of solid state chemistry October 2001 Supervisor: Willem van Enckevort An essay on several aspects of protein crystallization research Lysozyme Front page: collage of protein crystals #12;Abstract This essay is about

Leunissen, Mirjam

484

Toroidal Crystals

  Condensed Matter (arXiv)

Summary: Crystalline assemblages of identical sub-units packed together and elastically bent in the form of a torus have been found in the past ten years in a variety of systems of surprisingly different nature, such as viral capsids, self-assembled monolayers and carbon nanomaterials. In this Letter we analyze the structural properties of toroidal crystals and we provide a unified description based on the elastic theory of defects in curved geometries. We find ground states characterized by the presence of 5-fold disclinations on the exterior of the torus and 7-fold disclinations in the interior. The number of excess disclinations is controlled primarily by the aspect ratio of the torus, suggesting a novel mechanism for creating toroidal templates with precisely controlled valency via functionalization of the defect sites.

Luca Giomi; Mark J. Bowick
2008-01-23

485

Protein crystallization in vivo

  Condensed Matter (arXiv)

Summary: Protein crystallization in vivo provides some fascinating examples of biological self-assembly. Here, we provide a selective survey to show the diversity of functions for which protein crystals are used, and the physical properties of the crystals thatare exploited. Where known, we emphasize how the nature of the protein-protein interactions leads to control of the crystallization behaviour.

Jonathan P. K. Doye; Wilson C. K. Poon
2005-10-03

486

Ecole Doctorale de Physique de la Region Parisienne -ED 107 TH `ESE DE DOCTORAT

  Physics Websites

Summary: theoretically, this coupling occurs through an interference effect involving the Aharonov-Bohm phase. We relax- ation time . Numerical simulations account for the experimental values of , set by the quasiparticle resistance. We have also investigated the electromagnetic field propagation inside

Paris-Sud XI, Université de

487

J Low Temp Phys DOI 10.1007/s10909-009-0112-8

  Materials Science Websites

Summary: caused by the alignment-- e.g. the shift of optical transitions due to the Aharonov-Bohm effect) where denotes the radiation photon energy and (av) indicates the spectral average. The same integration

Natelson, Douglas

488

Recent Results on the Abelian Projection of Lattice Gluodynamics

  HEP - Lattice (arXiv)

Summary: The abelian projection of lattice gluodynamics is reviewed. The main topics are: abelian and monopole dominance, monopole condensate as the disorder parameter, effective abelian Lagrangian, monopoles in the instanton field, Aharonov -- Bohm effect on the lattice.

M. I. Polikarpov
1996-09-07

489

Quantum Phase Transitions Josephson & Optical Lattices

  Materials Science Websites

Summary: - Frustrated systems * Aharonov-Bohm cages in frustrated dice lattices M. Rizzi, V. Cataudella and R. Fazio PRB `06 * 4e- condensation in diamond chains M. Rizzi, V. Cataudella and R. Fazio PRB `06 #12;Josephson

Fominov, Yakov

490

On Aharonov-Casher bound states

  Mathematical Physics (arXiv)

Summary: In this work bound states for the Aharonov-Casher problem are considered. According to Hagen's work on the exact equivalence between spin-1/2 Aharonov-Bohm and Aharonov-Casher effects, is known that the $\\boldsymbol{\

E. O. Silva; F. M. Andrade; H. Belich; C. Filgueiras
2013-04-23

491

Several remarks on ``Comments'' by A. Moroz

  Quantum Physics (arXiv)

Summary: We make a couple of remarks on ``Comments'' due to A. Moroz which were addressed to our recent letter "Differential cross section for Aharonov-Bohm effect with non standard boundary conditions", Europhys. Lett. 44 (1998) 403.

P. Stovicek
1999-06-21

492

A Huckel study of the effect of a molecular resonance cavity on the quantum conductance of an alkene wire

  Chemistry Websites

Summary: the electronic wavefunctions can experience large changes in phase. Using an `interference index', I ¼ modðS; 2Þ. This effect was recently used to create Aharonov Bohm oscillations in carbon nanotubes [13]and are known also

Baer, Roi

493

Gauge invariance and the detection of gravitational radiation

  General Relativity & Quantum Cosmology (arXiv)

Summary: The detection of gravitational radiation raises some subtle issues having to do with the coordinate invariance of general relativity. This paper explains these issues and their resolution by using an analogy with the Aharonov-Bohm effect of quantum mechanics.

David Garfinkle
2005-11-16

494

Crossover from critical orthogonal to critical unitary statistics at the Anderson transition

  Nonlinear Sciences (arXiv)

Summary: We report a novel scale-independent, Aharonov-Bohm flux controlled crossover from critical orthogonal to critical unitary statistics at the disorder induced metal insulator transition. Our numerical investigations show that at the critical point the level statistics are definitely distinct and determined by fundamental symmetries. The latter is similar to the behavior of the metallic phase known from random matrix theory. The Aharonov-Bohm flux dependent crossover is characteristic of the critical ensemble.

M. Batsch; L. Schweitzer; I. Kh. Zharekeshev; B. Kramer
1996-07-10

495

Cylindrical photonic crystals

  MIT - DSpace

Summary: In this thesis, we explore the properties of cylindrical photonic crystal waveguides in which light is confined laterally by the band gap of a cylindrically-layered photonic crystal. We show in particular that axially-uniform ...

Ibanescu, Mihai, 1977-
2005-01-01

496

VOLUME 87, NUMBER 25 P H Y S I C A L R E V I E W L E T T E R S 17 DECEMBER 2001 Coherent Coupling of Two Quantum Dots Embedded in an Aharonov-Bohm Interferometer

  Physics Websites

Summary: is fabricated from a negative resist (calixarene) [10] with a dielectric constant of ecax 7.1 [11]. Hereby, the areas of the 2DEG which are below the calixarene are significantly less depleted by voltages which

Ludwig-Maximilians-Universität, München

497

Aperiodic crystals and beyond

  Mathematical Physics (arXiv)

Summary: Crystals are paradigms of ordered structures. While order was once seen as synonymous with lattice periodic arrangements, the discoveries of incommensurate crystals and quasicrystals led to a more general perception of crystalline order, encompassing both periodic and aperiodic crystals. The current definition of crystals rests on their essentially point-like diffraction. Considering a number of recently investigated toy systems, with particular emphasis on non-crystalline ordered structures, the limits of the current definition are explored.

Uwe Grimm
2015-06-17

498

Photonic Hyper-Crystals

  CERN Preprints

Summary: We introduce a new "universality class" of artificial optical media - photonic hyper-crystals. These hyperbolic metamaterials with periodic spatial variation of dielectric permittivity on subwavelength scale, combine the features of optical metamaterials and photonic crystals. In particular, surface waves supported by a hyper-crystal, possess the properties of both the optical Tamm states in photonic crystals and surface plasmon polaritons at the metal-dielectric interface.

Narimanov, Evgenii E
2014-01-01

499

Ion Coulomb Crystals

  Quantum Physics (arXiv)

Summary: Ion Coulomb crystals (ICC), formed by atomic ions at low temperatures in radiofrequency and Penning ion traps, are structures that have remarkable properties and many applications. Images of Coulomb crystals are striking and reveal the crystal structure, which arises from a balance between the trapping forces acting on the ions and their mutual Coulomb repulsion. Applications of these structures range from frequency standards and quantum simulation through to measurement of the cross sections of chemical reactions of ions.

Richard C. Thompson
2014-11-18

500

Photonic Crystal Spectrometer

  CERN Preprints

Summary: We demonstrate a new kind of optical spectrometer employing photonic crystal patterns to outcouple waveguided light from a transparent substrate. This spectrometer consists of an array of photonic crystal patterns, nanofabricated in a polymer on a glass substrate, combined with a camera. The camera captures an image of the light outcoupled from the patterned substrate; the array of patterns produces a spatially resolved map of intensities for different wavelength bands. The intensity map of the image is converted into a spectrum using the photonic crystal pattern response functions. We present a proof of concept by characterizing a white LED with our photonic crystal spectrometer.

Pervez, Nadia K; Jia, Zhang; Cox, Marshall P; Edrees, Hassan M; Kymissis, Ioannis
2010-01-01

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