skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime

Abstract

From the modified Maxwell theory coupled to gravity, we establish a possible scenario of the violation of the Lorentz symmetry and write an effective metric for the cosmic string spacetime. Then, we investigate the arising of an analogue of the Anandan quantum phase for a relativistic Dirac neutral particle with a permanent magnetic dipole moment in the cosmic string spacetime under Lorentz symmetry breaking effects. Besides, we analyse the influence of the effects of the Lorentz symmetry violation and the topology of the defect on the Aharonov–Casher geometric quantum phase in the nonrelativistic limit.

Authors:
 [1];  [1];  [2]
  1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa-PB (Brazil)
  2. Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES (Brazil)
Publication Date:
OSTI Identifier:
22617388
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 372; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATION; MAGNETIC DIPOLE MOMENTS; NEUTRAL PARTICLES; RELATIVISTIC RANGE; SPACE-TIME; SYMMETRY BREAKING

Citation Formats

Bakke, K., E-mail: kbakke@fisica.ufpb.br, Furtado, C., E-mail: furtado@fisica.ufpb.br, and Belich, H., E-mail: belichjr@gmail.com. Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime. United States: N. p., 2016. Web. doi:10.1016/J.AOP.2016.06.013.
Bakke, K., E-mail: kbakke@fisica.ufpb.br, Furtado, C., E-mail: furtado@fisica.ufpb.br, & Belich, H., E-mail: belichjr@gmail.com. Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime. United States. doi:10.1016/J.AOP.2016.06.013.
Bakke, K., E-mail: kbakke@fisica.ufpb.br, Furtado, C., E-mail: furtado@fisica.ufpb.br, and Belich, H., E-mail: belichjr@gmail.com. Thu . "Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime". United States. doi:10.1016/J.AOP.2016.06.013.
@article{osti_22617388,
title = {Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime},
author = {Bakke, K., E-mail: kbakke@fisica.ufpb.br and Furtado, C., E-mail: furtado@fisica.ufpb.br and Belich, H., E-mail: belichjr@gmail.com},
abstractNote = {From the modified Maxwell theory coupled to gravity, we establish a possible scenario of the violation of the Lorentz symmetry and write an effective metric for the cosmic string spacetime. Then, we investigate the arising of an analogue of the Anandan quantum phase for a relativistic Dirac neutral particle with a permanent magnetic dipole moment in the cosmic string spacetime under Lorentz symmetry breaking effects. Besides, we analyse the influence of the effects of the Lorentz symmetry violation and the topology of the defect on the Aharonov–Casher geometric quantum phase in the nonrelativistic limit.},
doi = {10.1016/J.AOP.2016.06.013},
journal = {Annals of Physics},
number = ,
volume = 372,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2016},
month = {Thu Sep 15 00:00:00 EDT 2016}
}
  • Based on the discussions about the Aharonov-Casher effect in the Lorentz symmetry violation background, we show that the analogue of the relativistic Landau quantization in the Aharonov-Casher setup can be achieved in the Lorentz-symmetry violation background.
  • Aharonov and Anandan have recently reformulated and generalized Berry's phase by showing that a quantum system which evolves through a circuit C in projective Hilbert space acquires a geometrical phase ..beta..(C) related to the topology of the space and the geometry of the circuit. We present NMR interferometry experiments in a three-level system which demonstrate the Aharonov-Anandan phase and its topological invariance for different circuits.
  • By analysing the behaviour of a neutral particle with permanent magnetic dipole moment confined to a quantum dot in the presence of a radial electric field, Coulomb-type and linear confining potentials, then, an Aharonov–Bohm-type effect for bound states and a dependence of the angular frequency of the system on the Aharonov–Casher geometric phase and the quantum numbers associated with the radial modes, the angular momentum and the spin are obtained. In particular, the possible values of the angular frequency and the persistent spin currents associated with the ground state are investigated in two different cases.
  • We study the effect of an electric charge in the middle of a ring of electrons in a magnetic field such as {nu}=(1)/(2). In the absence of the central charge, a residual current should appear due to an Aharanov-Bohm effect. As the charge varies, periodic currents should appear in the ring. We evaluate the amplitude of these currents, as well as their period as the central charge varies. The presence of these currents should be a direct signature of the existence of a statistical gauge field in the {nu}=(1)/(2) quantum Hall effect. Numerical diagonalizations for a small number of electronsmore » on the sphere are also carried out. Like the mean-field results, the numerical results up to nine electrons show a nontrivial reshuffling of the ground state as the electric charge is varied. {copyright} {ital 1997} {ital The American Physical Society}« less
  • We study the persistent currents induced by both the Aharonov-Bohm and Aharonov-Casher effects in a one-dimensional mesoscopic ring coupled to a sidebranch quantum dot at Kondo resonance. For privileged values of the Aharonov-Bohm-Casher fluxes, the problem can be mapped onto an integrable model, exactly solvable by a Bethe ansatz. In the case of a pure magnetic Aharonov-Bohm flux, we find that the presence of the quantum dot has no effect on the persistent current. In contrast, the Kondo resonance interferes with the spin-dependent Aharonov-Casher effect to induce a current which, in the strong-coupling limit, is independent of the number ofmore » electrons in the ring.« less