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Title: Light-induced effective magnetic fields for ultracold atoms in planar geometries

Abstract

We propose a scheme to create an effective magnetic field for ultracold atoms in a planar geometry. The setup allows the experimental study of classical and quantum Hall effects in close analogy to solid-state systems including the possibility of finite currents. The present scheme is an extention of the proposal in Phys. Rev. Lett. 93, 033602 (2004), where the effective magnetic field is now induced for three-level {lambda}-type atoms by two counterpropagating laser beams with shifted spatial profiles. Under conditions of electromagnetically induced transparency the atom-light interaction has a space-dependent dark state, and the adiabatic center-of-mass motion of atoms in this state experiences effective vector and scalar potentials. The associated magnetic field is oriented perpendicular to the propagation direction of the laser beams. The field strength achievable is one flux quantum over an area given by the transverse beam separation and the laser wavelength. For a sufficiently dilute gas the field is strong enough to reach the lowest Landau level regime.

Authors:
 [1];  [1];  [2];  [3];  [4]
  1. Institute of Theoretical Physics and Astronomy of Vilnius University, A. Gostauto 12, 01108 Vilnius (Lithuania)
  2. (Germany)
  3. Department of Physics, University of Strathclyde, Glasgow G4 0NG, Scotland (United Kingdom)
  4. Fachbereich Physik, Technische Universitaet Kaiserslautern, D-67663 Kaiserslautern (Germany)
Publication Date:
OSTI Identifier:
20974653
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.025602; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; BOSE-EINSTEIN CONDENSATION; CENTER-OF-MASS SYSTEM; HALL EFFECT; INTERACTIONS; LASER RADIATION; MAGNETIC FIELDS; OPACITY; PHOTON-ATOM COLLISIONS; POTENTIALS; SOLIDS; SPACE DEPENDENCE; WAVELENGTHS

Citation Formats

Juzeliunas, G., Ruseckas, J., Fachbereich Physik, Technische Universitaet Kaiserslautern, D-67663 Kaiserslautern, Oehberg, P., and Fleischhauer, M.. Light-induced effective magnetic fields for ultracold atoms in planar geometries. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.025602.
Juzeliunas, G., Ruseckas, J., Fachbereich Physik, Technische Universitaet Kaiserslautern, D-67663 Kaiserslautern, Oehberg, P., & Fleischhauer, M.. Light-induced effective magnetic fields for ultracold atoms in planar geometries. United States. doi:10.1103/PHYSREVA.73.025602.
Juzeliunas, G., Ruseckas, J., Fachbereich Physik, Technische Universitaet Kaiserslautern, D-67663 Kaiserslautern, Oehberg, P., and Fleischhauer, M.. Wed . "Light-induced effective magnetic fields for ultracold atoms in planar geometries". United States. doi:10.1103/PHYSREVA.73.025602.
@article{osti_20974653,
title = {Light-induced effective magnetic fields for ultracold atoms in planar geometries},
author = {Juzeliunas, G. and Ruseckas, J. and Fachbereich Physik, Technische Universitaet Kaiserslautern, D-67663 Kaiserslautern and Oehberg, P. and Fleischhauer, M.},
abstractNote = {We propose a scheme to create an effective magnetic field for ultracold atoms in a planar geometry. The setup allows the experimental study of classical and quantum Hall effects in close analogy to solid-state systems including the possibility of finite currents. The present scheme is an extention of the proposal in Phys. Rev. Lett. 93, 033602 (2004), where the effective magnetic field is now induced for three-level {lambda}-type atoms by two counterpropagating laser beams with shifted spatial profiles. Under conditions of electromagnetically induced transparency the atom-light interaction has a space-dependent dark state, and the adiabatic center-of-mass motion of atoms in this state experiences effective vector and scalar potentials. The associated magnetic field is oriented perpendicular to the propagation direction of the laser beams. The field strength achievable is one flux quantum over an area given by the transverse beam separation and the laser wavelength. For a sufficiently dilute gas the field is strong enough to reach the lowest Landau level regime.},
doi = {10.1103/PHYSREVA.73.025602},
journal = {Physical Review. A},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}
  • We investigate the influence of two resonant laser beams on the mechanical properties of degenerate atomic gases. The control and probe beams of light are considered to have orbital angular momenta (OAM) and act on the three-level atoms in the electromagnetically induced transparency configuration. The theory is based on the explicit analysis of the quantum dynamics of cold atoms coupled with two laser beams. Using the adiabatic approximation, we obtain an effective equation of motion for the atoms driven to the dark state. The equation contains a vector-potential-type interaction as well as an effective trapping potential. The effective magnetic fieldmore » is shown to be oriented along the propagation direction of the control and probe beams containing OAM. Its spatial profile can be controlled by choosing proper laser beams. We demonstrate how to generate a constant effective magnetic field, as well as a field exhibiting a radial distance dependence. The resulting effective magnetic field can be concentrated within a region where the effective trapping potential holds the atoms. The estimated magnetic length can be considerably smaller than the size of the atomic cloud.« less
  • We consider the influence of the control and probe beams in the electromagnetically induced transparency configuration on the mechanical motion of ultracold atomic gases (atomic Bose-Einstein condensates or degenerate Fermi gases). We carry out a microscopic analysis of the interplay between radiation and matter and show that the two beams of light can provide an effective magnetic field acting on electrically neutral atoms in the case where the probe beam has an orbital angular momentum. As an example, we demonstrate how a Meissner-like effect can be created in an atomic Bose-Einstein condensate.
  • We study the dynamics of ultracold atoms in tailored bichromatic optical lattices. By tuning the lattice parameters, one can readily engineer the band structure and realize a Dirac point, i.e., a true crossing of two Bloch bands. The dynamics in the vicinity of such a crossing is described by the one-dimensional Dirac equation, which is rigorously shown beyond the tight-binding approximation. Within this framework we analyze the effects of an external potential and demonstrate numerically that it is possible to demonstrate Klein tunneling with current experimental setups.
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