Lightinduced 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 solidstate 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 threelevel {lambda}type atoms by two counterpropagating laser beams with shifted spatial profiles. Under conditions of electromagnetically induced transparency the atomlight interaction has a spacedependent dark state, and the adiabatic centerofmass 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:
 Institute of Theoretical Physics and Astronomy of Vilnius University, A. Gostauto 12, 01108 Vilnius (Lithuania)
 (Germany)
 Department of Physics, University of Strathclyde, Glasgow G4 0NG, Scotland (United Kingdom)
 Fachbereich Physik, Technische Universitaet Kaiserslautern, D67663 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; BOSEEINSTEIN CONDENSATION; CENTEROFMASS SYSTEM; HALL EFFECT; INTERACTIONS; LASER RADIATION; MAGNETIC FIELDS; OPACITY; PHOTONATOM COLLISIONS; POTENTIALS; SOLIDS; SPACE DEPENDENCE; WAVELENGTHS
Citation Formats
Juzeliunas, G., Ruseckas, J., Fachbereich Physik, Technische Universitaet Kaiserslautern, D67663 Kaiserslautern, Oehberg, P., and Fleischhauer, M.. Lightinduced 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, D67663 Kaiserslautern, Oehberg, P., & Fleischhauer, M.. Lightinduced 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, D67663 Kaiserslautern, Oehberg, P., and Fleischhauer, M.. Wed .
"Lightinduced effective magnetic fields for ultracold atoms in planar geometries". United States.
doi:10.1103/PHYSREVA.73.025602.
@article{osti_20974653,
title = {Lightinduced effective magnetic fields for ultracold atoms in planar geometries},
author = {Juzeliunas, G. and Ruseckas, J. and Fachbereich Physik, Technische Universitaet Kaiserslautern, D67663 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 solidstate 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 threelevel {lambda}type atoms by two counterpropagating laser beams with shifted spatial profiles. Under conditions of electromagnetically induced transparency the atomlight interaction has a spacedependent dark state, and the adiabatic centerofmass 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 threelevel 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 vectorpotentialtype interaction as well as an effective trapping potential. The effective magnetic fieldmore »

Creation of an Effective Magnetic Field in Ultracold Atomic Gases Using Electromagnetically Induced Transparency
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 BoseEinstein 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 Meissnerlike effect can be created in an atomic BoseEinstein condensate. 
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