Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states

J. Ruseckas, G. Juzeliunas, P. Ohberg, M. Fleischhauer

Research output: Contribution to journalArticle

377 Citations (Scopus)

Abstract

We show that the adiabatic motion of ultracold, multilevel atoms in spatially varying laser fields can give rise to effective non-Abelian gauge fields if degenerate adiabatic eigenstates of the atom-laser interaction exist. A pair of such degenerate dark states emerges, e.g., if laser fields couple three internal states of an atom to a fourth common one under pairwise two-photon-resonance conditions. For this so-called tripod scheme we derive general conditions for truly non-Abelian gauge potentials and discuss special examples. In particular we show that using orthogonal laser beams with orbital angular momentum an effective magnetic field can be generated that has a monopole component.
LanguageEnglish
Article number010404
Number of pages4
JournalPhysical Review Letters
Volume95
Issue number1
DOIs
Publication statusPublished - Jun 2005

Fingerprint

lasers
atoms
tripods
monopoles
eigenvectors
angular momentum
laser beams
orbitals
photons
magnetic fields
interactions

Keywords

  • dark states
  • quantum optics
  • eigenvalues
  • eigenfunctions
  • two-photon processes

Cite this

Ruseckas, J. ; Juzeliunas, G. ; Ohberg, P. ; Fleischhauer, M. / Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states. In: Physical Review Letters. 2005 ; Vol. 95, No. 1.
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Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states. / Ruseckas, J.; Juzeliunas, G.; Ohberg, P.; Fleischhauer, M.

In: Physical Review Letters, Vol. 95, No. 1, 010404, 06.2005.

Research output: Contribution to journalArticle

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AB - We show that the adiabatic motion of ultracold, multilevel atoms in spatially varying laser fields can give rise to effective non-Abelian gauge fields if degenerate adiabatic eigenstates of the atom-laser interaction exist. A pair of such degenerate dark states emerges, e.g., if laser fields couple three internal states of an atom to a fourth common one under pairwise two-photon-resonance conditions. For this so-called tripod scheme we derive general conditions for truly non-Abelian gauge potentials and discuss special examples. In particular we show that using orthogonal laser beams with orbital angular momentum an effective magnetic field can be generated that has a monopole component.

KW - dark states

KW - quantum optics

KW - eigenvalues

KW - eigenfunctions

KW - two-photon processes

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