The effects of optically induced non-Abelian gauge field in cold atoms

Abstract

We show that $N-1$ degenerate dark states can be generated by coupling $N$-fold degenerate ground states and a common excited state with $N$ laser fields. Interferences between light waves with different frequencies can produce laser fields with time-dependent amplitudes, which can induce not only U(N) non-Abelian vector fields but also the scalar ones for the adiabatic motion of atoms in such laser fields. As an example, a time-periodic gauge potential is produced by applying specific laser fields to a tripod system. Some features of the Landau levels and the ground-state phase diagram of a rotating Bose-Einstein condensate for a concrete gauge field are also discussed.

Revtex 6 pages, 2 figures, version to be published in PRA

References in corpus (3)

• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Quantum Phase Transitions and Bipartite Entanglement
• Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta

Cited by in corpus (9)

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• Massless Dirac Fermions in a Square Optical Lattice
• Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
• Vector bosons in the rotating frame of negative curvature wormholes
• Noninertial effects on nonrelativistic topological quantum scattering
• Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in the background of screw dislocations with a rotating frame
• Rotational influence on fermions within negative curvature wormholes
• Interferometry with Synthetic Gauge Fields
• On an atom with a magnetic quadrupole moment in a rotating frame