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arXiv:cond-mat/0701481 · Physical Review A

Effects of an optically induced non-Abelian gauge field in cold atoms

Li-Hua Lü, You‐Quan Li

Published Aug 16, 2007• 33 citations
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Abstract

We show that $N\ensuremath{-}1$ 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 $\mathrm{U}(N)$ 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.

DOI
10.1103/physreva.76.023410

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