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

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

2007-01-19

arxiv.org/abs/cond-mat/0701481v2

Phys. Rev. A 76, 023410 (2007)

Physics

Condensed Matter

Other Condensed Matter

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

Scientific paper

10.1103/PhysRevA.76.023410

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.

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