BEC in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity

Details BEC in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity BEC in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity

2012-03-12

arxiv.org/abs/1203.2389v1

Physics

Condensed Matter

Quantum Gases

5 pages, 4 figures

Scientific paper

Recently spin-orbit (SO) coupled superfluids in free space or harmonic traps have been extensively studied, motivated by the recent experimental realization of SO coupling for Bose-Einstein condensates (BEC). However, the rich physics of SO coupled BEC in optical lattices has been largely unexplored. In this Letter, we show that in suitable parameter region the lowest Bloch state forms an isolated flat band in a one dimensional (1D) SO coupled optical lattice, which thus provides an experimentally feasible platform for exploring the recently celebrated topological flat band physics in lattice systems. We show that the flat band is preserved even with the mean field interaction in BEC. We investigate the superfluidity of the BEC in SO coupled lattices through dynamical and Landau stability analysis, and show that the BEC is stable on the whole flat band.

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