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Vortex lattice solutions to the Gross-Pitaevskii equation with spin-orbit coupling in optical lattices

Effective spin-orbit coupling can be created in cold atom systems using atom-light interaction. We study the BECs in an optical lattice using the Gross-Pitaevskii equation with spin-orbit coupling. Bloch states for the linear equation are numerically obtained, and compared with stationary solutions to the Gross-Pitaevskii equation with nonlinear terms. Various vortex lattice states are found when the spin-orbit coupling is strong.

preprint2013arXivOpen access
Hidetsugu SakaguchiBen Li
nlin.PScond-mat.quant-gasquant-ph
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Hidetsugu SakaguchiBen Li

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