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Chaos Solitons & Fractals

Phase diagram and dynamics of dark-bright vector solitons in spin-orbit-coupled Bose–Einstein condensate

T.F. Xu, W.L. Li, Zai-Dong Li, Chao-Jing Zhang

Published Apr 14, 2018• 20 citations
Publisher
DOI
10.1016/j.chaos.2018.04.014

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We investigate the moving matter-wave solitons in spin—orbit coupled Bose—Einstein condensates (BECs) by a perturbation method. Starting with the one-dimensional Gross—Pitaevskii equations, we derive a new KdV-like equation to which an approximate solution is obtained by assuming weak Raman coupling and strong spin—orbit coupling. The derivation of the KdV-like equation may be useful to understand the properties of solitons excitation in spin—orbit coupled BECs. We find different types of moving solitons: dark—bright, bright—bright and dark—dark solitons. Interestingly, moving dark—dark soliton for attractive intra- and inter-species interactions is found, which depends on the Raman coupling. The amplitude and velocity of the moving solitons strongly depend on the Raman coupling and spin—orbit coupling.