Shu-Wei Song, Yi-Cai Zhang, Lin Wen, Hanquan Wang, Qing Sun, A. C. Ji, W. M. Liu
We analytically and numerically investigate the ground state of the spin-1 Bose-Einstein condensate (BEC) in external parabolic potential with spin-orbit coupling strength $\kappa\sim1$. For plane wave (PW) phase and standing wave (SW) phase, the density distribution centers of different components of the spinor condensate do not keep themselves at the trap center any longer. The magnitude of this deviation decreases as the spin-orbit coupling coefficient $\kappa$ is getting larger and larger when $\kappa\gg1$. Corresponding to this deviation, periphery spin vortices textures arise. This deviation can be reflected by the non-uniform magnetic moment in the $z$ direction, $\mathcal{F}_z$. With the manipulation of the external trap, local magnitude of $\mathcal{F}_z$ increases evidently. This kind of increase of $\mathcal{F}_z$ is also observed in the square lattice phase of the condensate.
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http://arxiv.org/abs/1208.5591
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