Abstract

We consider the stationary state of a spin-orbit coupled (SOC) binary Bose-Einstein condensates with dipole-dipole interaction (DDI). Our results are obtained by numerically solving the Gross-Pitaevskii equation. It shows that the vortex structures is greatly affected by the polarization angle and SOC strength. For full repulsive interaction and small SOC strength, the spatial symmetry is well kept. Meanwhile, the dual-ring vortex chain is found at large SOC strength. For anisotropic DDI, we find that the spatial symmetry is broken when the SOC strength is very small. Nevertheless, the annular vortex chain also occurs with the increasing of SOC strength. At last, we analyze the variation of vortex number in quantitative terms, showing that the polarization angle has an important effect on vortex number.

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