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Vortex lattices in a spin-orbit coupled binary Bose-Einstein condensates with dipolar interaction

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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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Availability of data and material

The datasets used or analysed during the current study are available from the corresponding author on reasonable request.

Code Availability

Custom code is written by Fortran language. Some or all data generated or used during the study are available from the corresponding author by request.

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Acknowledgments

This work is supported by the Ph.D. Start-up Fund (Grant No. BS2017096) of North China University of Science and Technology.

Funding

Ph.D. Start-up Fund (Grant No. BS2017096) of North China University of Science and Technology

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Authors and Affiliations

  1. Department of Applied Physics, North China University of Science and Technology, Tangshan, 063210, China

    Qiang Zhao

  2. Department of Computer Science, Tangshan Normal University, Tangshan, 063000, China

    Hongjing Bi

Authors
  1. Qiang Zhao
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  2. Hongjing Bi
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Contributions

All authors have made substantial intellectual contributions to the research work. Q. Z. conceived the idea of the paper; H. J. B. performed the numerical simulations and prepared the data. Q. Z. supervised the numerical simulations work. All authors contributed to the writing of the manuscript.

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Correspondence to Qiang Zhao.

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Zhao, Q., Bi, H. Vortex lattices in a spin-orbit coupled binary Bose-Einstein condensates with dipolar interaction. Int J Theor Phys 60, 1603–1610 (2021). https://doi.org/10.1007/s10773-021-04783-3

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  • DOI: https://doi.org/10.1007/s10773-021-04783-3

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