中国物理B ›› 2021, Vol. 30 ›› Issue (3): 30302-.doi: 10.1088/1674-1056/abc53e

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  • 收稿日期:2020-08-07 修回日期:2020-10-01 接受日期:2020-10-28 出版日期:2021-02-22 发布日期:2021-03-05

Spin-orbit-coupled spin-1 Bose-Einstein condensates confined in radially periodic potential

Ji Li(李吉)1, Tianchen He(何天琛)1,†, Jing Bai(白晶)1, Bin Liu(刘斌)2, and Huan-Yu Wang(王寰宇)3   

  1. 1 Department of Physics, Taiyuan Normal University, Jinzhong 030619, China; 2 Basic Teaching Department, Shanxi Institute of Energy, Jinzhong 030600, China; 3 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2020-08-07 Revised:2020-10-01 Accepted:2020-10-28 Online:2021-02-22 Published:2021-03-05
  • Contact: †Corresponding author. E-mail: tywlxdh@qq.com
  • Supported by:
    Project supported by the Scientific and Technologial Innovation Program of the Higher Education Institutions in Shanxi Province, China (Grant Nos. 2019L0813, 2019L0785, and 2019L0808).

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Abstract: We investigate the ground states of spin-1 Bose-Einstein condensates (BECs) with spin-orbit coupling in a radially periodic potential by numerically solving the coupled Gross-Pitaevskii equations. In the radially periodic potential, we first demonstrate that spin-orbit-coupled antiferromagnetic BECs support a multiring petal phase. Polar-core vortex can be observed from phase profiles, which is manifested as circularly symmetric distribution. We further show that spin-orbit coupling can induce multiring soliton structure in ferromagnetic BECs. It is confirmed especially that the wave-function phase of the ring corresponding to uniform distribution satisfies the rotational symmetry, and the wave-function phase of the ring corresponding to partial splitting breaks the rotational symmetry. Adjusting the spin-orbit coupling strength can control the number of petal in antiferromagnetic BECs and the winding numbers of wave-function in ferromagnetic BECs. Finally, we discuss effects of spin-independent and spin-dependent interactions on the ground states.

Key words: the spinor Bose-Einstein condensates, spin-orbit coupling, radially periodic potential

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
03.75.Mn (Multicomponent condensates; spinor condensates) 67.85.Fg (Multicomponent condensates; spinor condensates) 67.85.Hj (Bose-Einstein condensates in optical potentials)