中国物理B ›› 2022, Vol. 31 ›› Issue (7): 70306-070306.doi: 10.1088/1674-1056/ac538e

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Gap solitons of spin-orbit-coupled Bose-Einstein condensates in $\mathcal{PT}$ periodic potential

S Wang(王双)1, Y H Liu(刘元慧)2, and T F Xu(徐天赋)1,†   

  1. 1 Hebei Key Laboratory of Microstructural Material Physics, School of Science, Yanshan University, Qinhuangdao 066004, China;
    2 School of Science, Yanshan University, Qinhuangdao 066004, China
  • 收稿日期:2021-11-17 修回日期:2022-01-25 接受日期:2022-02-10 出版日期:2022-06-09 发布日期:2022-06-09
  • 通讯作者: T F Xu E-mail:tfxu@ysu.edu.cn
  • 基金资助:
    This work is supported by Science and Technology Project of Hebei Education Department, China (Grant No. ZD2020200).

Gap solitons of spin-orbit-coupled Bose-Einstein condensates in $\mathcal{PT}$ periodic potential

S Wang(王双)1, Y H Liu(刘元慧)2, and T F Xu(徐天赋)1,†   

  1. 1 Hebei Key Laboratory of Microstructural Material Physics, School of Science, Yanshan University, Qinhuangdao 066004, China;
    2 School of Science, Yanshan University, Qinhuangdao 066004, China
  • Received:2021-11-17 Revised:2022-01-25 Accepted:2022-02-10 Online:2022-06-09 Published:2022-06-09
  • Contact: T F Xu E-mail:tfxu@ysu.edu.cn
  • Supported by:
    This work is supported by Science and Technology Project of Hebei Education Department, China (Grant No. ZD2020200).

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摘要： We numerically investigate the gap solitons in Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) in the parity-time ($\mathcal{PT}$)-symmetric periodic potential. We find that the depths and periods of the imaginary lattice have an important influence on the shape and stability of these single-peak gap solitons and double-peak gap solitons in the first band gap. The dynamics of these gap solitons are checked by the split-time-step Crank-Nicolson method. It is proved that the depths of the imaginary part of the $\mathcal{PT}$-symmetric periodic potential gradually increase, and the gap solitons become unstable. But the different periods of imaginary part hardly affect the stability of the gap solitons in the corresponding parameter interval.

关键词: gap solitons, spin-orbit coupling, $\mathcal{PT}$-symmetric periodic potential

Abstract: We numerically investigate the gap solitons in Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) in the parity-time ($\mathcal{PT}$)-symmetric periodic potential. We find that the depths and periods of the imaginary lattice have an important influence on the shape and stability of these single-peak gap solitons and double-peak gap solitons in the first band gap. The dynamics of these gap solitons are checked by the split-time-step Crank-Nicolson method. It is proved that the depths of the imaginary part of the $\mathcal{PT}$-symmetric periodic potential gradually increase, and the gap solitons become unstable. But the different periods of imaginary part hardly affect the stability of the gap solitons in the corresponding parameter interval.

Key words: gap solitons, spin-orbit coupling, $\mathcal{PT}$-symmetric periodic potential

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

  • 03.75.Lm
67.85.-d (Ultracold gases, trapped gases) 75.70.Tj (Spin-orbit effects)