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Gap solitons of spin–orbit-coupled Bose–Einstein condensates in a Jacobian elliptic sine potential

Author

Listed:
  • Wang, Qingqing
  • Tu, Pu
  • Ma, Jinping
  • Shao, Kaihua
  • Zhao, Xi
  • Xi, Baolong
  • Shi, Yuren

Abstract

Gap solitons of quasi-one-dimensional Bose–Einstein condensate loaded in a Jacobian elliptic sine potential with spin–orbit-coupled are investigated theoretically. Under the mean-field approximation, the dynamical behaviors of such a system are described using the Gross–Pitaevskii equation (GPE). Firstly, we linearize the GPE to obtain the band-gap structures. Secondly, the Newton-Conjugate-Gradient (NCG) method is used to search for gap solitons. Thirdly, the dynamic stability of the gap solitons obtained by the NCG method was investigated using linear stability analysis and nonlinear dynamic evolution methods. It is found that in this nonlinear system, there exist both stable gap solitons and structurally rich unstable gap solitons. The external potential modulus and the strength of the spin–orbit coupling are important parameters that influence the stability of the gap solitons.

Suggested Citation

  • Wang, Qingqing & Tu, Pu & Ma, Jinping & Shao, Kaihua & Zhao, Xi & Xi, Baolong & Shi, Yuren, 2024. "Gap solitons of spin–orbit-coupled Bose–Einstein condensates in a Jacobian elliptic sine potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 651(C).
    • Handle: RePEc:eee:phsmap:v:651:y:2024:i:c:s0378437124005284
    DOI: 10.1016/j.physa.2024.130019
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