中国物理B ›› 2006, Vol. 15 ›› Issue (9): 1947-1952.doi: 10.1088/1009-1963/15/9/008

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Dissipative dynamics of dark solitons in elongated Bose--Einstein condensates

唐政华, 颜家壬, 刘凌虹   

  1. Department of Physics, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2005-07-13 修回日期:2006-05-16 出版日期:2006-09-20 发布日期:2006-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10375022) and Scientific Research Fund of Hunan Provincial Education Department of China (Grant No 05C414).

Dissipative dynamics of dark solitons in elongated Bose--Einstein condensates

Tang Zheng-Hua(唐政华), Yan Jia-Ren(颜家壬)†, and Liu Ling-Hong(刘凌虹)   

  1. Department of Physics, Hunan Normal University, Changsha 410081, China
  • Received:2005-07-13 Revised:2006-05-16 Online:2006-09-20 Published:2006-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10375022) and Scientific Research Fund of Hunan Provincial Education Department of China (Grant No 05C414).

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摘要： The dissipative dynamic stability is investigated of dark solitons in elongated Bose--Einstein condensates that can be described by the Gross--Pitaevskii equation including an additional term. Based on the direct perturbation theory for the nonlinear Schr?dinger equation, the dependence of the soliton velocity on time is explicitly given, and the shape of dark solitons remaining unchanged under the dissipative condition is confirmed theoretically for the first time. It is found that the dynamically stable dark solitons turn out to be thermodynamically unstable.

关键词: dark solitons, kink states

Abstract: The dissipative dynamic stability is investigated of dark solitons in elongated Bose--Einstein condensates that can be described by the Gross--Pitaevskii equation including an additional term. Based on the direct perturbation theory for the nonlinear Schr?dinger equation, the dependence of the soliton velocity on time is explicitly given, and the shape of dark solitons remaining unchanged under the dissipative condition is confirmed theoretically for the first time. It is found that the dynamically stable dark solitons turn out to be thermodynamically unstable.

Key words: dark solitons, kink states

中图分类号:  (General theory of classical mechanics of discrete systems)

  • 45.05.+x