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.
Received: 13 July 2005
Revised: 16 May 2006
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: 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).
Cite this article:
Tang Zheng-Hua(唐政华), Yan Jia-Ren(颜家壬), and Liu Ling-Hong(刘凌虹) Dissipative dynamics of dark solitons in elongated Bose--Einstein condensates 2006 Chinese Physics 15 1947
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