Dissipative dynamics of dark solitons in elongated Bose--Einstein condensates |
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| Authors: | Tang Zheng-Hu Yan Jia-Ren and Liu Ling-Hong |
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| Affiliation: | Department of Physics, Hunan Normal University, Changsha 410081, China |
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| 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. |
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| Keywords: | dark solitons kink states |
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