Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length

doi:10.1088/1009-1963/15/10/005

中国物理B ›› 2006, Vol. 15 ›› Issue (10): 2216-2222.doi: 10.1088/1009-1963/15/10/005

Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length

李画眉

Department of Physics, Zhejiang Normal University,Jinhua 321004, China

收稿日期:2005-11-24 修回日期:2006-06-02 出版日期:2006-10-20 发布日期:2006-10-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos 1057508 and 10302018), the Natural Science Foundation of Zhejiang Province, China (Grant No Y605056).

Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length

Li Hua-Mei(李画眉)^†

Department of Physics, Zhejiang Normal University,Jinhua 321004, China

Received:2005-11-24 Revised:2006-06-02 Online:2006-10-20 Published:2006-10-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos 1057508 and 10302018), the Natural Science Foundation of Zhejiang Province, China (Grant No Y605056).

摘要/Abstract

摘要： The evolution of solitons in Bose--Einstein condensates (BECs) with time-dependent atomic scattering length in an expulsive parabolic potential is studied. Based on the extended hyperbolic function method, we successfully obtain the bright and dark soliton solutions. In addition, some new soliton solutions in this model are found. The results in this paper include some in the literature ({\em Phys. Rev. Lett.} {\bf 94} (2005) 050402 and {\em Chin. Phys. Lett.} {\bf 22} (2005) 1855).

关键词: Gross--Pitaevskii equation, soliton solution, time-dependent atomic scattering length, extended hyperbolic function method

Abstract: The evolution of solitons in Bose--Einstein condensates (BECs) with time-dependent atomic scattering length in an expulsive parabolic potential is studied. Based on the extended hyperbolic function method, we successfully obtain the bright and dark soliton solutions. In addition, some new soliton solutions in this model are found. The results in this paper include some in the literature (Phys. Rev. Lett. 94 (2005) 050402 and Chin. Phys. Lett. 22 (2005) 1855).

Key words: Gross--Pitaevskii equation, soliton solution, time-dependent atomic scattering length, extended hyperbolic function method

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

03.75.Lm

02.30.Jr (Partial differential equations)

李画眉. Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length[J]. 中国物理B, 2006, 15(10): 2216-2222.

Li Hua-Mei(李画眉). Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length[J]. Chinese Physics, 2006, 15(10): 2216-2222.

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Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length

Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length

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