中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70502-070502.doi: 10.1088/1674-1056/19/7/070502

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Stabilised bright solitons in Bose—Einstein condensates in an expulsive parabolic and complex potential

张涛1, 杨战营1, 赵立臣1, 岳瑞宏2   

  1. (1)Department of Physics, Northwest University, Xi'an 710069, China; (2)Department of Physics, Northwest University, Xi'an 710069, China;Department of Physics, Ningbo University, Ningbo 315211, China
  • 修回日期:2010-02-09 出版日期:2010-07-15 发布日期:2010-07-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10975180).

Stabilised bright solitons in Bose—Einstein condensates in an expulsive parabolic and complex potential

Zhang Tao(张涛)a), Yang Zhan-Ying(杨战营)a), Zhao Li-Chen(赵立臣)a), and Yue Rui-Hong(岳瑞宏)a)b)   

  1. a Department of Physics, Northwest University, Xi'an 710069, China; b Department of Physics, Northwest University, Xi'an 710069, China;Department of Physics, Ningbo University, Ningbo 315211, China
  • Revised:2010-02-09 Online:2010-07-15 Published:2010-07-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10975180).

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摘要： The exact solitonic solutions of the one-dimensional nonlinear Schr?dinger equation, which describes the dynamics of bright soliton in Bose—Einstein condensates with the time-dependent interaction in an expulsive parabolic and complex potential, are obtained by Darboux transformation. The results show that one can compress a bright soliton into an assumed peak of matter wave density by adusting the experimental parameter of the ratio of axial oscillation to radial oscillation or feeding parameter. Especially,when parameters satisfy the relation λ=2γ, the soliton is stable with time evolution without changing its shape and amplitude.

Abstract: The exact solitonic solutions of the one-dimensional nonlinear Schr?dinger equation, which describes the dynamics of bright soliton in Bose—Einstein condensates with the time-dependent interaction in an expulsive parabolic and complex potential, are obtained by Darboux transformation. The results show that one can compress a bright soliton into an assumed peak of matter wave density by adusting the experimental parameter of the ratio of axial oscillation to radial oscillation or feeding parameter. Especially,when parameters satisfy the relation $\lambda=2\gamma$, the soliton is stable with time evolution without changing its shape and amplitude.

Key words: Bose--Einstein condensates, one-dimensional Gross--Pitaevskii equation, bright soliton

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

  • 03.75.Lm
02.30.Hq (Ordinary differential equations) 02.30.Jr (Partial differential equations)