中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2659-2666.doi: 10.1088/1674-1056/18/7/007

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Effects of localized impurity on a dark soliton in a Bose--Einstein condensate with an external magnetic trap

王东宁1, 李宏2   

  1. (1)Department of Electrical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China; (2)School of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China;School of Mechanical and Electronic Engineering, Huangshi Institute of Technology, Huangshi 435003, China
  • 收稿日期:2009-01-11 修回日期:2009-01-31 出版日期:2009-07-20 发布日期:2009-07-20
  • 基金资助:
    Project supported by the Research Program of The Hong Kong Polytechnic University (Grant No A-PA2Q), and the Scientific and Technological Research Program of Education Department of Hubei Province, China (Grant No Z200722001).

Effects of localized impurity on a dark soliton in a Bose--Einstein condensate with an external magnetic trap

Li Hong(李宏)a)b)†, and Wang Dong-Ning(王东宁)c)   

  1. a School of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China; b School of Mechanical and Electronic Engineering, Huangshi Institute of Technology, Huangshi 435003, China; c Department of Electrical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China
  • Received:2009-01-11 Revised:2009-01-31 Online:2009-07-20 Published:2009-07-20
  • Supported by:
    Project supported by the Research Program of The Hong Kong Polytechnic University (Grant No A-PA2Q), and the Scientific and Technological Research Program of Education Department of Hubei Province, China (Grant No Z200722001).

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摘要： The dynamics of a dark soliton has been investigated in a Bose--Einstein condensate with an external magnetic trap, and the effects of localized impurity on the dynamics are discussed by the variational approach based on the renormalized integrals of motion. The reciprocal movement of the dark soliton is discussed by performing a standard linear analysis, and it is found that the effects of the localized impurity depend strictly on the positive or negative value of the impurity strength corresponding to the repulsive or attractive impurity. The numerical results confirm the theoretical analysis, and show that the effects also depend on the effective nonlinear coefficient and the harmonic frequency.

Abstract: The dynamics of a dark soliton has been investigated in a Bose--Einstein condensate with an external magnetic trap, and the effects of localized impurity on the dynamics are discussed by the variational approach based on the renormalized integrals of motion. The reciprocal movement of the dark soliton is discussed by performing a standard linear analysis, and it is found that the effects of the localized impurity depend strictly on the positive or negative value of the impurity strength corresponding to the repulsive or attractive impurity. The numerical results confirm the theoretical analysis, and show that the effects also depend on the effective nonlinear coefficient and the harmonic frequency.

Key words: Bose--Einstein condensate, dark soliton, the variational approach, impurity

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

  • 03.75.Lm
37.10.De (Atom cooling methods)