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)
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
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.
Received: 11 January 2009
Revised: 31 January 2009
Accepted manuscript online:
PACS:
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
Fund: 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).
Cite this article:
Li Hong(李宏), and Wang Dong-Ning(王东宁) Effects of localized impurity on a dark soliton in a Bose--Einstein condensate with an external magnetic trap 2009 Chin. Phys. B 18 2659
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