Effects of localized impurity on a dark soliton in a Bose--Einstein condensate with an external magnetic trap |
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Authors: | Li Hong and Wang Dong-Ning |
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Institution: | 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; Department of Electrical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China |
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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. |
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Keywords: | Bose--Einstein condensate dark soliton the variational approach impurity |
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