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 ...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.展开更多
基金Project supported by the Research Program of The Hong Kong Polytechnic University (Grant No A-PA2Q)the Scientific and Technological Research Program of Education Department of Hubei Province,China (Grant No Z200722001)
文摘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.
