Motion of a Bose--Einstein Condensate Bright Soliton Incident on a Step-Like Potential
CHENG Yong-Shan1,2, GONG Rong-Zhou1, LI Hong2
1Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan 430074
2Hubei Key Laboratory of Bioanalytical Technique, Hubei Normal University, Huangshi 435002
Motion of a Bose--Einstein Condensate Bright Soliton Incident on a Step-Like Potential
CHENG Yong-Shan1,2;GONG Rong-Zhou1;LI Hong2
1Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan 430074
2Hubei Key Laboratory of Bioanalytical Technique, Hubei Normal University, Huangshi 435002
Abstract： The motion characteristics of a Bose--Einstein condensate bright soliton incident on a local step-like potential barrier are investigated analytically by means of the variational approach. The dynamics of the soliton-potential interaction is studied as well. Then the results are verified by direct numerical simulations of the Gross--Pitaevskii equation. It is found that a moving bright soliton can be reflected from or pass over a step-like potential in a controllable fashion, the critical velocity depends on the width of the soliton and the parameters of the step, and the motion trajectory of the soliton does not depend on its phase. The atom density envelope of the soliton is changed as the result of the interaction between the soliton and the step-like potential.
(Canonical formalism, Lagrangians, and variational principles)
引用本文:
CHENG Yong-Shan;GONG Rong-Zhou;LI Hong. Motion of a Bose--Einstein Condensate Bright Soliton Incident on a Step-Like Potential[J]. 中国物理快报, 2007, 24(1): 35-38.
CHENG Yong-Shan, GONG Rong-Zhou, LI Hong. Motion of a Bose--Einstein Condensate Bright Soliton Incident on a Step-Like Potential. Chin. Phys. Lett., 2007, 24(1): 35-38.
2007, Vol. 24 
