Dark Soliton of a Growing Bose--Einstein Condensate in an External Trap
LI Hong1,2, WANG D. N.3
1Hubei Key Laboratory of Bioanalytical Technique, Hubei Normal University, Huangshi 4350022School of Mechanical and Electronic Engineering, Huangshi Institute of Technology, Huangshi 4350033Department of Electrical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
Dark Soliton of a Growing Bose--Einstein Condensate in an External Trap
LI Hong1,2, WANG D. N.3
1Hubei Key Laboratory of Bioanalytical Technique, Hubei Normal University, Huangshi 4350022School of Mechanical and Electronic Engineering, Huangshi Institute of Technology, Huangshi 4350033Department of Electrical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
摘要The dynamics of dark soliton in a growing Bose--Einstein condensate with an external magnetic trap are investigated by the variational approach based on the renormalized integrals of motion. The stationary states as physical solutions to the describing equation are obtained, and the evolution of the dark soliton is numerically simulated. The numerical results confirm the theoretical analysis and show that the dynamics depend strictly on the initial condition, the gain coefficient and the external potential.
Abstract：The dynamics of dark soliton in a growing Bose--Einstein condensate with an external magnetic trap are investigated by the variational approach based on the renormalized integrals of motion. The stationary states as physical solutions to the describing equation are obtained, and the evolution of the dark soliton is numerically simulated. The numerical results confirm the theoretical analysis and show that the dynamics depend strictly on the initial condition, the gain coefficient and the external potential.
LI Hong;WANG D. N.. Dark Soliton of a Growing Bose--Einstein Condensate in an External Trap[J]. 中国物理快报, 2008, 25(11): 3864-3866.
LI Hong, WANG D. N.. Dark Soliton of a Growing Bose--Einstein Condensate in an External Trap. Chin. Phys. Lett., 2008, 25(11): 3864-3866.
[1] Anderson M H et al 1995 Science 269 198 [2] Wu Y, Yang X and Sun C 2000 Phys. Rev. A 62 063603 [3] Wu B, Liu J and Niu Q 2002 Phys. Rev. Lett. 88 034101 [4] Ohberg P and Santos L 2001 Phys. Rev. Lett. 86 2918 [5] Cheng Y, Gong R and Li H 2006 Optics Express 14 3594 [6] Li H et al 2005 J. Low Temp. Phys. 140 11 [7] Li H, Cheng Y and Huang D 2006 Opt. Commun. 258 306 [8] Li H et al 2007 Chaos, Solitons {\& Fractals 33 1592 [9] Busch T and Anglin J R 2001 Phys. Rev. Lett. 87 010401 [10] Kivshar Y S et al 1995 Opt. Commun. 114 353 [11] Yuce C and Kilic A 2006 Phys. Rev. A 74 033609 [12] Theocharis G et al 2005 Phys. Rev. A 72 023609
2008, Vol. 25 
