Stabilised bright solitons in Bose—Einstein condensates in an expulsive parabolic and complex potential
Zhang Tao(张涛)a), Yang Zhan-Ying(杨战营)a), Zhao Li-Chen(赵立臣)a), and Yue Rui-Hong(岳瑞宏)a)b)
a Department of Physics, Northwest University, Xi'an 710069, China; b Department of Physics, Northwest University, Xi'an 710069, China;Department of Physics, Ningbo University, Ningbo 315211, China
Abstract The exact solitonic solutions of the one-dimensional nonlinear Schr?dinger equation, which describes the dynamics of bright soliton in Bose—Einstein condensates with the time-dependent interaction in an expulsive parabolic and complex potential, are obtained by Darboux transformation. The results show that one can compress a bright soliton into an assumed peak of matter wave density by adusting the experimental parameter of the ratio of axial oscillation to radial oscillation or feeding parameter. Especially,when parameters satisfy the relation $\lambda=2\gamma$, the soliton is stable with time evolution without changing its shape and amplitude.
Revised: 09 February 2010
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 National Natural Science Foundation of China (Grant No. 10975180).
Cite this article:
Zhang Tao(张涛), Yang Zhan-Ying(杨战营), Zhao Li-Chen(赵立臣), and Yue Rui-Hong(岳瑞宏) Stabilised bright solitons in Bose—Einstein condensates in an expulsive parabolic and complex potential 2010 Chin. Phys. B 19 070502
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