| Stabilised bright solitons in Bose-Einstein condensates in an expulsive parabolic and complex potential |
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| 作者姓名： | 张涛 杨战营 赵立臣 岳瑞宏 |
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| 作者单位： | (1)Department of Physics, Northwest University, Xi'an 710069, China; (2)Department of Physics, Northwest University, Xi'an 710069, China;Department of Physics, Ningbo University, Ningbo 315211, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No. 10975180). |
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| 摘 要： | 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 λ=2γ, the
soliton is stable with time evolution without changing its shape and amplitude.
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| 关 键 词： | Bose-Einstein condensates one-dimensional Gross-Pitaevskii equation bright soliton |
| 修稿时间： | 2/9/2010 12:00:00 AM |
Stabilised bright solitons in Bose—Einstein condensates in an expulsive parabolic and complex potential |
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| Zhang Tao,Yang Zhan-Ying,Zhao Li-Chen and Yue Rui-Hong.Stabilised bright solitons in Bose-Einstein condensates in an expulsive parabolic and complex potential[J].Chinese Physics B,2010,19(7):70502-070502. |
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| Authors: | Zhang Tao Yang Zhan-Ying Zhao Li-Chen and Yue Rui-Hong |
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| Institution: | Department of Physics, Northwest University, Xi'an 710069, China; Department of Physics, Northwest University, Xi'an 710069, China;Department of Physics, Ningbo University, Ningbo 315211, China |
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| 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. |
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| Keywords: | Bose--Einstein condensates one-dimensional Gross--Pitaevskii equation bright soliton |
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