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Nonautonomous deformed solitons in a Bose-Einstein condensate |
| Li Ze-Jun (李泽军), Hai Wen-Hua (海文华), Deng Yan (邓艳) |
| Department of Physics and Key Laboratory of Low-Dimensional Quantum Structure and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China |
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Abstract We study exact single-soliton solutions of an attractive Bose-Einstein condensate governed by a one-dimensional nonautonomous Gross-Pitaevskii system. For several different forms of time-dependent atom-atom interaction and external parabolic potential which satisfy the exact integrability scenario, we construct a set of new analytical nonautonomous deformed-soliton solutions, including the macroscopic wave function and the position of soliton’s center of mass. The soliton characteristics are modulated by the external field parameters and deformation factors related to the number of the condensed atoms and the initial conditions. The results suggest a simple and effective method for experimentally generating matter-wave deformed solitons and manipulating their motions.
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Received: 21 January 2013
Revised: 08 April 2013
Accepted manuscript online:
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PACS:
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05.45.Yv
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(Solitons)
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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03.65.Ge
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(Solutions of wave equations: bound states)
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11175064). |
Corresponding Authors:
Hai Wen-Hua
E-mail: whhai2005@yahoo.com.cn
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Cite this article:
Li Ze-Jun (李泽军), Hai Wen-Hua (海文华), Deng Yan (邓艳) Nonautonomous deformed solitons in a Bose-Einstein condensate 2013 Chin. Phys. B 22 090505
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