Nonautonomous deformed solitons in a Bose-Einstein condensate

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,...

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Published inChinese physics B Vol. 22; no. 9; pp. 335 - 341
Main Author 李泽军 海文华 邓艳
Format Journal Article
LanguageEnglish
Published 01.09.2013
Subjects
Atomic properties
Bose-Einstein condensates
Condensing
Deformation
Deformation effects
Initial conditions
Mathematical analysis
Solitons
Wave functions
中心位置
单孤子解
原子间相互作用
变形
时间变化
爱因斯坦凝聚
玻色
非自治
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/9/090505

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Summary: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.
Bibliography: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.
Li Ze-Jun, Hai Wen-Hua, and Deng Yan（ Department of Physics and Key Laboratory of Low-Dimensional Quantum Structure and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China）
Bose-Einstein condensate, nonautonomous system, deformed soliton
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/9/090505