中国物理B ›› 2008, Vol. 17 ›› Issue (10): 3640-3643.doi: 10.1088/1674-1056/17/10/018

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Controlling the amplitude of soliton in agrowing Bose--Einstein condensate by means of Feshbach resonance

何章明, 王登龙, 张蔚曦, 王凤姣, 丁建文   

  1. Department of Physics and Key Laboratory of Low Dimensional Materials & Application Technology of Ministry of Education, Xiangtan University, Xiangtan 411105, China
  • 收稿日期:2008-02-04 修回日期:2008-02-27 出版日期:2008-10-20 发布日期:2008-10-20
  • 基金资助:
    Project supported by the NSF of China (Grant No 10674113), the Program for NCET in University (Grant No NCET-06-0707), the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No 200726), and the NSF of Hunan Province, China (Grant No 06JJ50006).

Controlling the amplitude of soliton in agrowing Bose--Einstein condensate by means of Feshbach resonance

He Zhang-Ming(何章明), Wang Deng-Long(王登龙)†, Zhang Wei-Xi(张蔚曦), Wang Feng-Jiao(王凤姣), and Ding Jian-Wen(丁建文)   

  1. Department of Physics and Key Laboratory of Low Dimensional Materials & Application Technology of Ministry of Education, Xiangtan University, Xiangtan 411105, China
  • Received:2008-02-04 Revised:2008-02-27 Online:2008-10-20 Published:2008-10-20
  • Supported by:
    Project supported by the NSF of China (Grant No 10674113), the Program for NCET in University (Grant No NCET-06-0707), the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No 200726), and the NSF of Hunan Province, China (Grant No 06JJ50006).

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摘要： By using Darboux transformation, this paper studies analytically the nonlinear dynamics of a one-dimensional growing Bose--Einstein condensate (BEC). It is shown that the growing model has an important effect on the amplitude of the soliton in the condensates. In the absence of the growing model, there exhibits the stable alternate bright solitons in the condensates. In the presence of the growing model, the obtained results show that the amplitude of the bright soliton decreases (increases) for the BEC growing coefficient $\Om<0$ $(\Om >0)$. Furthermore, we propose experimental protocols to manipulate the amplitude of the bright soliton by varying the scattering length via the Feshbach resonance in the future experiment.

关键词: Feshbach resonance, Bose--Einstein condensate, bright soliton

Abstract: By using Darboux transformation, this paper studies analytically the nonlinear dynamics of a one-dimensional growing Bose--Einstein condensate (BEC). It is shown that the growing model has an important effect on the amplitude of the soliton in the condensates. In the absence of the growing model, there exhibits the stable alternate bright solitons in the condensates. In the presence of the growing model, the obtained results show that the amplitude of the bright soliton decreases (increases) for the BEC growing coefficient $\varOmega<0$ $(\varOmega >0)$. Furthermore, we propose experimental protocols to manipulate the amplitude of the bright soliton by varying the scattering length via the Feshbach resonance in the future experiment.

Key words: Feshbach resonance, Bose--Einstein condensate, bright soliton

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
05.45.Yv (Solitons)