中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1737-1741.doi: 10.1088/1674-1056/18/5/004

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Gain/loss effect on bright solitary wave in a cigar-shaped attractive condensate in the presence of expulsive parabolic potential

颜晓红1, 王凤姣2, 丁建文2, 王登龙2   

  1. (1)College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; (2)Department of Physics {& Institute for Nanophysics and Rare-earth Luminescence, Xiangtan University, Xiangtan 411105, China
  • 收稿日期:2008-10-11 修回日期:2008-11-13 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10674070 and 10674113), the Program for New Century Excellent Talents in University of China (NCET-06-0707), the Foundation for the Author of National Excellent Doctoral Diss

Gain/loss effect on a bright solitary wave in a cigar-shaped attractive condensate in the presence of an expulsive parabolic potential

Wang Feng-Jiao(王凤姣)a), Ding Jian-Wen(丁建文)a), Yan Xiao-Hong(颜晓红)b), and Wang Deng-Long(王登龙)a)   

  1. a Department of Physics & Institute for Nanophysics and Rare-earth Luminescence, Xiangtan University, Xiangtan 411105, China; b College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2008-10-11 Revised:2008-11-13 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10674070 and 10674113), the Program for New Century Excellent Talents in University of China (NCET-06-0707), the Foundation for the Author of National Excellent Doctoral Diss

摘要: Taking into account both gain/loss and time-dependent atomic scattering length, this paper analytically derives an exact bright solitary wave in a cigar-shaped attractive condensate in the presence of an expulsive parabolic potential. Due to the balance of the scattering length and gain/loss, the bright solitary wave is shown to have constant amplitude. Especially, it is found that the bright solitary wave is accelerated by expulsive force, whose velocity can be modulated by changing the axial and transverse angular frequencies. The results are in good agreement with the experimental observations by Khaykovich et al (2002 Science 296 1290).

关键词: Bose--Einstein condensate, bright solitary wave, gain/loss

Abstract: Taking into account both gain/loss and time-dependent atomic scattering length, this paper analytically derives an exact bright solitary wave in a cigar-shaped attractive condensate in the presence of an expulsive parabolic potential. Due to the balance of the scattering length and gain/loss, the bright solitary wave is shown to have constant amplitude. Especially, it is found that the bright solitary wave is accelerated by expulsive force, whose velocity can be modulated by changing the axial and transverse angular frequencies. The results are in good agreement with the experimental observations by Khaykovich et al (2002 Science 296 1290).

Key words: Bose--Einstein condensate, bright solitary wave, gain/loss

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

  • 03.75.Lm
03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)