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)
aDepartment of Physics & Institute for Nanophysics and Rare-earth Luminescence, Xiangtan University, Xiangtan 411105, China; bCollege of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
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).
Received: 11 October 2008
Revised: 13 November 2008
Accepted manuscript online:
PACS:
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
Fund: 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
Cite this article:
Wang Feng-Jiao(王凤姣), Ding Jian-Wen(丁建文), Yan Xiao-Hong(颜晓红), and Wang Deng-Long(王登龙) Gain/loss effect on a bright solitary wave in a cigar-shaped attractive condensate in the presence of an expulsive parabolic potential 2009 Chin. Phys. B 18 1737
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