Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential

doi:10.1088/1674-1056/23/6/060310

中国物理B ›› 2014, Vol. 23 ›› Issue (6): 60310-060310.doi: 10.1088/1674-1056/23/6/060310

Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential

李秋艳, 王双进, 李再东

Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China

收稿日期:2013-09-20 修回日期:2013-11-21 出版日期:2014-06-15 发布日期:2014-06-15
基金资助:
Project supported by the Key Project of the Chinese Ministry of Education (Grant No. 2011015) and the Natural Science Foundation of Hebei Province of China (Grant No. A2012202023).

Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential

Li Qiu-Yan (李秋艳), Wang Shuang-Jin (王双进), Li Zai-Dong (李再东)

Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China

Received:2013-09-20 Revised:2013-11-21 Online:2014-06-15 Published:2014-06-15
Contact: Li Qiu-Yan E-mail:lqy32@live.com
Supported by:
Project supported by the Key Project of the Chinese Ministry of Education (Grant No. 2011015) and the Natural Science Foundation of Hebei Province of China (Grant No. A2012202023).

摘要/Abstract

摘要： We report the analytical nonautonomous soliton solutions (NSSs) for two-component Bose-Einstein condensates with the presence of a time-dependent potential. These solutions show that the time-dependent potential can affect the velocity of NSS. The velocity shows the characteristic of both increasing and oscillation with time. A detailed analysis for the asymptotic behavior of NSSs demonstrates that the collision of two NSSs of each component is elastic.

关键词: nonautonomous soliton solution, interaction, Bose-Einstein condensates

Abstract: We report the analytical nonautonomous soliton solutions (NSSs) for two-component Bose-Einstein condensates with the presence of a time-dependent potential. These solutions show that the time-dependent potential can affect the velocity of NSS. The velocity shows the characteristic of both increasing and oscillation with time. A detailed analysis for the asymptotic behavior of NSSs demonstrates that the collision of two NSSs of each component is elastic.

Key words: nonautonomous soliton solution, interaction, Bose-Einstein condensates

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

03.75.Lm

05.30.Jp (Boson systems)

李秋艳, 王双进, 李再东. Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential[J]. 中国物理B, 2014, 23(6): 60310-060310.

Li Qiu-Yan (李秋艳), Wang Shuang-Jin (王双进), Li Zai-Dong (李再东). Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential[J]. Chin. Phys. B, 2014, 23(6): 60310-060310.

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Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential

Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential

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