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

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

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.

Keywords: nonautonomous soliton solution interaction Bose-Einstein condensates

Received: 20 September 2013
Revised: 21 November 2013
Accepted manuscript online:

PACS:	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	05.30.Jp	(Boson systems)

Fund: 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).

Corresponding Authors: Li Qiu-Yan
E-mail: lqy32@live.com

Cite this article:

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 2014 Chin. Phys. B 23 060310

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

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