Formation of combined solitons in two-component Bose–Einstein condensates

doi:10.1088/1674-1056/19/8/080501

Abstract We investigate the combined soliton solutions of two-component Bose–Einstein condensates with external potential. The ''phase diagram'' is obtained for the formation regions of different combined solitons. Our results show that the intraspecies (interspecies) interaction strengths and the external trapped potential clearly affect the formation of dark–dark, bright–bright, and dark–bright soliton solutions in different regions. Especially, we find that the bright–bright (dark–dark) soliton can exist in the case of both repulsive (attractive) intraspecies interaction strengths in the presence of external potential. This novel phenomenon is completely different from the formation of soliton solution of one-component Bose–Einstein condensates without external potential, and it will be useful for the study of two-component Bose–Einstein condensates.

Keywords: Bose–Einstein condensates combined solitons

Received: 24 October 2009
Revised: 15 March 2010
Accepted manuscript online:

PACS:

03.75.Lm

(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

Fund: Project supported by the Hundred Innovation Talents Supporting Fund of Hebei Province of China, the Natural Science Foundation of Hebei Province of China (Grant No. A2008000006), and the Natural Science Foundation of Shanxi Province of China (Grant No. 2007011007).

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Li Qiu-Yan(李秋艳), Li Zai-Dong(李再东), Yao Shu-Fang(姚淑芳), Li Lu(李禄), and Fu Guang-Sheng(傅广生) Formation of combined solitons in two-component Bose–Einstein condensates 2010 Chin. Phys. B 19 080501

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