Dynamic stability and manipulation of bright matter-wave solitons by optical lattices in Bose–Einstein condensates

doi:10.1088/1674-1056/21/2/020306

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20306-020306.doi: 10.1088/1674-1056/21/2/020306

宋昌盛,黎菁,宗丰德

收稿日期:2011-06-09 修回日期:2011-08-10 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 宗丰德,fdzong@zjnu.cn E-mail:fdzong@zjnu.cn

Dynamic stability and manipulation of bright matter-wave solitons by optical lattices in Bose–Einstein condensates

Song Chang-Sheng(宋昌盛), Li Jing(黎菁), and Zong Feng-De(宗丰德)^†

Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China

Received:2011-06-09 Revised:2011-08-10 Online:2012-01-30 Published:2012-01-30
Contact: Zong Feng-De,fdzong@zjnu.cn E-mail:fdzong@zjnu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10672147 and 11072219), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. Y605312 and Y1080959), and the Foundation of Department of Education of Zhejiang Province, China (Grant No. 20030704).

摘要/Abstract

Abstract: An extended variation approach to describing the dynamic evolution of self-attractive Bose-Einstein condensates is developed. We consider bright matter-wave solitons in the presence of a parabolic magnetic potential and a time-space periodic optical lattice. The dynamics of condensates is shown to be well approximated by four coupled nonlinear differential equations. A noteworthy feature is that the extended variation approach gives a critical strength ratio to support multiple stable lattice sites for the condensate. We further examine the existence of the solitons and their stabilities at the multiple stable lattice sites. In this case, the analytical predictions of Bose-Einstein condensates variational dynamics are found to be in good agreement with numerical simulations. We then find a stable region for successful manipulating matter-wave solitons without collapse, which are dragged from an initial stationary to a prescribed position by a moving periodic optical lattice.

Key words: Bose-Einstein condensates, Gross-Pitaevskii equation, matter-wave solitons, controlled manipulation

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

03.75.Lm

05.45.Yv (Solitons) 42.65.Tg (Optical solitons; nonlinear guided waves)

宋昌盛, 黎菁, 宗丰德. [J]. 中国物理B, 2012, 21(2): 20306-020306.

Song Chang-Sheng(宋昌盛), Li Jing(黎菁), and Zong Feng-De(宗丰德) . Dynamic stability and manipulation of bright matter-wave solitons by optical lattices in Bose–Einstein condensates[J]. Chin. Phys. B, 2012, 21(2): 20306-020306.

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Dynamic stability and manipulation of bright matter-wave solitons by optical lattices in Bose–Einstein condensates

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