Dynamics of vector solitons in two-component Bose--Einstein condensates with time-dependent interactions and harmonic potential

doi:10.1088/1674-1056/19/1/010304

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10304-010304.doi: 10.1088/1674-1056/19/1/010304

Dynamics of vector solitons in two-component Bose--Einstein condensates with time-dependent interactions and harmonic potential

周政, 俞慧友, 颜家壬

College of Physics and Information Science, Hunan Normal University, Changsha 410081, China

收稿日期:2009-06-02 修回日期:2009-07-03 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
Projects supported by the National Natural Science Foundation of China (Grant Nos. 10775049 and 10375022).

Dynamics of vector solitons in two-component Bose--Einstein condensates with time-dependent interactions and harmonic potential

Zhou Zheng(周政), Yu Hui-You(俞慧友), and Yan Jia-Ren(颜家壬)^†

College of Physics and Information Science, Hunan Normal University, Changsha 410081, China

Received:2009-06-02 Revised:2009-07-03 Online:2010-01-15 Published:2010-01-15
Supported by:
Projects supported by the National Natural Science Foundation of China (Grant Nos. 10775049 and 10375022).

摘要/Abstract

摘要： We present two kinds of exact vector-soliton solutions for coupled nonlinear Schr?dinger equations with time-varying interactions and time-varying harmonic potential. Using the variational approach, we investigate the dynamics of the vector solitons. It is found that the two bright solitons oscillate about slightly and pass through each other around the equilibration state which means that they are stable under our model. At the same time, we obtain the opposite situation for dark--dark solitons.

Abstract: We present two kinds of exact vector-soliton solutions for coupled nonlinear Schr?dinger equations with time-varying interactions and time-varying harmonic potential. Using the variational approach, we investigate the dynamics of the vector solitons. It is found that the two bright solitons oscillate about slightly and pass through each other around the equilibration state which means that they are stable under our model. At the same time, we obtain the opposite situation for dark--dark solitons.

Key words: two-component Bose--Einstein condensates, vector solitons, the variational approach

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

03.75.Lm

02.30.Jr (Partial differential equations) 05.45.Yv (Solitons)

周政, 俞慧友, 颜家壬. Dynamics of vector solitons in two-component Bose--Einstein condensates with time-dependent interactions and harmonic potential[J]. 中国物理B, 2010, 19(1): 10304-010304.

Zhou Zheng(周政), Yu Hui-You(俞慧友), and Yan Jia-Ren(颜家壬) . Dynamics of vector solitons in two-component Bose--Einstein condensates with time-dependent interactions and harmonic potential[J]. Chin. Phys. B, 2010, 19(1): 10304-010304.

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Dynamics of vector solitons in two-component Bose--Einstein condensates with time-dependent interactions and harmonic potential

Dynamics of vector solitons in two-component Bose--Einstein condensates with time-dependent interactions and harmonic potential

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