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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 |
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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.
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Received: 02 June 2009
Revised: 03 July 2009
Accepted manuscript online:
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PACS:
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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02.30.Jr
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(Partial differential equations)
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05.45.Yv
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(Solitons)
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| Fund: Projects supported by the National
Natural Science Foundation of China (Grant Nos. 10775049 and
10375022). |
Cite this article:
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 2010 Chin. Phys. B 19 010304
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