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Dynamics of Bright/Dark Solitons in Bose--Einstein Condensates with Time-Dependent Scattering Length and External Potential |
| ZHANG Ai-Xia;XUE Ju-Kui |
| Physics and Electronics Engineering College, Northwest Normal University, Lanzhou 730070 |
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| Cite this article: |
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ZHANG Ai-Xia, XUE Ju-Kui 2008 Chin. Phys. Lett. 25 39-41 |
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Abstract We present an analytical study on the dynamics of bright and dark solitons in Bose--Einstein condensates with time-varying atomic scattering length in a time-varying external parabolic potential. A set of exact soliton solutions of
the one-dimensional Gross--Pitaevskii equation are obtained, including fundamental bright solitons, higher-order bright solitons, and dark solitons. The results show that the soliton's parameters (amplitude, width, and period) can be changed in a controllable manner by changing the scattering length and external potential. This may be helpful to design experiments.
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Received: 07 May 2007
Published: 27 December 2007
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