Dynamics of Bright/Dark Solitons in Bose--Einstein Condensates with Time-Dependent Scattering Length and External Potential |
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Authors: | ZHANG Ai-Xia XUE Ju-Kui |
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Affiliation: | Physics and Electronics Engineering College, Northwest Normal University, Lanzhou 730070 |
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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 ofthe 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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Keywords: | 03.75.-b 05.45.Yv 34.50.-s |
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