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Solitons in Bose-Einstein Condensates with Time-Dependent Atomic Scattering Length in a Harmonic Trap |
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| Authors: | ZHANG Xiao-Fei ZHANG Pei YANG Qin |
| Institution: | Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China ;Department of Physics, Honghe University, Mengzi 661100, China ;College of Science, Honghe University, Mengzi 661100, China ;School of Electrical and Mechanical Engineering, Jiaxing University, Jiaxing 314001, China |
| Abstract: | We obtain the integrable relation for the one-dimensional nonlinear Schrödinger equations which describes the dynamics of a Bose-Einstein Condensates with time-dependent scattering length in a harmonic potential. The exact one- and two-soliton solutions are constructed analytically by using the Hirota method. Then we further discuss the dynamics of the one soliton and the interactions between two solitons in currently experimental conditions. |
| Keywords: | Bose-Einstein condensate nonlinear equation the time-dependent scattering length soliton |
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