Effect of Time-Dependent Atomic Scattering Length on Solitons in Bose-Einstein Condensates with a Complex Potential
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摘要:
We consider the one-dimensional nonlinear SchrSdinger equations that describe the dynamics of a Bose-Einstein Condensates with time-dependent scattering length in a complex potential.Our results show that as long as the integrable relation is satisfied, exact solutions of the one-dimensional nonlinear SchrSdinger equation can be found in a general closed form, and interactions between two solitons are modulated in a complex potential.We find that the changes of the scattering length and trapping potential can be effectively used to control the interaction between two bright soliton.