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Communications in Theoretical Physics

Effect of Time-Dependent Atomic Scattering Length on Solitons in Bose–Einstein Condensates with a Complex Potential

Wang Tian-Yuan

Published Feb 1, 2009• 2 citations
Publisher

Abstract

We consider the one-dimensional nonlinear Schrödinger 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 Schrödinger 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.

DOI
10.1088/0253-6102/51/2/14

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