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Chinese Physics B

Nonautonomous dark soliton solutions in two-component Bose—Einstein condensates with a linear time-dependent potential

Qiuyan Li, Shuanjin Wang, Zai-Dong Li

Published May 30, 2014• 9 citations
Publisher

Abstract

We report the analytical nonautonomous soliton solutions (NSSs) for two-component Bose—Einstein condensates with the presence of a time-dependent potential. These solutions show that the time-dependent potential can affect the velocity of NSS. The velocity shows the characteristic of both increasing and oscillation with time. A detailed analysis for the asymptotic behavior of NSSs demonstrates that the collision of two NSSs of each component is elastic.

DOI
10.1088/1674-1056/23/6/060310

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We present two kinds of exact vector-soliton solutions for coupled nonlinear Schrödinger equations with time-varying interactions and time-varying harmonic potential. Using the variational approach, we investigate the dynamics of the vector solitons. It is found that the two bright solitons oscillate about slightly and pass through each other around the equilibration state which means that they are stable under our model. At the same time, we obtain the opposite situation for dark-dark solitons.