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Chinese Physics B

Stability properties of vector solitons in two-component Bose—Einstein condensates with tunable interactions

Xiao-Fei Zhang, Pei Zhang, Wan-Quan He, Xunxu Liu

Published Feb 1, 2011• 15 citations
Publisher

Abstract

By using a unified theory of the formation of various types of vector-solitons in two-component Bose—Einstein condensates with tunable interactions, we obtain a family of exact vector-soliton solutions for the coupled nonlinear Schrödinger equations. Moreover, the Bogoliubov equation shows that there exists stable dark soliton in specific situations. Our results open up new ways in considerable experimental interest for the quantum control of multi-component Bose—Einstein condensates.

DOI
10.1088/1674-1056/20/2/020307

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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.
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