Beating Effects of Vector Solitons in Bose-Einstein Condensate

Abstract

We study the beating effects of solitons in multi-component coupled Bose-Einstein condensate systems. Our analysis indicate that the period of beating behavior is determined by the energy eigenvalue difference in the effective quantum well induced by solitons, and the beating pattern is determined by the eigen-states of quantum well which are involved in the beating behavior. We show that the beating solitons correspond to linear superpositions of eigen-states in some quantum wells, and the correspondence relations are identical for solitons in both attractive interaction and repulsive interaction condensate. This provides a possible way to understand the beating effects of solitons for attractive and repulsive interaction cases in a unified way, based on the knowledge of quantum eigen-states. Moreover, our results demonstrate many different beating patterns for solitons in three-component coupled condensate, in sharp contrast to the beating dark soliton reported before. The beating behavior can be used to test the eigenvalue differences of some certain quantum wells, and more abundant beating patterns are expected to exist in more components coupled systems.

7 papes, 3 figures

References in corpus (5)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Three-component soliton states in spinor $F=1$ Bose-Einstein condensates
• Solitons in Bose-Einstein Condensates with Helicoidal Spin-Orbit Coupling
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Cited by in corpus (8)

• Non-degenerate Bound State Solitons in Multi-component Bose-Einstein Condensates
• Darboux transformation and solitonic solution to the coupled complex short pulse equation
• Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
• Solitons in Nonlinear Systems and Eigen-states in Quantum Wells
• Dark-dark soliton breathing patterns in multi-component Bose-Einstein condensates
• Fundamental and second-order dark soliton solutions of 2- and 3-component Manakov equations in the defocusing regime
• Systematic vector solitary waves from their linear limits in one-dimensional $n$-component Bose-Einstein condensates
• Quasi-two-dimensional soliton in a self-repulsive spin-orbit-coupled dipolar binary condensate