Multivalley dark solitons in multicomponent Bose-Einstein condensates with repulsive interactions
Multivalley dark solitons in multicomponent Bose-Einstein condensates with repulsive interactions
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具有排斥相互作用的多组分玻色-爱因斯坦凝聚中的多谷暗孤子
DOI：
10.1103/physreve.104.014201
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发表时间：
2021-07-02
影响因子：
2.4
通讯作者：
Ling, Liming
中科院分区：
文献类型：
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作者：
Qin, Yan-Hong;Zhao, Li-Chen;Ling, Liming
通过发展达布变换方法，得到了多组分排斥性玻色-爱因斯坦凝聚体中具有非对称或对称轮廓的多谷暗孤子解。我们证明了与标量暗孤子形成鲜明对比的是，孤子的宽度相关参数对多谷暗孤子的速度范围和相位跳变区有显著影响。对于双谷暗孤子，我们发现相位跳变在[0,2 pi]范围内，这与通常的单谷暗孤子有很大的不同。基于我们的结果，我们认为n-谷暗孤子的相跃可能在[0，n pi]范围内，我们的分析扩展到五组分凝聚体。进一步研究了双谷暗孤子与单谷暗孤子之间的相互作用，揭示了双谷暗孤子与单谷暗孤子碰撞后转变为呼吸器的惊人碰撞过程。我们的分析表明，这种呼吸跃迁在涉及多谷暗孤子的碰撞过程中广泛存在。讨论了在相关玻色-爱因斯坦凝聚体实验中观测这些多谷暗孤子的可能性。
We obtain multivalley dark soliton solutions with asymmetric or symmetric profiles in multicomponent repulsive Bose-Einstein condensates by developing the Darboux transformation method. We demonstrate that the width-dependent parameters of solitons significantly affect the velocity ranges and phase jump regions of multivalley dark solitons, in sharp contrast to scalar dark solitons. For double-valley dark solitons, we find that the phase jump is in the range [0, 2 pi], which is quite different from that of the usual single-valley dark soliton. Based on our results, we argue that the phase jump of an n-valley dark soliton could be in the range [0, n pi], supported by our analysis extending up to five-component condensates. The interaction between a double-valley dark soliton and a single-valley dark soliton is further investigated, and we reveal a striking collision process in which the double-valley dark soliton is transformed into a breather after colliding with the single-valley dark soliton. Our analyses suggest that this breather transition exists widely in the collision processes involving multivalley dark solitons. The possibilities for observing these multivalley dark solitons in related Bose-Einstein condensates experiments are discussed.