Qin Yan-Hong, Zhao Li-Chen, Yang Zeng-Qiang, Ling Liming
School of Physics, Northwest University, Xi'an 710127, China.
Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China.
Phys Rev E. 2021 Jul;104(1-1):014201. doi: 10.1103/PhysRevE.104.014201.
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 [0,2π], 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,nπ], 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.
通过发展达布变换方法，我们在多组分排斥性玻色 - 爱因斯坦凝聚体中获得了具有不对称或对称轮廓的多谷暗孤子解。我们证明，与标量暗孤子形成鲜明对比的是，孤子的宽度相关参数显著影响多谷暗孤子的速度范围和相位跃变区域。对于双谷暗孤子，我们发现相位跃变在[0,2π]范围内，这与通常的单谷暗孤子有很大不同。基于我们的结果，我们认为n谷暗孤子的相位跃变可能在[0,nπ]范围内，我们对多达五组分凝聚体的分析支持了这一观点。进一步研究了双谷暗孤子与单谷暗孤子之间的相互作用，我们揭示了一个惊人的碰撞过程，其中双谷暗孤子与单谷暗孤子碰撞后转变为一个呼吸子。我们的分析表明，这种呼吸子转变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。
