三维静止和运动平面暗孤子的动力学不稳定性
Dynamical Instability of 3d Stationary and Traveling Planar Dark Solitons
摘要：
在这里，我们重新审视的主题，在自排斥的三维玻色-爱因斯坦凝聚体的静态和传播孤子激发定量比较理论分析和相关的数值计算与我们的实验结果。利用全三维数值模拟，我们探讨了平面暗孤子的存在性、稳定性和演化动力学，以及它们的不稳定性引起的衰变产物，包括孤子涡旋和涡旋环。在捕获的情况下，没有可调参数，我们的数值结果与实验观察到的相干结构。在没有纵向陷阱的情况下，我们确定了数值精确的行波解，并量化了它们的横向不稳定阈值如何随孤波速度的变化而变化。
英文摘要：
Here we revisit the topic of stationary and propagating solitonic excitations in self-repulsive three-dimensional Bose-Einstein condensates by quantitatively comparing theoretical analysis and associated numerical computations with our experimental results. Using fully 3d numerical simulations, we explore the existence, stability, and evolution dynamics of planar dark solitons, as well as their instability-induced decay products including solitonic vortices and vortex rings. In the trapped case and with no adjustable parameters, our numerical findings are in correspondence with experimentally observed coherent structures. Without a longitudinal trap, we identify numerically exact traveling solutions and quantify how their transverse destabilization threshold changes as a function of the solitary wave speed.
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