论文标题
将缺陷拖到液滴的玻璃纤维中
Dragging A Defect in a Droplet Bose-Einstein Condensate
论文作者
论文摘要
在目前的工作中，我们考虑了在存在在包括Lee-huang-yang校正在内的相应冷凝物中的激光束形式的缺陷的情况下的量子液滴模型。我们的分析分别探索了1D，2D和3D设置中的存在，稳定性，分叉和动力学的探索。在没有问题的分析解决方案的情况下，我们提供了声音速度的分析，并观察出随着缺陷而行进的状态如何以鞍形为中心的分叉随着缺陷的速度或强度进行修改。相关的分叉图是系统地构造的，不稳定状态以及经过稳定状态存在的动态。因此，阐明了所得状态与1D的深色孤子模式的连接，2D中的涡流状态和3D中的涡流环得到阐明。
In the present work we consider models of quantum droplets in the presence of a defect in the form of a laser beam moving through the respective condensates including the Lee-Huang-Yang correction. Our analysis features separately an exploration of the existence, stability, bifurcations and dynamics in 1D, 2D and 3D settings. In the absence of an analytical solution of the problem, we provide an analysis of the speed of sound and observe how the states traveling with the defect may feature a saddle-center bifurcation as the speed or the strength of the defect is modified. Relevant bifurcation diagrams are constructed systematically, and the unstable states, as well as the dynamics past the existence of stable states is monitored. The connection of the resulting states with dark solitonic patterns in 1D, vortical states in 2D and vortex rings in 3D is accordingly elucidated.
