Dragging a defect in a droplet Bose-Einstein condensate
Dragging a defect in a droplet Bose-Einstein condensate
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DOI：
10.1103/physreva.107.033310
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发表时间：
2022-09
影响因子：
2.9
通讯作者：
S. Saqlain;T. Mithun;R. Carretero-Gonz'alez;P. Kevrekidis
中科院分区：
文献类型：
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作者：
S. Saqlain;T. Mithun;R. Carretero-Gonz'alez;P. Kevrekidis
在目前的工作中，我们考虑存在缺陷的量子液滴模型，该缺陷以激光束的形式穿过相应的凝聚体，包括 Lee-Huang-Yang 校正。我们的分析分别探讨了 1D、2D 和 3D 设置中的存在性、稳定性、分叉和动态。在没有问题的解析解的情况下，我们提供了对声速的分析，并观察随着缺陷的速度或强度的改变，带有缺陷的状态如何可能出现鞍中心分岔。系统地构建了相关的分岔图，并监测不稳定状态以及稳定状态存在后的动态。相应地阐明了所得态与 1D 暗孤子模式、2D 涡旋态和 3D 涡环的联系。
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.