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Two-dimensional vortex quantum droplets get thick
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-09-12 , DOI: 10.1016/j.cnsns.2020.105536
Zeda Lin , Xiaoxi Xu , Zikang Chen , Ziteng Yan , Zhijie Mai , Bin Liu

We study two-dimensional (2D) vortex quantum droplets (QDs) trapped by a thicker transverse confinement with a>1μm. Under this circumstance, the Lee-Huang-Yang (LHY) term should be described by its original form in the three-dimensional (3D) configuration. Previous studies have demonstrated that stable 2D vortex QDs can be supported by a thin transverse confinement with a1μm. In this case, the LHY term is described by a logarithm. Hence, two kinds of confinement features result in different mechanisms of the vortex QDs. The stabilities and characteristics of the vortex QDs must be re-identified. In the current system, we find that stable 2D vortex QDs can be supported with topological charge number up to at least 4. We reformulated their density profile, chemical potential and threshold norm for supporting the stable vortex QDs according to the new condition. Unlike the QDs under thin confinement, the QDs in the current system strongly repel each other because the LHY term features a higher-order repulsion than that of the thin confinement system. Moreover, elastic and inelastic collisions between two moving vortex QDs are studied throughout the paper. Two kinds of collisions can be characterized by exerting different values of related speed. The dynamics of the stable nested vortex QD, which is constructed by embedding one vortex QD with a smaller topological number into another vortex QD with a larger number of topological charge, can be supported by the system.



中文翻译:

二维涡旋量子液滴变厚

我们研究由更厚的横向约束捕获的二维(2D)涡旋量子液滴(QD) 一种>1个μ。在这种情况下,Lee-Huang-Yang(LHY)术语应以其原始形式描述为三维(3D)配置。先前的研究表明,稳定的2D涡旋量子点可以通过薄的横向约束来支持一种1个μ。在这种情况下,LHY项由对数描述。因此,两种限制特征导致了涡旋量子点的不同机制。涡旋量子点的稳定性和特征必须重新确定。在当前系统中,我们发现可以用至少4个拓扑电荷数支持稳定的2D涡旋量子点。我们根据新条件重新构造了它们的密度分布,化学势和阈值范数,以支持稳定的涡旋量子点。与薄约束系统中的QD不同,当前系统中的QD相互排斥,因为LHY项具有比薄约束系统更高的排斥力。此外,整篇论文都研究了两个运动涡旋量子点之间的弹性和非弹性碰撞。可以通过施加不同的相关速度值来表征两种碰撞。该系统可以支持通过将拓扑数较小的一个涡旋QD嵌入到拓扑数较大的另一个涡旋QD中构建的稳定嵌套涡旋QD的动力学。

更新日期:2020-09-12
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