环形阱中量子涡旋的动力学
The dynamics of quantum vortices in a toroidal trap
摘要：
通过数值模拟Gross-Pitaevskii方程，研究了二维环状凝聚体中量子涡旋的动力学行为。家庭的孤立波序列的报告，无论是没有和持续流，为各种值的相互作用强度。结果表明，在环形几何的色散曲线的解决方案是丰富得多的情况下，一个半无限的通道或均匀的凝聚体研究以前。特别是，环形冷凝物被发现有在相同的位置和循环，以不同的速度移动的单涡的状态。本文还通过数值方法研究了无持续流时环状凝结体孤立波序列的稳定性。此外，还考虑了涡-涡对和涡-反涡对的相互作用，并证明了碰撞是弹性的还是非弹性的，这取决于角速度的大小.数值模拟的Gross-Pitaevskii方程和使用点涡模型的这些碰撞之间的异同进行了说明。
英文摘要：
The dynamics of quantum vortices in a two-dimensional annular condensate are considered by numerically simulating the Gross-Pitaevskii equation. Families of solitary wave sequences are reported, both without and with a persistent flow, for various values of interaction strength. It is shown that in the toroidal geometry the dispersion curve of solutions is much richer than in the cases of a semi-infinite channel or uniform condensate studied previously. In particular, the toroidal condensate is found to have states of single vortices at the same position and circulation that move with different velocities. The stability of the solitary wave sequences for the annular condensate without a persistent flow are also investigated by numerically evolving the solutions in time. In addition, the interaction of vortex-vortex pairs and vortex-antivortex pairs is considered and it is demonstrated that the collisions are either elastic or inelastic depending on the magnitude of the angular velocity. The similarities and differences between numerically simulating the Gross-Pitaevskii equation and using a point vortex model for these collisions are elucidated.
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