Short-range intervortex interaction and interacting dynamics of half-quantized vortices in two-component Bose-Einstein condensates
Short-range intervortex interaction and interacting dynamics of half-quantized vortices in two-component Bose-Einstein condensates
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DOI：
10.1103/physreva.93.013615
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发表时间：
2016-01-19
影响因子：
2.9
通讯作者：
Nitta, Muneto
中科院分区：
文献类型：
--
作者：
Kasamatsu, Kenichi;Eto, Minoru;Nitta, Muneto
研究了双组分玻色-爱因斯坦凝聚体中两个半量子化涡旋的相互作用和动力学。利用涡核剖面的Pade近似，我们计算了大距离涡间势，其渐近形式已由Eto等人导出。[j].农业工程学报，2011,31(2)。通过对二维Gross-Pitaevskii方程的数值模拟，揭示了环流标志组合和分量间密度耦合对涡旋动力学轨迹的影响。在绝热极限下，导出了涡旋坐标的运动方程，其中的运动是由马格努斯力和涡旋间力的平衡引起的。旋涡运动的初始速度可以用这个点涡近似定量地解释，但理解动力学的长期行为需要更多的考虑超出我们的模型。
We study the interaction and dynamics of two half-quantized vortices in two-component Bose-Einstein condensates. Using the Pade approximation for the vortex core profile, we calculate the intervortex potential, whose asymptotic form for a large distance has been derived by Eto et al. [Phys. Rev. A 83, 063603 (2011)]. Through numerical simulations of the two-dimensional Gross-Pitaevskii equations, we reveal different kinds of dynamical trajectories of the vortices depending on the combinations of signs of circulations and the intercomponent density coupling. Under the adiabatic limit, we derive the equations of motion for the vortex coordinates, in which the motion is caused by the balance between Magnus force and the intervortex forces. The initial velocity of the vortex motion can be explained quantitatively by this point vortex approximation, but understanding the long-time behavior of the dynamics needs more consideration beyond our model.