标题： 两组分玻色-爱因斯坦凝聚体中短程涡旋间相互作用及半量子涡旋的相互作用动力学 显示英文标题

标题： Short range inter-vortex interaction and interacting dynamics of half-quantized vortices in two-component Bose-Einstein condensates

摘要： 我们研究了两组分玻色-爱因斯坦凝聚体中两个半量子涡旋的相互作用和动力学。 使用涡旋核心轮廓的Pade近似，我们计算了涡旋间的势能，其大距离下的渐近形式由Eto等人[Phys. Rev. A, 83, 063603 (2011)]推导得出。 通过二维Gross-Pitaevskii方程的数值模拟，我们揭示了根据环流符号组合和组分间密度耦合的不同类型的涡旋动力学轨迹。 在绝热极限下，我们推导了涡旋坐标的运动方程，其中运动是由马格努斯力和涡旋间力之间的平衡引起的。 涡旋运动的初始速度可以通过这种点涡旋近似进行定量解释，但要理解动力学的长时间行为需要超出我们模型的更多考虑。 显示英文摘要

摘要： 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 under- standing the long-time behavior of the dynamics needs more consideration beyond our model.