偶极-偶极相互作用下玻色-爱因斯坦凝聚体中涡旋的非线性动力学研究
Nonlinear Dynamics of Vorices in a Bose-Einstein Condendsate with Dipole-dipole Interaction

基于平均场理论和分裂算符谱算法, 研究了偶极-偶极相互作用下玻色爱因斯坦凝聚体中涡旋的非线性动力学. 研究发现外势运动速度小于临界值时，偶极-偶极相互作用对系统涡旋的非线性动力学影响较小，而外势运动速度超过临界速度时，偶极-偶极相互作用对涡旋的非线性动力学影响很大，可使系统产生涡旋对、涡旋偶极子和简单涡旋，并使它们形成涡街.
Based on the mean-field theory and split-operator method, we study the nonlinear dynamics of vortices in a Bose-Einstein condendsate with dipole-dipole interaction. The results show that the dipole-dipole interaction has little effect on the nonlinear dynamics of vortices when the speed of the impenetrable disk-shaped potential is smaller than a critical value of speed, however, when the speed of the impenetrable disk-shaped potential exceeds the critical value of speed, the dipole-dipole interaction will affect the nonlinear dynamics of vortices strongly. Vortex pairs, vortex dipoles and vortices are formed in such a system within a certain range of parameters. Moreover, they are formed vortex streets.