In this paper, we study the dynamics of a single vortex and a corotating vortex pair in a quasi-two-dimensional Bose–Einstein condensate. The numerical results are obtained by solving the Gross–Pitaevskii equation. It is shown that the vortex motion is strongly dependent on the dipole–dipole interaction (DDI). For a single vortex, the periodic motion occurs with increasing dipole strength. The x-coordinate and y-coordinate as a function of time close to the shape of cosine wave and triangular wave when DDI is an isotropic repulsive interaction, respectively. In addition, it is evident that strong and anisotropic DDI makes the movement of vortex become fast and the amplitude enlarges. In the case of a corotating vortex pair, the dynamics is qualitatively consistent with a single vortex for weak dipole strength. Moreover, the periodic dynamics only appears for strong and anisotropic DDI and more rapid vortex motion is indicated.

在本文中，我们研究了准二维Bose-Einstein冷凝物中单个涡旋和同向涡旋对的动力学。数值结果是通过求解Gross–Pitaevskii方程获得的。结果表明，涡旋运动强烈依赖于偶极-偶极相互作用（DDI）。对于单个涡旋，周期性运动会随着偶极子强度的增加而发生。在X -协调和ÿ当DDI是各向同性斥力相互作用时，随时间变化的坐标分别接近于余弦波和三角波的形状。另外，很明显，强而各向异性的DDI使涡旋运动变得更快并且振幅增大。在同向涡旋对的情况下，动力学在质量上与单个涡旋在弱偶极强度上一致。而且，周期性动力学仅出现在强而各向异性的DDI上，并且表明涡旋运动更快。