弱相互作用玻色-爱因斯坦凝聚体中的涡旋动力学
Dynamics of vortices in weakly interacting Bose-Einstein condensates
摘要：
本文采用Ritz极小化方法求解二维Gross-Pitaevskii方程，研究了理想和弱相互作用玻色-爱因斯坦凝聚体中涡旋的动力学行为。对于不同的初始涡位形，我们计算了涡的轨迹。我们发现的条件下，一个涡旋-antivortex对湮灭，并再次创建。对于三个涡旋的情况，我们表明，在某些时候，可能会产生两个额外的涡旋，它们穿过凝聚体并再次相互湮灭。对于无相互作用的凝聚体，这个过程是周期性的，而对于小相互作用，基本特征仍然存在，但周期性消失了。结果进行了比较，证实我们的分析结果的精确数值解的Gross-Pitaevskii方程。
英文摘要：
We study the dynamics of vortices in ideal and weakly interacting Bose-Einstein condensates using a Ritz minimization method to solve the two-dimensional Gross-Pitaevskii equation. For different initial vortex configurations we calculate the trajectories of the vortices. We find conditions under which a vortex-antivortex pair annihilates and is created again. For the case of three vortices we show that at certain times two additional vortices may be created, which move through the condensate and annihilate each other again. For a noninteracting condensate this process is periodic, whereas for small interactions the essential features persist, but the periodicity is lost. The results are compared to exact numerical solutions of the Gross-Pitaevskii equation confirming our analytical findings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
