论文标题
旋转旋转的旋转玻璃纤维中涡流的参数触发
Parametric triggering of vortices in toroidally trapped rotating Bose-Einstein condensates
论文作者
论文摘要
我们通过触发带有陷阱参数（例如激光束腰部和高斯电势深度）中的旋转玻色网凝结物来研究涡流的创建。通过在两个维度上求解时间依赖性的毛线 - 彼得斯基方程，当辐照激光束的腰部与冷凝物的面积相吻合时，我们观察到涡流结构的变化，并且涡流数量大幅增加，因为我们变化了高斯电位深度。通过计算冷凝物的均方根半径，我们确认了凝集液的根平方半径与激光束腰部产生的涡度数量的变化。特别是，当上述比率接近值0.7时，隐藏涡流的数量达到了最大值。我们发现，更深的高斯电位的涡度数量变化很快，我们得出的结论是，较大的梁腰部和更深的高斯电势会产生更多的涡旋。此外，我们使用thomas fermi近似的Feynman规则来计算涡旋数，并将其与数值结果进行比较。我们还观察到，临界旋转频率随着高斯电位深度的增加而降低。
We study the creation of vortices by triggering the rotating Bose-Einstein condensates in a toroidal trap with trap parameters such as laser beam waist and Gaussian potential depth. By numerically solving the time-dependent Gross-Pitaevskii equation in two dimensions, we observe a change in vortex structure and a considerable increase in the number of vortices when the waist of the irradiated laser beam is in consonance with the area of the condensate as we vary the Gaussian potential depth. By computing the root mean square radius of the condensate, we confirm the variation in the number of vortices generated as a function of the ratio between the root-mean-square radius of the condensate and the laser beam waist. In particular, the number of hidden vortices reaches the maximum value when the above ratio is close to the value 0.7. We find the variation in the number of vortices is rapid for deeper Gaussian potentials, and we conclude that the larger beam waist and deeper Gaussian potentials generate more vortices. Further, we calculate the number of vortices using the Feynman rule with Thomas Fermi approximation and compare them with the numerical results. We also observe that the critical rotation frequency decreases with an increase in depth of Gaussian potential.
