论文标题

从超级涡流环向孤立结和链接的拓扑过渡

Topological transition from superuid vortex rings to isolated knots and links

论文作者

Bai, Wen-Kai, Yang, Tao, Liu, Wu-Ming

论文摘要

结和链接是基本拓扑对象,在古典和量子流体中都起着关键作用。在这项研究中,我们提出了一种新的方案,以通过在被困的Bose-Einstein冷凝物中受到开尔文波扰动的涡旋环的重新连接来产生圆环涡流结和链接。我们观察到一个新的现象,在一个密封的超流体系统中,其中的螺旋性在打结/链接和线圈之间的转移都可以在两个方向上都有不同途径。拓扑转换的途径可以通过设计特定的初始状态来控制。可以通过设置开尔文波数的奇偶校验来实现结或链接的产生。可以通过可调参数(包括理想的相对角度和初始涡旋环之间的最小距离)来大大提高结/链接的稳定性。

Knots and links are fundamental topological objects play a key role in both classical and quantum fluids. In this research, we propose a novel scheme to generate torus vortex knots and links through the reconnections of vortex rings perturbed by Kelvin waves in trapped Bose-Einstein condensates. We observe a new phenomenon in a confined superfluid system in which the transfer of helicity between knots/links and coils can occur in both directions with different pathways. The pathways of topology transition can be controlled through designing specific initial states. The generation of a knot or link can be achieved by setting the parity of the Kelvin wave number. The stability of knots/links can be improved greatly with tunable parameters, including the ideal relative angle and the minimal distance between the initial vortex rings.

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