The vortex filament model is used to investigate the interaction of a quantized vortex ring with a straight vortex line and also the interaction of two solitons traveling in opposite directions along a vortex. When a ring reconnects with a line, we find that a likely outcome is the formation of a loop soliton. When they collide, loop solitons reconnect as they overlap each other producing either one or two vortex rings. These simulations are relevant for experiments on quantum turbulence in the zero temperature limit where small vortex rings are expected to be numerous. It seems that loop solitons might also commonly occur on vortex lines as they act as transient states between the absorption of a vortex ring before another ring is emitted when the soliton is involved in a reconnection.

中文翻译：

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量化涡环和环孤子

涡流丝模型用于研究量化涡环与直线涡线的相互作用，以及沿涡流以相反方向行进的两个孤子的相互作用。当环与线重新连接时，我们发现可能的结果是形成环路孤子。当它们碰撞时，环孤子重新连接，因为它们彼此重叠，产生一个或两个涡环。这些模拟与零温度极限下的量子湍流实验相关，其中预计会有很多小涡环。似乎环路孤子也可能经常出现在涡旋线上，因为当孤子参与重新连接时，它们在涡环吸收之前的另一个环被发射之间充当瞬态。