Quenching an ultracold bosonic gas in a ring across the Bose–Einstein condensation phase transition is known, and has been experimentally observed, to lead to the spontaneous emergence of persistent currents. The present work examines how these phenomena generalize to a system of two experimentally accessible explicitly two-dimensional co-planar rings with a common interface, or to the related lemniscate geometry, and demonstrates an emerging independence of winding numbers across the rings, which can exhibit flow both in the same and in opposite directions. The observed persistence of such findings in the presence of dissipative coupled evolution due to the local character of the domain formation across the phase transition and topological protection of the randomly emerging winding numbers should be within current experimental reach.

中文翻译：

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双环几何形状中的持久电流形成

在穿过Bose-Einstein缩合相变的环中淬灭超冷硼气体是已知的，并且已经通过实验观察到，它会导致持久性电流自发出现。本工作研究了这些现象如何推广到具有共同接口的两个实验可访问的，明确的二维共面环的系统，或者推广到相关的lemniscate几何形状，并证明了绕环数的新兴独立性，可以显示出沿相同和相反的方向流动。在存在耗散耦合演化的情况下，由于跨相变域形成的局部特征以及随机出现的绕组数的拓扑保护，这种发现的持续性应该在当前实验范围之内。