Department of Physics & Astronomy, University of Denver, Denver, Colorado 80210, USA.
Phys Rev Lett. 2019 Feb 1;122(4):044301. doi: 10.1103/PhysRevLett.122.044301.
The infinite superpositions of random plane waves are known to be threaded with vortex line singularities which form complicated tangles and obey strict topological rules. We observe that within these structures, a timelike axis appears to emerge with which we can define vortex velocities in a useful way: With both numerical simulations and optical experiments, we show that the statistics of these velocities match those of turbulent quantum fluids such as superfluid helium and atomic Bose-Einstein condensates. These statistics are shown to be independent of system scale. These results raise deep questions about the general nature of quantum chaos and the role of nonlinearity in the structure of turbulence.
众所周知，随机平面波的无穷叠加被缠绕的涡旋线奇点贯穿，这些奇点形成复杂的缠绕，并服从严格的拓扑规则。我们观察到，在这些结构中，似乎出现了一条类时轴，我们可以用它来以一种有用的方式定义涡旋速度：通过数值模拟和光学实验，我们表明这些速度的统计特性与超流氦和原子玻色-爱因斯坦凝聚等湍流量子流体的统计特性相匹配。这些统计特性与系统尺度无关。这些结果引发了关于量子混沌的一般性质以及非线性在湍流结构中的作用的深刻问题。
