School of Physics, Astronomy and Mathematics, University of Hertfordshire, Hatfield AL10 9AB, United Kingdom.
Phys Rev Lett. 2019 Jan 18;122(2):020401. doi: 10.1103/PhysRevLett.122.020401.
Classical phase space flow is inviscid. Here we show that in quantum phase space Wigner's probability current J can be effectively viscous. This results in shear suppression in quantum phase space dynamics which enforces Zurek's limit for the minimum size scale of spotty structures that develop dynamically. Quantum shear suppression is given by gradients of the quantum terms of J's vorticity. Used as a new measure of quantum dynamics applied to several evolving closed conservative 1D bound state systems, we find that shear suppression explains the saturation at Zurek's scale limit and additionally singles out special quantum states.
经典相空间流是无粘性的。在这里，我们表明，在量子相空间中，维格纳的概率流 J 可以有效地具有粘性。这导致量子相空间动力学中的剪切抑制，从而强制 Zurek 限制了点状结构的最小动态发展规模。量子剪切抑制由 J 的涡度的量子项的梯度给出。作为一种应用于几个演化的封闭保守 1D 束缚态系统的新的量子动力学度量，我们发现剪切抑制解释了在 Zurek 尺度限制处的饱和，并且还单独挑选出了特殊的量子态。
