Dynamic shear suppression in quantum phase space

TL;DR

This paper demonstrates that quantum phase space dynamics exhibit shear suppression due to quantum effects, which enforces a minimum scale for structures and explains saturation phenomena in quantum systems.

Contribution

It introduces the concept of quantum shear suppression in phase space and shows its role in limiting the development of structures, providing new insights into quantum dynamics.

Findings

Quantum shear suppression acts as an effective viscosity in phase space.

It enforces Zurek's minimum scale limit for structures.

It identifies quantum states with unique shear suppression characteristics.

Abstract

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.