Dynamic shear suppression in quantum phase space

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.

11 pages, 15 figures

References in corpus (4)

• Wigner flow reveals topological order in quantum phase space dynamics
• Anharmonic quantum mechanical systems do not feature phase space trajectories
• Wigner's representation of quantum mechanics in integral form and its applications
• Structures far below sub-Planck scale in quantum phase-space through superoscillations

Cited by in corpus (7)

• The Wigner Current for Open Quantum Systems
• Quantum Kerr oscillators' evolution in phase space: Wigner current, symmetries, shear suppression and special states
• Quasiprobability currents on the sphere
• Exponential unitary integrators for nonseparable quantum Hamiltonians
• Wigner's Phase Space Current for Variable Beam Splitters -Seeing Beam Splitters in a New Light-
• On the Formation of Lines in Quantum Phase Space
• Quantum-to-Classical Transition via Single-Shot Generalized Measurements