Dynamic Shear Suppression in Quantum Phase Space

Maxime Oliva and Ole Steuernagel
Phys. Rev. Lett. 122, 020401 – Published 18 January 2019
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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.

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  • Received 12 February 2018
  • Revised 18 July 2018

DOI:https://doi.org/10.1103/PhysRevLett.122.020401

© 2019 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Maxime Oliva and Ole Steuernagel*

  • School of Physics, Astronomy and Mathematics, University of Hertfordshire, Hatfield AL10 9AB, United Kingdom

  • *Ole.Steuernagel@gmail.com

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Issue

Vol. 122, Iss. 2 — 18 January 2019

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