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Dynamic Shear Suppression in Quantum Phase Space.

Maxime Oliva1, Ole Steuernagel1

  • 1School of Physics, Astronomy and Mathematics, University of Hertfordshire, Hatfield AL10 9AB, United Kingdom.

Physical Review Letters
|February 6, 2019
PubMed
Summary
This summary is machine-generated.

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Quantum phase space dynamics exhibit effective viscosity, suppressing shear and enforcing Zurek's limit for structure formation. This quantum shear suppression, measured by vorticity gradients, explains scale limits and identifies special quantum states.

Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Phase space dynamics

Background:

  • Classical phase space flow is inviscid.
  • Quantum mechanics introduces unique dynamics not present classically.
  • Understanding quantum phase space behavior is crucial for describing quantum systems.

Purpose of the Study:

  • To investigate the viscous properties of quantum phase space.
  • To explore the phenomenon of shear suppression in quantum dynamics.
  • To connect quantum shear suppression to Zurek's limit for structure formation.

Main Methods:

  • Analysis of Wigner's probability current (J) in quantum phase space.
  • Quantification of shear suppression using gradients of quantum terms in J's vorticity.

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  • Application to evolving closed conservative 1D bound state systems.

    • Main Results:

    • Wigner's probability current (J) exhibits effective viscosity in quantum phase space.
    • Quantum shear suppression limits the minimum size scale of dynamically developing structures, enforcing Zurek's limit.
    • The measure of quantum dynamics via shear suppression explains saturation at Zurek's scale limit.
    • Special quantum states were identified through this new measure.

    Conclusions:

    • Quantum phase space dynamics are effectively viscous, unlike classical systems.
    • Quantum shear suppression is a key mechanism explaining fundamental scale limits in quantum systems.
    • The study introduces a novel measure for quantum dynamics with implications for identifying unique quantum states.