Dynamic Shear Suppression in Quantum Phase Space.

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.
• 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.