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Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

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Fragile many-body ergodicity from action diffusion.

Thudiyangal Mithun^1,2, Carlo Danieli^2,3, M V Fistul^2,4,5

¹Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA.

Physical Review. E

|August 20, 2021

Summary

This summary is machine-generated.

Weakly nonintegrable systems show distinct ergodicity restoration based on interaction range. Short-range interactions dramatically slow down ergodization via rare resonance diffusion, unlike long-range ones.

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Area of Science:

Quantum chaos
Statistical mechanics
Condensed matter physics

Background:

Weakly nonintegrable many-body systems exhibit complex dynamics.
Ergodicity restoration depends on interaction network properties.
Action resonances play a key role in seeding chaotic dynamics.

Purpose of the Study:

To investigate how interaction range affects ergodicity restoration in weakly nonintegrable systems.
To characterize the thermalizing dynamics of actions using Josephson junction chains.
To identify and analyze the mechanism responsible for the slowing down of ergodization.

Main Methods:

Utilizing Josephson junction chains as a paradigmatic model system.
Employing finite time average distributions to analyze action dynamics.
Extracting diffusion coefficients to quantify resonance diffusion.
Measuring the dependence of diffusion on proximity to the integrable limit.
Confirming findings with independent correlation function measurements.

Main Results:

Short-range interaction networks lead to a dramatic slowing down of ergodization.
A rare action resonance diffusion regime was identified as the cause of this slowdown.
The diffusion coefficient was extracted and its dependence on the integrable limit proximity was measured.
Fragile diffusion, reliant on weakly chaotic dynamics in isolated resonances, was observed.
Ergodization can be delayed by weak action noise, demonstrating a proof of concept.

Conclusions:

Interaction range critically influences ergodicity restoration pathways in many-body systems.
Josephson junction chains provide a valuable platform for studying these dynamics.
The identified action resonance diffusion mechanism offers new insights into thermalization processes.
Understanding these dynamics is crucial for controlling quantum system thermalization.