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Fragile many-body ergodicity from action diffusion
Thudiyangal Mithun1,2, Carlo Danieli2,3, M V Fistul2,4,5
1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA.
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.
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.
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