Emergence of quantum chaos in finite interacting Fermi systems
Ph. Jacquod, D. L. Shepelyansky
TL;DR
This paper investigates how quantum chaos emerges in finite interacting Fermi systems by analyzing level spacing statistics and identifying critical interaction strength and temperature thresholds for chaos and thermalization.
Contribution
It introduces a method to determine the critical interaction strength and temperature at which quantum chaos and thermalization occur in many-body Fermi systems.
Findings
Identification of a critical interaction strength Uc for chaos onset
Determination of a critical temperature Tch for thermalization
Observation of a crossover from Poisson to Wigner-Dyson statistics
Abstract
We study the level spacing statistics P(s) in many-body Fermi systems and determine a critical two-body interaction strength Uc at which a crossover from Poisson to Wigner-Dyson statistics takes place. Near the Fermi level the results allow to find a critical temperature Tch above which quantum chaos and thermalization set in.
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