Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 20: Many-body Quantum Dynamics II (joint session DY/TT)

DY 20.2: Vortrag

Mittwoch, 19. März 2025, 09:45–10:00, H37

A Solvable Model for Full Eigenstate Thermalization — •Felix Fritzsch and Pieter W. Claeys — Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

The Full Eigenstate Thermalization Hypothesis (Full ETH) aims to characterize thermalization in many-body quantum systems in terms of the dynamics of higher-order spatiotemporal correlation functions, going beyond the current standard ETH paradigm. In this talk, we introduce a solvable random matrix model for many-body quantum dynamics in which the asymptotic dynamics of generalized out-of-time-order correlation functions can be exactly obtained in the thermodynamic limit. The dynamics of this model naturally maps to dynamics on the lattice of non-crossing partitions, combinatorial structures underlying the mathematics of Free Probability and Full ETH. We demonstrate how local observables approach asymptotic freeness at late times and explicitly characterize all relevant time scales. We confirm our analytical results with numerical simulations performed directly in the thermodynamic limit.

Keywords: Thermalization; Random Matrix Theory; Correlation Functions