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DY: Fachverband Dynamik und Statistische Physik

DY 32: Many-body Systems: Equilibration, Chaos, and Localization (joint session DY/TT)

DY 32.5: Vortrag

Mittwoch, 11. März 2026, 10:30–10:45, HÜL/S186

Free Cumulants and Full Eigenstate Thermalization from Boundary Scrambling — •Felix Fritzsch, Gabriel O. Alves, Michael A. Rampp, and Pieter W. Claeys — Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

Out-of-time-order correlation functions (OTOCs) represent important probes of quantum information dynamics and scrambling. We introduce a solvable many-body quantum circuit model, which we term boundary scrambling, for which the full dynamics of OTOCs is analytically tractable. These dynamics support a decomposition into free cumulants and unify recent extensions of the eigenstate thermalization hypothesis (full ETH) with predictions from random quantum circuit models. We moreover obtain exact expressions for higher-order correlations between matrix elements as predicted by the full ETH. The solvability is enabled by the identification of a higher-order Markovian influence matrix, capturing the effect of the full system on a local subsystem.

Keywords: Thermalization; Quantum Circuits; Correlation Functions