Mainz 2026 – wissenschaftliches Programm

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MO: Fachverband Molekülphysik

MO 31: Poster – Collisions, Scattering and Correlation Phenomena (joint session A/MO)

MO 31.3: Poster

Donnerstag, 5. März 2026, 17:00–19:00, Philo 1. OG

Analytical determination of multi-time correlation functions in quantum chaotic systems — •Yoana Chorbadzhiyska¹, Peter Ivanov¹, and Charlie Nation² — ¹Faculty of Physics, Sofia University "St. Kliment Ohridski", 5 James Bourchier Blvd, Sofia 1164, Bulgaria — ²Department of Physics and Astronomy, University of Exeter, Stocker Road, Exeter EX4 4QL, United Kingdom

The time-dependence of multi-point observable correlation functions are essential quantities in analysis and simulation of quantum dynamics. Open quantum systems approaches utilize two-point correlations to describe the influence of an environment on a system of interest, and in studies of chaotic quantum system, the out-of-time-ordered correlator (OTOC) is used to probe chaoticity of dynamics. In this work we analytically derive the time dependence of multi-point observable correlation functions in quantum systems from a random matrix theoretic approach, with the highest order function of interest being the OTOC. We find in each case that dynamical contributions are related to a simple function, related to the Fourier transform of coarse-grained wave-functions. We compare the predicted dynamics to exact numerical experiments in a spin chain for various physical observables. We comment on implications towards the emergence of Markovianity and quantum regression in closed quantum systems, as well as relate our results to known bounds on chaotic dynamics.

Keywords: Quantum statistical mechanics; Quantum chaos; Information scrambling; Random matrix theory