Mainz 2026 – wissenschaftliches Programm
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MO: Fachverband Molekülphysik
MO 31: Poster – Collisions, Scattering and Correlation Phenomena (joint session A/MO)
MO 31.2: Poster
Donnerstag, 5. März 2026, 17:00–19:00, Philo 1. OG
Observing ergodicity breaking via violations of random matrix theoretic predictions — •Venelin Pavlov1, Peter Ivanov1, Diego Porras2, and Charlie Nation3 — 1Center for Quantum Technologies, Department of Physics, St. Kliment Ohridski University of Sofia, James Bourchier 5 blvd, 1164 Sofia, Bulgaria — 2Institute of Fundamental Physics IFF-CSIC, Calle Serrano 113b, 28006 Madrid, Spain — 3Department of Physics and Astronomy, University of Exeter, Stocker Road, Exeter EX4 4QL, United Kingdom
Quantum many-body systems can exhibit distinct regimes where dynamics is either ergodic in the sense that it explores an extensive region of available state-space, or non-ergodic, where the dynamics may be restricted or localized. In this work we explore the ability to probe the ergodicity of dynamics via local observables, and use expected results from random matrix theory (RMT) as a benchmark for the ergodic regime. We explore the time evolution of the quantum Fisher (QFI) information in the presence of three different ergodicity breaking mechanisms in a non-integrable spin system, namely, as a consequence of transition to integrability, Many-Body Localization (MBL) and Quantum Many-Body Scars (QMBS). We show that it can be used as a potential witness for transition to non-ergodic behavior. In ergodic quantum systems the QFI exhibits an additional intermediate linear time scaling together with it's typical short-time and long-time quadratic scaling. We show that in all of the three ergodicity breaking scenarios the violation of the random matrix theory predictions leads to the vanishing of the intermediate linear time regime.
Keywords: Quantum Fisher Information; Ergodicity; Many-Body Localization; Random Matrix Theory; Eigenstate Thermalization Hypothesis