Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 32: Many-body Systems: Equilibration, Chaos, and Localization (joint session DY/TT)
DY 32.6: Talk
Wednesday, March 11, 2026, 10:45–11:00, HÜL/S186
Mechanism of Eigenstate Thermalization Breakdown — •Rafał Świetek1,2,3 and Lev Vidmar2,3 — 1Institut für Theoretische Physik, Georg-August-Universität Göttingen, D-37077 Göttingen, Germany — 2Department of Theoretical Physics, J. Stefan Institute, SI-1000 Ljubljana, Slovenia — 3Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
Establishing a common framework for ergodicity-breaking transitions has many potential applications and provides insight into the nature of non-ergodic phases. In this work, we show that the softening of fluctuations within the recently established fading ergodicity framework can be derived directly from the emergence of the Fermi Golden Rule (FGR), ultimately classifying fading ergodicity as manifestation of FGR physics in quantum many-body systems. We show that this framework identifies the width of the local density of states and the fractal nature of eigenstates in the unperturbed basis as building blocks for fading ergodicity. Furthermore, we argue that our theory can be also applied to integrability-breaking transitions, where the critical point drifts exponentially with system size to a singular point, providing a common framework for ergodicity breaking in RMT models and integrability-breaking in local Hamiltonians.
Keywords: eigenstate thermalization; ergodicity breaking transition; fermi golden rule; integrability breaking; many body ergodicity