Dresden 2026 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 59: Quantum Chaos and Coherent Dynamics (joint session DY/TT)

DY 59.10: Talk

Friday, March 13, 2026, 12:15–12:30, HÜL/S186

Ruelle-Pollicott signatures of unitary quantum systems — •Scott Daniel Linz, Jiaozi Wang, Merlin Füllgraf, and Jochen Gemmer — Department of Mathematics/Computer Science/Physics, University of Osnabrück, D-49076 Osnabrück, Germany

Phenomenological observations demonstrate that unitary quantum systems thermalize and equilibrate. While many concepts have been introduced to describe the equilibrium of a quantum system, the route to this state remains an area of ongoing research. A proposed step towards a general description of this behaviour is that correlation functions of chaotic quantum systems can be described by a superposition of relatively few damped oscillations, where each is weighted and assigned a complex frequency. These frequencies will be called Ruelle-Pollicott signatures after the well-understood Ruelle-Pollicott resonances that govern the decay of correlations in classical chaotic systems featuring dissipation. Following this framework, a deterministic fitting method is applied to the correlation functions of numerical simulations of closed unitary quantum systems. This examination will focus on how the number of frequencies needed to reproduce correlation functions relates to other signatures of quantum chaos.

Keywords: Quantum Chaos; Route to Equilibrium; Ruelle-Pollicott resonances; Indicators of Quantum Chaos