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 32.9: Talk

Wednesday, March 11, 2026, 11:45–12:00, HÜL/S186

Correspondence principle, dissipation, and Ginibre ensemble — •David Villaseñor, Hua Yan, Matic Orel, and Marko Robnik — CAMTP - Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, Slovenia, European Union

The correspondence between quantum and classical behavior has been essential since the advent of quantum mechanics. This principle serves as a cornerstone for understanding quantum chaos, which has garnered increased attention due to its strong impact in various theoretical and experimental fields. When dissipation is considered, quantum chaos takes concepts from isolated quantum chaos to link classical chaotic motion with spectral correlations of Ginibre ensembles. This correspondence was first identified in periodically kicked systems with damping, but it has been shown to break down in dissipative atom-photon systems [Phys. Rev. Lett. 133, 240404 (2024)]. In this contribution, we revisit the original kicked model and perform a systematic exploration across a broad parameter space, reaching a genuine semiclassical limit. Our results demonstrate that the correspondence principle, as defined through this spectral connection, fails even in this prototypical system. These findings provide conclusive evidence that Ginibre spectral correlations are neither a robust nor a universal diagnostic of dissipative quantum chaos.

Keywords: open quantum systems; dissipative quantum chaos; quantum correlations