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 59.1: Talk

Friday, March 13, 2026, 09:30–09:45, HÜL/S186

Time reversal invariance breaking in quantum chaotic scattering — •Ahmed Aldabag, Nils Gluth, and Thomas Guhr — Universität Duisburg Essen

A. Aldabag, N. Gluth and T. Guhr, Universität Duisburg-Essen

Scattering theory is a key tool for the investigation of quantum systems. Often, the systems are stochastic or in a broad sense chaotic. Using Random Matrix Theory, our group recently derived the distributions of off-diagonal scattering matrix elements and cross sections with the Supersymmetry Method. We did that for the three Dyson classes which are distinguished by the presence or absence of time-reversal invariance in the system. In some important physics situations, time-reversal invariance is weakly broken. We succeeded in analytically calculating the corresponding effects on the universal behavior of the mentioned distributions. Our results provide new tools to analyze time-reversal invariance breaking in data from scattering experiments.

Keywords: random matrix theory; chaotic scattering; time reversal invariance breaking; supersymmetry