Regensburg 2025 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 45: Quantum Chaos (joint session DY/TT)

DY 45.4: Talk

Friday, March 21, 2025, 12:15–12:30, H37

Chaotic Quantum Scattering: Exact Solutions for Systems with Spin — •Nils Gluth and Thomas Guhr — Universität Duisburg-Essen, Duisburg, Germany

Scattering experiments facilitate access to quantum systems. Scattering theory is needed to fully describe the involved experimental situations. Over the years, it became a powerful tool with applications to a large variety of different systems, such as for example compound nuclei, atoms, molecules, quantum graphs or even microwave networks and cavities. These systems are typically complex or in a broad sense chaotic, calling for statistical approaches, in particular Random Matrix Theory. Considerably extending our previous work, we calculate the distribution of scattering matrix elements and cross sections using Supersymmetry. We focus on the symplectic symmetry class which had not yet been solved, because a theoretical understanding is needed in view of recent experiments. We provide a comparison of our results with experimental data.

Keywords: Chaotic Scattering; Random Matrix Theory; Supersymmetry; Quantum Chaos; Classical Wave Systems