Göttingen 2025 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 4: Dynamics and Chaotic Behaviour

MP 4.2: Vortrag

Mittwoch, 2. April 2025, 11:30–11:50, ZHG001

Chaotic Quantum Scattering and Supersymmetry: Exact Distributions in the Symplectic Case — •Nils Gluth and Thomas Guhr — Universität Duisburg-Essen, Duisburg, Deutschland

Scattering theory is a powerful tool with applications to a large variety of different systems in quantum physics and in the physics of classical waves. Often, such systems are complex or in a broad sense chaotic, calling for statistical approaches, in particular Random Matrix Theory. A few years ago, we put forward a variant of the Supersymmetry method to exactly calculate full distributions of scattering matrix elements and cross sections. Here, we focus on the previously not considered symplectic symmetry class which is relevant for certain spin systems. We exploit similarities in superspace to the unitary as well as to the orthogonal class. We extend and reformulate previous work on the corresponding supermanifolds.

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