Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 35: Quantum Chaos and Coherent Dynamics

DY 35.4: Vortrag

Mittwoch, 7. September 2022, 16:15–16:30, H20

Quantum chaos in microwave cavities with mixed dynamics — •Lennart Anderson and Andreas Wieck — Angewandte Festkörperphysik, Ruhr-Universität Bochum

Based on the analogy of the Schrödinger equation with Dirichlet boundary conditions and the Helmholtz equation for a flat resonator, it is possible to study the dynamical and statistical properties of quantum billiards experimentally in the quasi-classical limit. Billiards, i.e. dynamical systems in which a particle moves ballistically and gets reflected by hard walls, provide a very simple model system, since the entire dynamics only depends on the geometry of the boundary. We investigate Hamiltonian systems with divided phase space, i.e. systems enabling a continuous transition from completely regular to completely chaotic dynamics, like the mushroom billiard, introduced by L. Bunimovich, in the quantum regime. Generalizations of the mushroom billiard and further geometries, i.e. those ranging from convex to non-convex domains, are considered. We further discuss the experimental setup and the impact of parameters like the conductivity of the resonator.