SKM 2023 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Quantum Dynamics and Many-Body Systems

DY 43.22: Poster

Thursday, March 30, 2023, 13:00–16:00, P1

Investigation of two-dimensional quantum billiards with mixed dynamics in microwave resonators — •Lennart Anderson and Andreas Wieck — Angewandte Festkörperphysik, Ruhr-Universität Bochum

Based on the analogy of the stationary Schrödinger equation and the Helmholtz equation for a flat electromagnetic resonator, two-dimensional quantum mushroom billiards are studied in the microwave regime. We give a practical approach, ranging from the construction process of the resonator to the eigenvalue statistics. I.e. the frequency spectrum is measured for different stem widths. The obtained nearest neighbour spacings are fitted with respect to three different distribution functions for systems with mixed dynamics respectively. The degrees of chaoticity are determined analytically, dependent on the stem width, and compared with the fitted data. The presented approach is of both conceptual and educational interest.