Regensburg 2025 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 59: Quantum Chaos (joint session DY/TT)

TT 59.2: Vortrag

Freitag, 21. März 2025, 11:45–12:00, H37

Distribution of resonance poles of chaotic scattering systems — •Jan Robert Schmidt, Florian Lorenz, and Roland Ketzmerick — TU Dresden, Institute of Theoretical Physics, Dresden, Germany

The distribution of resonance poles of chaotic scattering systems is investigated in the semiclassical limit at unprecedented small wavelengths. For the paradigmatic three-disk scattering system, we study the spectral gap towards the real axis, the fractal Weyl law, which counts the number of resonance poles, and the distribution of decay rates. These properties are compared to previous analytical results, e.g. from random matrix theory. In contrast to this system with full escape, systems with partial escape have significantly different properties. For the example of a dielectric cavity, we show that results from random matrix theory cannot explain the distribution of decay rates.

Keywords: chaotic scattering; resonance poles; semiclassical limit; fractal Weyl law; cavity