Berlin 2024 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 35: Poster: Quantum Dynamics and Many-body Systems

DY 35.14: Poster

Mittwoch, 20. März 2024, 15:00–18:00, Poster D

Semiclassical structure of resonance states of the three-disk scattering system — Roland Ketzmerick, Florian Lorenz, and •Jan Robert Schmidt — TU Dresden, Institute of Theoretical Physics, Dresden, Germany

For the paradigmatic three-disk scattering system, the structure of resonance states in the semiclassical limit is investigated. We introduce a classical multifractal measure that describes resonance states with decay rate γ in this limit. This measure (i) maximizes an entropy-like quantity and (ii) is conditionally invariant with the same decay rate γ. It is derived from a local random vector model and replaces previous approximate approaches. This supports the recently proposed factorization conjecture, that resonance states are a product of a classical measure and universal fluctuations [1, 2]. Here, these results are applied to the three-disk scattering system. Furthermore, we confirm the fractal Weyl law, counting the number of states, over an unprecedented large range.

• [1] R. Ketzmerick, K. Clauß, F. Fritzsch, and A. Bäcker,
  Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations,
  Phys. Rev. Lett. 129, 193901 (2022).
• [2] J. R. Schmidt and R. Ketzmerick,
  Resonance states of the three-disk scattering system,
  arXiv:2308.12783 (2023).

Keywords: chaotic scattering; resonance states; semiclassical limit; fractal Weyl law