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DY: Fachverband Dynamik und Statistische Physik

DY 47: Quantum Chaos and Coherent Dynamics (joint session DY/TT)

DY 47.2: Talk

Thursday, March 21, 2024, 15:15–15:30, A 151

Semiclassical structure of resonance states in chaotic scattering — Roland Ketzmerick, •Florian Lorenz, and Jan Robert Schmidt — TU Dresden, Institute of Theoretical Physics, Dresden, Germany

We introduce a classical multifractal measure that describes resonance states with decay rate γ in the semiclassical 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]. These results are numerically demonstrated for optical microcavities.

• [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).

Keywords: chaotic scattering; resonance states; semiclassical limit