Dresden 2026 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 42: Poster: Quantum Dynamics and Many-body Systems (joint session DY/TT)

DY 42.11: Poster

Wednesday, March 11, 2026, 15:00–18:00, P5

Distribution of complex amplitudes of chaotic resonance states — •Jan Möseritz-Schmidt and Roland Ketzmerick — TU Dresden, Institut für Theoretische Physik, Dresden, Germany

Resonance states of chaotic scattering systems have complex amplitudes in the position representation. Naively, one would expect that the phase of the complex amplitude is uniformly distributed, however, we observe significant deviations. We find that part of this is a finite-size effect which is already present in the random wave model. It is enhanced by the multifractal structure of chaotic resonance states, which follows from the factorization conjecture. We quantify these deviations using the phase rigidity and analyze its scaling behavior in the semiclassical limit. Numerically, this is demonstrated for the paradigmatic three-disk scattering system.

Keywords: chaotic scattering; resonance states; phase rigidity; semiclassical limit; random wave model