Regensburg 2025 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Poster: Quantum Dynamics and Many-body Systems

DY 29.7: Poster

Wednesday, March 19, 2025, 15:00–18:00, P4

Phase-space correlations of resonances in chaotic scattering systems — •Florian Lorenz and Roland Ketzmerick — TU Dresden, Institute of Theoretical Physics, Dresden, Germany

Chaotic eigenfunctions in closed quantum systems show strong phase-space correlations along classical trajectories [1]. These correlations extend across the whole system size and persist in the semiclassical limit [1]. We here expand this analysis to open quantum maps and scattering systems, in particular the kicked rotor and a dielectric cavity. To this end, we generalize a time-dependent correlator suggested in [1] to the case of an open system using left- and right resonance states. For quantum maps we find similar results as for closed systems. For the dielectric cavity the correlations propagate as wave fronts through the system.

• [1] H. Schanz, Phase-Space Correlations of Chaotic Eigenstates, Phys. Rev. Lett. 94, 134101 (2005).

Keywords: Quantum Chaos; Chaotic scattering; resonance states; Correlations