Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 35: Quantum Chaos and Coherent Dynamics

DY 35.7: Vortrag

Mittwoch, 7. September 2022, 17:15–17:30, H20

Classical and Quantum Dynamics in Resonance Channels — •Jan Robert Schmidt, Arnd Bäcker, and Roland Ketzmerick — TU Dresden, Institut für Theoretische Physik, Dresden, Germany

In higher-dimensional Hamiltonian systems resonance channels play a prominent role for chaotic transport. It is typically slow due to Arnold diffusion, leading quantum mechanically to dynamical localization. Resonance channels widen as they approach the chaotic sea. We show that this geometry induces classically a drift. Quantum mechanically this leads to a transition from localization to delocalization if the drift is strong enough. This is quantified using a transition parameter depending on classical quantities only. Numerically this is confirmed for a 4D symplectic map.