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SKM 2021 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 3: Poster Sesssion I: Quantum Chaos and Many-Body Quantum Dynamics

DY 3.1: Poster

Dienstag, 28. September 2021, 17:30–19:30, P

Drift-induced Delocalization Transition in Resonance Channels — •Jan Robert Schmidt, Arnd Bäcker, and Roland Ketzmerick — TU Dresden, Institut für Theoretische Physik, Dresden

In higher-dimensional Hamiltonian systems resonance channels play a prominent role. Transport 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 induces (i) classically a drift and (ii) quantum mechanically leads to delocalization if the drift is strong enough. We propose a scaling of the delocalization transition by a single transition parameter. These phenomena are confirmed in a 4D symplectic map with a large resonance channel.

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