SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Quantum Dynamics and Many-Body Systems

DY 43.7: Poster

Donnerstag, 30. März 2023, 13:00–16:00, P1

Classical and quantum escape dynamics in the vicinity of hyperbolic fixed points — •Alexander Hempel, Jonas Stöber, and Arnd Bäcker — TU Dresden, Institut für Theoretische Physik, Dresden, Germany

For an ensemble of orbits started in the vicinity of an inverse hyperbolic fixed point in the area-preserving standard map we find a slow, non-exponential decay of the survival probability. It turns out that this is governed by the geometry of the stable and unstable manifolds which form a partial barrier enclosing a resonance zone. An analysis of transit times through the resonance zone using the lobe dynamics of the partial barrier, including re-entrance of orbits, explains the non-exponential decay. Quantum mechanically, coherent states follow the classical behavior for remarkably long times.