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DY: Fachverband Dynamik und Statistische Physik
DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems
DY 53.5: Poster
Donnerstag, 19. März 2020, 15:00–18:00, P1A
Structure of resonance eigenfunctions for chaotic systems with partial escape — •Konstantin Clauß1, Eduardo Altmann2, Arnd Bäcker1,3, and Roland Ketzmerick1,3 — 1TU Dresden, Institut für Theoretische Physik — 2School of Mathematics and Statistics, University of Sydney — 3MPI für Physik komplexer Systeme, Dresden
Physical systems are often neither completely closed nor completely open, but instead they are best described by dynamical systems with partial escape or absorption. We introduce classical measures that explain the main properties of resonance eigenfunctions of chaotic quantum systems with partial escape [1]. We construct a family of conditionally-invariant measures with varying decay rates by interpolating between the natural measures of the forward and backward dynamics. We show numerically, that these classical measures describe the main features of quantum resonance eigenfunctions: their multi-fractal phase space distribution, their product structure along stable and unstable directions, and their dependence on the decay rate. The (Jensen-Shannon) distance between classical and quantum measures goes to zero in the semiclassical limit for long- and short-lived eigenfunctions, while it remains finite for intermediate cases.
[1] K. Clauß, E. G. Altmann, A. Bäcker, and R. Ketzmerick, Phys. Rev. E 100 (2019), 052205.