Berlin 2018 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 69: Poster: Quantum Systems
DY 69.11: Poster
Donnerstag, 15. März 2018, 15:30–18:00, Poster A
Quantum localization on fractals in absorbing maps — •Konstantin Clauß1, Martin Körber1, Arnd Bäcker1,2, and Roland Ketzmerick1,2 — 1TU Dresden, Institut für Theoretische Physik, Dresden — 2MPI für Physik komplexer Systeme, Dresden
In chaotic quantum systems with escape a fundamental question concerns the phase-space localization of resonance states. It is known that a semiclassical description of individual states is given by some classical conditionally invariant measure with the same decay rate. It is not known, however, which specific measure is relevant for quantum mechanics. We combine conditional invariance with finite quantum resolution of the classical fractal chaotic saddle leading to a prediction of the corresponding measure. By this the typical phase-space distribution of resonance states for arbitrary decay rates is explained.