Structure of resonance eigenfunctions for chaotic systems with partial escape

Konstantin Clauß, Eduardo G. Altmann, Arnd Bäcker, and Roland Ketzmerick
Phys. Rev. E 100, 052205 – Published 12 November 2019

Abstract

Physical systems are often neither completely closed nor completely open, but instead are best described by dynamical systems with partial escape or absorption. In this paper we introduce classical measures that explain the main properties of resonance eigenfunctions of chaotic quantum systems with partial escape. We construct a family of conditionally invariant measures with varying decay rates by interpolating between the natural measures of the forward and backward dynamics. Numerical simulations in a representative system show that our classical measures correctly describe the main features of the quantum eigenfunctions: their multifractal 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.

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  • Received 31 July 2019

DOI:https://doi.org/10.1103/PhysRevE.100.052205

©2019 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Konstantin Clauß1, Eduardo G. Altmann2, Arnd Bäcker1,3, and Roland Ketzmerick1,3

  • 1Institut für Theoretische Physik and Center for Dynamics, Technische Universität Dresden, 01062 Dresden, Germany
  • 2School of Mathematics and Statistics, University of Sydney, Camperdown, 2006 New South Wales, Australia
  • 3Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany

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Issue

Vol. 100, Iss. 5 — November 2019

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