Flooding of Chaotic Eigenstates into Regular Phase Space Islands

2004/09/30 by Arnd Bäcker, A. Bäcker, Roland Ketzmerick +3 · 1 citation
Physics and Astronomy · #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Theoretical and Computational Physics #nlin.CD

paper · pdf · doi:10.1103/physrevlett.94.054102

published as Physical Review Letters {\bf 94}, 054102 (2005) · 4 pages, 4 figures

arxiv created 2005/02/02 · openalex publication_date 2005/02/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We introduce a criterion for the existence of regular states in systems with a mixed phase space. If this condition is not fulfilled chaotic eigenstates substantially extend into a regular island. Wave packets started in the chaotic sea progressively flood the island. The extent of flooding by eigenstates and wave packets increases logarithmically with the size of the chaotic sea and the time, respectively. This new effect is observed for the example of island chains with just ten islands.

Citations

• Semiclassical energy level statistics in the transition region between integrability and chaos: transition from Brody-like to Berry-Robnik behaviour

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