Universality in the flooding of regular islands by chaotic states

Arnd Bäcker, Roland Ketzmerick, and Alejandro G. Monastra
Phys. Rev. E 75, 066204 – Published 7 June 2007

Abstract

We investigate the structure of eigenstates in systems with a mixed phase space in terms of their projection onto individual regular tori. Depending on dynamical tunneling rates and the Heisenberg time, regular states disappear and chaotic states flood the regular tori. For a quantitative understanding we introduce a random matrix model. The resulting statistical properties of eigenstates as a function of an effective coupling strength are in very good agreement with numerical results for a kicked system. We discuss the implications of these results for the applicability of the semiclassical eigenfunction hypothesis.

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  • Received 15 January 2007

DOI:https://doi.org/10.1103/PhysRevE.75.066204

©2007 American Physical Society

Authors & Affiliations

Arnd Bäcker1, Roland Ketzmerick1, and Alejandro G. Monastra1,2

  • 1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
  • 2Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250, 1429 Buenos Aires, Argentina

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Vol. 75, Iss. 6 — June 2007

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