Universality in the flooding of regular islands by chaotic states

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dc.creatorBäcker, Arnd
dc.creatorKetzmerick, Roland
dc.creatorMonastra, Alejandro G.
dc.date2007-01-16
dc.date2007-06-14
dc.date.accessioned2026-07-07T08:09:58Z
dc.date.available2026-07-07T08:09:58Z
dc.descriptionWe 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.
dc.description11 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/nlin/0701032
dc.identifierhttp://arxiv.org/abs/nlin/0701032
dc.identifierPhys. Rev. E 75, 066204 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.066204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131703
dc.subjectChaotic Dynamics
dc.titleUniversality in the flooding of regular islands by chaotic states
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