Multifractality and intermediate statistics in quantum maps

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dc.creatorMartin, J.
dc.creatorGiraud, O.
dc.creatorGeorgeot, B.
dc.date2007-11-13
dc.date.accessioned2026-07-07T09:26:59Z
dc.date.available2026-07-07T09:26:59Z
dc.descriptionWe study multifractal properties of wave functions for a one-parameter family of quantum maps displaying the whole range of spectral statistics intermediate between integrable and chaotic statistics. We perform extensive numerical computations and provide analytical arguments showing that the generalized fractal dimensions are directly related to the parameter of the underlying classical map, and thus to other properties such as spectral statistics. Our results could be relevant for Anderson and quantum Hall transitions, where wave functions also show multifractality.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0711.2029
dc.identifierhttp://arxiv.org/abs/0711.2029
dc.identifierPhys. Rev. E 77, 035201(R) (2008)
dc.identifierdoi:10.1103/PhysRevE.77.035201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156948
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.titleMultifractality and intermediate statistics in quantum maps
dc.typetext

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