Multifractality and intermediate statistics in quantum maps

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We 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.
4 pages, 4 figures

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Chaotic Dynamics, Mesoscale and Nanoscale Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/156948

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2029
 http://arxiv.org/abs/0711.2029
 Phys. Rev. E 77, 035201(R) (2008)
 doi:10.1103/PhysRevE.77.035201

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arXiv