Perspectives on 1/ƒ noise in quantum chaos



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Relaño Pérez, Armando and Molina, R. A. and Retamosa Granado, Joaquín and Muñoz, L. and Faleiro, E. and Gómez Gómez, José María (2010) Perspectives on 1/ƒ noise in quantum chaos. Journal of physics: Conference series, 239 . ISSN 1742-6588

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The power spectrum of the δ_(n) statistic of quantum spectra presents 1/ƒ^(α) noise. For chaotic systems α = 1 while for regular systems α = 2. Although the transition from regularity to chaos is non universal, for a wide variety of systems with a mixed phase space the value of α is intermediate between 1 and 2 and can be related to the fraction of regular or chaotic orbits in the total phase space. This statistic can be a very useful tool for the analysis of experimental spectra, specially in the case of missing levels or spectral sequences with mixed symmetries.

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© 2010 IOP Publishing Ltd. Symposium on Nuclear Physics (33rd. 2010. Morelos, México). This research has been supported in part by Spanish Government grant No. FIS2009-07277 and No. FIS2006-12783-C03-02, CSPD-2007 00042-Ingenio2010, and by the Universidad Complutense de Madrid grant UCM-910059. A.R. is supported by the CPAN Consolider program.

Uncontrolled Keywords:Power Spectrum, Symmetries
Subjects:Sciences > Physics > Thermodynamics
ID Code:27509
Deposited On:17 Dec 2014 10:18
Last Modified:03 Feb 2016 16:26

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