1/f^(α) Noise and integrable systems



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Barba, J. C: and Finkel Morgenstern, Federico and González López, Artemio and Rodríguez González, Miguel Ángel (2009) 1/f^(α) Noise and integrable systems. Physical review E, 80 (4). Part 2. ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.80.047201


In this paper, we show that there is a family of well-known integrable systems whose spectral fluctuations decay as 1/ f^ 4, and thus do not follow the 1/ f ^2 law recently conjectured for integrable systems. We present a simple theoretical justification of this fact, and propose an alternative characterization of quantum chaos versus integrability formulated directly in terms of the power spectrum of the spacings of the unfolded spectrum.

Item Type:Article
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©2009 The American Physical Society.
This work was supported in part by the MICINN Grant No. FIS2008-00209 and the UCM–Banco Santander Grant No. GR58/08-910556. J.C.B. acknowledges the financial support of the MICINN.

Uncontrolled Keywords:f noise; Chaos; Fluctuations; Quantum theory; Haldane-Shastry Type; Spin chain; BCN Type; Statistics; Spectrum
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:31443
Deposited On:15 Jul 2015 16:09
Last Modified:10 Dec 2018 15:09

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