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1/f(α) Noise and integrable systems

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dc.contributor.authorBarba, J. C
dc.contributor.authorFinkel Morgenstern, Federico
dc.contributor.authorGonzález López, Artemio
dc.contributor.authorRodríguez González, Miguel Ángel
dc.date.accessioned2023-06-20T03:56:08Z
dc.date.available2023-06-20T03:56:08Z
dc.date.issued2009
dc.description©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.
dc.description.abstractIn 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.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMICINN
dc.description.sponsorshipUCM–Banco Santander
dc.description.sponsorshipMICINN
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/31443
dc.identifier.doi10.1103/PhysRevE.80.047201
dc.identifier.issn1539-3755
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevE.80.047201
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44691
dc.issue.number4
dc.journal.titlePhysical review E
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2008-00209
dc.relation.projectIDGR58/08-910556
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordf noise
dc.subject.keywordChaos
dc.subject.keywordFluctuations
dc.subject.keywordQuantum theory
dc.subject.keywordHaldane-Shastry Type
dc.subject.keywordSpin chain
dc.subject.keywordBCN Type
dc.subject.keywordStatistics
dc.subject.keywordSpectrum
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.title1/f(α) Noise and integrable systems
dc.typejournal article
dc.volume.number80
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