Origin of the 1/f(alpha) spectral noise in chaotic and regular quantum systems

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dc.contributor.authorPachón, Leonardo A.
dc.contributor.authorRelaño Pérez, Armando
dc.contributor.authorPeropadre, Borja
dc.contributor.authorAspuru-Guzik, Alán
dc.date.accessioned2023-06-17T13:20:14Z
dc.date.available2023-06-17T13:20:14Z
dc.date.issued2018-10-19
dc.description©2018 American Physical Society. Discussions with Thomas Dittrich are acknowledged with pleasure. This work was supported by the Comité para el Desarrollo de la Investigación (CODI) of Universidad de Antioquia, Colombia under the Estrategia de Sostenibilidad and Grant No. 2015-7631, and by Colombian Institute for the Science and Technology Development (COLCIENCIAS) under Grant No. FP44842-119-2016. A.R. is supported by Spanish Grants No. FIS2012-35316 and No. FIS2015-63770-P (MINECO/FEDER).
dc.description.abstractBased on the connection between the spectral form factor and the probability to return, the origin of the energy level fluctuation 1/f(alpha) noise in fully chaotic and fully integrable systems is traced to the quantum interference between invariant manifolds of the classical dynamics and the dimensionality of those invariant manifolds. This connection and the order-to-chaos transition are analyzed in terms of the statistics of Floquet's quasienergies of a classically chaotic driving nonlinear system. An immediate prediction of the connection established here is that in the presence of decoherence, the spectral exponent a takes the same value, alpha = 2, for both fully chaotic and fully integrable systems.
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)/FEDER
dc.description.sponsorshipComité para el Desarrollo de la Investigación (CODI) of Universidad de Antioquia, Colombia under the Estrategia de Sostenibilidad
dc.description.sponsorshipColombian Institute for the Science and Technology Development (COLCIENCIAS)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/51630
dc.identifier.doi10.1103/PhysRevE.98.042213
dc.identifier.issn2470-0045
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevE.98.042213
dc.identifier.relatedurlhttps://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/13135
dc.issue.number4
dc.journal.titlePhysical review E
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.projectID(FIS2012-35316; FIS2015-63770-P)
dc.relation.projectIDFP44842-119-2016
dc.relation.projectID2015-7631
dc.rights.accessRightsopen access
dc.subject.cdu536
dc.subject.keywordPeriodic-orbits
dc.subject.keywordBound-states
dc.subject.keywordSpace
dc.subject.ucmTermodinámica
dc.subject.unesco2213 Termodinámica
dc.titleOrigin of the 1/f(alpha) spectral noise in chaotic and regular quantum systems
dc.typejournal article
dc.volume.number98
dspace.entity.typePublication
relation.isAuthorOfPublication53fed635-944b-485a-b13a-ea8f9355b7aa
relation.isAuthorOfPublication.latestForDiscovery53fed635-944b-485a-b13a-ea8f9355b7aa
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