Missing levels in intermediate spectra

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dc.contributor.authorHita-Perez, Maria
dc.contributor.authorMuñoz Muñoz, Laura
dc.contributor.authorMolina, Rafael A.
dc.date.accessioned2024-12-11T18:24:30Z
dc.date.available2024-12-11T18:24:30Z
dc.date.issued2023-11-28
dc.descriptionCSIC Research Platform on Quantum Technologies PTI-001
dc.description.abstractWe derive an expression for the nearest-neighbor spacing distribution P(s) of the energy levels of quantum systems with intermediate dynamics between regularity and chaos and missing levels due to random experimental errors. The expression is based on the Brody distribution, the most widely used for fitting mixed spectra as a function of one parameter. By using Monte Carlo simulations of intermediate spectra based on the beta-Hermite ensemble of random matrix theory (RMT), we evaluate the quality of the formula and its suitability for fitting purposes. Estimations of the Brody parameter and the fraction of missing levels can be obtained by a least-square two-parameter fitting of the experimental P(s). The results should be important to distinguish the origins of deviations from RMT in experimental spectra.
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipConsejo Superior de Investigaciones Cientificas (España)
dc.description.sponsorshipEuropean Commission
dc.description.sponsorshipMinisterio de Ciencia e Innovación (España)
dc.description.sponsorshipAgencia Estatal deInvestigación (España)
dc.description.statuspub
dc.identifier.citationMaría Hita-Pérez et al 2023 J. Phys. A: Math. Theor. 56 505702
dc.identifier.doi10.1088/1751-8121/ad0d1e
dc.identifier.essn1751-8121
dc.identifier.issn1751-8113
dc.identifier.officialurlhttp://doi.org/10.1088/1751-8121/ad0d1e
dc.identifier.relatedurlhttps://iopscience.iop.org/article/10.1088/1751-8121/ad0d1e
dc.identifier.urihttps://hdl.handle.net/20.500.14352/112479
dc.issue.number505702
dc.journal.titleJournal of Physics A: Mathematical and Theoretical
dc.language.isoeng
dc.page.final15
dc.page.initial1
dc.publisherIOP Publishing Ltd
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/899561/EU
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-094180-B-I00/ES/DINAMICA, TOPOLOGIA E INTEGRABILIDAD EN SISTEMAS CUANTICOS DE MUCHOS CUERPOS/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-106820RB-C21/ES/ESTUDIO TEORICO DE LA DEGENERACION SINTONIZABLE DE ESPIN Y DE VALLE EN NANOSISTEMAS CON ROTURA DE SIMETRIA/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-098868-B-I00/ES/CENTELLEADORES RAPIDOS PARA ESTRUCTURA NUCLEAR Y APLICACIONES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI//PID2021-126998OB-I00
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI//PID2022-136285NB
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.cdu539.1
dc.subject.keywordQuantum chaos
dc.subject.keywordSpectral statistics
dc.subject.keywordMissing levels
dc.subject.ucmFísica nuclear
dc.subject.unesco2207 Física Atómica y Nuclear
dc.titleMissing levels in intermediate spectra
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number56 (50)
dspace.entity.typePublication
relation.isAuthorOfPublication145acd47-d011-4f1d-864c-e9f7aa0751af
relation.isAuthorOfPublication.latestForDiscovery145acd47-d011-4f1d-864c-e9f7aa0751af

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