Publication:
The Quantum Kuramoto Model

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col.comunidadvinculadaComunidad científica colombianaes_CO
col.contrato0005-2013es_CO
col.date.proyecto2013-02
col.programa.colcienciasPrograma Nacional de Ciencias Básicases_CO
col.tipo.espGeneración de contenidos impresos, radiales, audiovisuales, multimedia, virtuales y Creative Commonses_CO
dc.audienceAdministradores de ciencia y tecnologíaes_CO
dc.audienceInvestigadoreses_CO
dc.coverage.spatialColombiaes_CO
dc.creatorHermoso de Mendoza, Ignacio
dc.creatorPachón, Leonardo Augusto
dc.creatorGómez-Gardeñes, Jesús
dc.creatorZueco, David
dc.creator.corporativoUniversidad de Antioquia, UdeAes_CO
dc.creator.mailleonardo.pachon@fisica.udea.edu.coes_CO
dc.date.accessioned2019-03-17T21:07:19Z
dc.date.available2019-03-17T21:07:19Z
dc.date.embargoEndinfo:eu-repo/date/embargoEnd/2024-01-31es_CO
dc.date.issued2013-07-17
dc.description.abstractSynchronization is an ubiquitous phenomenon occurring in social, biological and technological systems when the internal rhythms of a large number of units evolve coupled. This natural tendency towards dynamical consensus has spurred a large body of theoretical and experimental research during the last decades. The Kuramoto model constitutes the most studied and paradigmatic framework to study synchronization. In particular, it shows how synchronization shows up as a phase transition from a dynamically disordered state at some critical value for the coupling strength between the interacting units. The critical properties of the synchronization transition of this model have been widely studied and many variants of its formulations has been considered to address different physical realizations. However, the Kuramoto model has been only studied within the domain of classical dynamics, thus neglecting its applications for the study of quantum synchronization phenomena. Here we provide with the quantization of the Kuramoto model. Based on a system-bath approach and within the Feynman path-integral formalism, we derive the equations for the Kuramoto model by taking into account the first quantum fluctuations. We also analyze its critical properties being the main result the derivation of the value for the synchronization onset. This critical coupling turns up to increase its value as quantumness increases, as a consequence of the possibility of tunneling that quantum fluctuations provide.es_CO
dc.description.isprojectnoes_CO
dc.description.projectid1115-569-34912es_CO
dc.description.sponsorshipDepartamento Administrativo de Ciencia, Tecnología e Innovación [CO] Colcienciases_CO
dc.formatpdfes_CO
dc.format.extent8 páginases_CO
dc.identifier.bibliographicCitationContiene 36 referencias bibliográficas. Véase el documento adjuntoes_CO
dc.identifier.urihttp://repositorio.colciencias.gov.co/handle/11146/34056
dc.language.isoenges_CO
dc.relation.ispartofBaños térmicos cuánticos: influencia de la no-gaussianidad estadística y no-localidad dinámica en la evolución temporal de sistemas cuánticos abiertos. La publicación completa está disponible en : <a href="http://repositorio.colciencias.gov.co/handle/11146/34053" target="blank">http://repositorio.colciencias.gov.co/handle/11146/34053</a>es_CO
dc.rightsinfo:eu-repo/semantics/embargoedAccesses_CO
dc.subject.lembModelo de Kuramotoes_CO
dc.subject.lembTrayectoria de Feynmanes_CO
dc.subject.lembFísica matemáticaes_CO
dc.subject.lembTeoría cuánticaes_CO
dc.subject.spinesDinámica de sistemases_CO
dc.subject.spinesFuerzas moleculareses_CO
dc.subject.spinesTeoría de campos (física)es_CO
dc.subject.spinesTermodinámicaes_CO
dc.titleThe Quantum Kuramoto Modeles_CO
dc.typeOtroses_CO
dc.type.driverinfo:eu-repo/semantics/other.generacióndecontenidoses_CO
dc.type.hasversioninfo:eu-repo/semantics/allowedVersiones_CO
dspace.entity.typePublication

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