57834 20250619084222.0 doi 10.1103/PhysRevE.90.052904 sideral 88516 ART-2014-88516 eng Hermoso de Mendoza, Ignacio Synchronization in a semiclassical Kuramoto model 2014 Access copy available to the general public Unrestricted Synchronization is a ubiquitous phenomenon occurring in social, biological, and technological systems when the internal rythms of their constituents are adapted to be in unison as a result of their coupling. This natural tendency towards dynamical consensus has spurred a large body of theoretical and experimental research in recent decades. The Kuramoto model constitutes the most studied and paradigmatic framework in which to study synchronization. In particular, it shows how synchronization appears 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 have been considered to address different physical realizations. However, the Kuramoto model has been studied only within the domain of classical dynamics, thus neglecting its applications for the study of quantum synchronization phenomena. Based on a system-bath approach and within the Feynman path-integral formalism, we derive equations for the Kuramoto model by taking into account the first quantum fluctuations. We also analyze its critical properties, the main result being the derivation of the value for the synchronization onset. This critical coupling increases its value as quantumness increases, as a consequence of the possibility of tunneling that quantum fluctuations provide. info:eu-repo/grantAgreement/ES/DGA/FENOL-GROUP info:eu-repo/grantAgreement/ES/MINECO/FIS2011-14539-E info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167 info:eu-repo/grantAgreement/ES/MINECO/FIS2012-38266-C02-01 info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.288 2014 PHYSICS, MATHEMATICAL 5 / 54 = 0.093 2014 Q1 T1 PHYSICS, FLUIDS & PLASMAS 9 / 31 = 0.29 2014 Q2 T1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Pachón, Leonardo A Gómez-Gardeñes, Jesús Zueco Lainez, David Universidad de Zaragoza (orcid)0000-0003-4478-1948 2003 395 Universidad de Zaragoza Dpto. Física Materia Condensa. Área Física Materia Condensada 90, 5 (2014), 052904 [12 pp] Phys. rev., E Stat. nonlinear soft matter phys. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 1539-3755 922968 http://zaguan.unizar.es/record/57834/files/texto_completo.pdf Versión publicada 132198 http://zaguan.unizar.es/record/57834/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:57834 articulos driver 2025-06-19-08:41:23 ARTICLE