English   español  
Por favor, use este identificador para citar o enlazar a este item: http://hdl.handle.net/10261/120991
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:

Synchronization in a semiclassical Kuramoto model

AutorHermoso de Mendoza, Ignacio; Pachón, Leonardo A.; Gómez-Gardeñes, Jesús; Zueco, David
Fecha de publicación2014
EditorAmerican Physical Society
CitaciónPhysical Review B 90: 052904 (2014)
ResumenSynchronization 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.
DescripciónUnder the terms of the Creative Commons Attribution License 3.0 (CC-BY).
Versión del editorhttp://dx.doi.org/10.1103/PhysRevE.90.052904
Identificadoresdoi: 10.1103/PhysRevE.90.052904
issn: 1539-3755
e-issn: 1550-2376
Aparece en las colecciones: (ICMA) Artículos
Ficheros en este ítem:
Fichero Descripción Tamaño Formato  
Kuramoto model.pdf901,34 kBAdobe PDFVista previa
Mostrar el registro completo

Artículos relacionados:

NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.