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dc.contributor.authorEastham, Paul
dc.date.accessioned2021-11-03T08:25:14Z
dc.date.available2021-11-03T08:25:14Z
dc.date.issued2021
dc.date.submitted2021en
dc.identifier.citationJohn P. Moroney and P. R. Eastham, Synchronization in disordered oscillator lattices: Nonequilibrium phase transition for driven-dissipative bosons, Physical Review Research, 2021, 3, 043092en
dc.identifier.otherY
dc.identifier.urihttp://hdl.handle.net/2262/97506
dc.descriptionPUBLISHEDen
dc.description.abstractWe show that lattices of phase oscillators with random natural frequencies undergo a transition from a desynchronized to a synchronized state for dimensions d<4. The oscillators are described by a generalization of the nearest-neighbor Kuramoto model with an additional cosine coupling term. This model may be derived from the complex Ginzburg-Landau equations for a lattice of driven-dissipative Bose-Einstein condensates of exciton polaritons. We derive phase diagrams that classify the desynchronized and synchronized states, focusing on the behavior in one and two dimensions. This is achieved by outlining the connection of the oscillator model to the quantum description of localization of a particle in a random potential through a mapping to a modified Kardar-Parisi-Zhang equation. Our results indicate that synchronization in coupled polariton condensates and other examples of low-dimensional lattices of coupled oscillators is not destroyed by randomness in their natural frequencies.en
dc.format.extent043092en
dc.language.isoenen
dc.relation.ispartofseriesPhysical Review Research;
dc.relation.ispartofseries3;
dc.rightsYen
dc.subjectExciton polaritonen
dc.subjectSynchronizationen
dc.subjectPolariton condensateen
dc.subjectGeneral Physicsen
dc.subjectCondensed Matter & Materials Physicsen
dc.subjectNonlinear Dynamicsen
dc.titleSynchronization in disordered oscillator lattices: Nonequilibrium phase transition for driven-dissipative bosonsen
dc.typeJournal Articleen
dc.contributor.sponsorIrish Research Council (IRC)en
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/easthamp
dc.identifier.rssinternalid234397
dc.identifier.doihttps://dx.doi.org/10.1103/PhysRevResearch.3.043092
dc.rights.ecaccessrightsopenAccess
dc.contributor.sponsorGrantNumberGOIPG/2019/2824en
dc.subject.TCDThemeNanoscience & Materialsen
dc.subject.TCDTagSEMICONDUCTORSen
dc.subject.TCDTagSYNCHRONIZATIONen
dc.subject.TCDTagTheoretical Physicsen
dc.subject.TCDTagquantum coherenceen
dc.identifier.rssurihttps://link.aps.org/doi/10.1103/PhysRevResearch.3.043092
dc.identifier.orcid_id0000-0002-7054-1457
dc.status.accessibleNen


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