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• W3210569897 abstract "We show that a lattice of phase oscillators with random natural frequencies, described by a generalization of the nearest-neighbor Kuramoto model with an additional cosine coupling term, undergoes a phase transition from a desynchronized to a synchronized state. This model may be derived from the complex Ginzburg-Landau equations describing a disordered lattice of driven-dissipative Bose-Einstein condensates of exciton polaritons. We derive phase diagrams that classify the desynchronized and synchronized states that exist in both 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 long-range order in polariton condensates, and other systems of coupled oscillators, is not destroyed by randomness in their natural frequencies." @default.
• W3210569897 created "2021-11-08" @default.
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• W3210569897 date "2021-11-01" @default.
• W3210569897 modified "2023-10-16" @default.
• W3210569897 title "Synchronization in disordered oscillator lattices: Nonequilibrium phase transition for driven-dissipative bosons" @default.
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• W3210569897 doi "https://doi.org/10.1103/physrevresearch.3.043092" @default.
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