Synchronization and spacetime vortices in one-dimensional driven-dissipative condensates and coupled oscillator models
arXiv:2304.12129 · doi:10.1103/PhysRevB.108.195302
Abstract
Driven-dissipative condensates, such as those formed from polaritons, expose how the coherence of Bose-Einstein condensates evolves far from equilibrium. We consider the phase and frequency ordering in the steady-states of a one-dimensional lattice of condensates, described by a coupled oscillator model with non-odd couplings, and include both time-dependent noise and a static random potential. We present numerical results for the phase and frequency distributions, and discuss them in terms of the Kardar-Paraisi-Zhang equation and the physics of spacetime vortices. We find that the nucleation of spacetime vortices causes the breakdown of the single-frequency steady-state and produces a variation in the frequency with position. Such variation would provide an experimental signature of spacetime vortices. More generally, our results expose the nature of sychronization in oscillator chains with non-odd couplings, random frequencies, and noise.
arXiv comment8 pages, 4 figures. v2: author accepted version with minor clarifications and improvements to figures
References in corpus (28)
- Quantum fluids of light
- Universality classes in nonequilibrium lattice systems
- Spontaneous formation and optical manipulation of extended polariton condensates
- Dynamical Critical Phenomena in Driven-Dissipative Systems
- Observation of KPZ universal scaling in a one-dimensional polariton condensate
- Topological order and equilibrium in a condensate of exciton-polaritons
- Radiative coupling and weak lasing of exciton-polariton condensates
- Bose glass and superfuid phases of cavity polaritons
- Unstable and stable regimes of polariton condensation
- Scaling properties of one-dimensional driven-dissipative condensates
- Temporal coherence of one-dimensional non-equilibrium quantum fluids
- Time-Delay Polaritonics
- The spatial coherence of weakly interacting one-dimensional non-equilibrium Bosonic quantum fluids
- Synchronization crossover of polariton condensates in weakly disordered lattices
- Space-time vortex driven crossover and vortex turbulence phase transition in one-dimensional driven open condensates
- Polariton Condensation in a One-Dimensional Disordered Potential
- Engineering spatial coherence in lattices of polariton condensates
- Pattern phase diagram for 2D arrays of coupled limit-cycle oscillators
- Superfluid Stiffness of a Driven Dissipative Condensate with Disorder
- Kardar-Parisi-Zhang universality in the phase distributions of one-dimensional exciton-polaritons
- Quasi regular concentric waves in heterogeneous lattices of coupled oscillators
- From Kardar-Parisi-Zhang scaling to explosive desynchronization in arrays of limit-cycle oscillators
- Accessing Kardar-Parisi-Zhang universality sub-classes with exciton polaritons
- Topological Defects in Anisotropic Driven Open Systems
- Synchronization in disordered oscillatory media: a nonequilibrium phase transition for driven-dissipative bosons
- Cavity Polariton Condensate in a Disordered Environment
- Nonequilibrium criticality driven by Kardar-Parisi-Zhang fluctuations in the synchronization of oscillator lattices
- Searching for the Kardar-Parisi-Zhang phase in microcavity polaritons