Spatiotemporal scaling of two-dimensional nonequilibrium exciton-polariton systems with weak interactions

Abstract

We perform a numerical study on the two-dimensional nonequilibrium exciton-polariton systems driven by incoherent pumping based on the stochastic generalized Gross-Pitaevskii equation. We calculate the density fluctuation, coherence function, and scaling function. It is found that the correlations at short range agree with the Bogoliubov linear theory. While at large distance, both static and dynamic correlations are characterized by the nonlinear scaling behaviors of Kardar-Parisi-Zhang (KPZ) universality class, especially when the interaction is weak. In this regime, scaling analyses are crucial to capture the universal KPZ scaling features. In addition, the interaction between vortices is modified in the strong KPZ regime and leads to complex nonequilibrium vortex patterns.

8 pages, 8 figures

References in corpus (6)

• Quantum fluids of light
• Spatial Coherence of a Polariton Condensate
• Polaritonic Feshbach Resonance
• Temporal coherence of one-dimensional non-equilibrium quantum fluids
• Space-time vortex driven crossover and vortex turbulence phase transition in one-dimensional driven open condensates
• Noise-induced transition from superfluid to vortex state in two-dimensional nonequilibrium polariton condensates

Cited by in corpus (12)

• Observation of KPZ universal scaling in a one-dimensional polariton condensate
• Universality in driven open quantum matter
• Non-equilibrium Berezinskii-Kosterlitz-Thouless transition in driven-dissipative condensates
• Kardar-Parisi-Zhang universality in discrete two-dimensional driven-dissipative exciton polariton condensates
• Accessing Kardar-Parisi-Zhang universality sub-classes with exciton polaritons
• Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates
• Crossover in the dynamical critical exponent of a quenched two-dimensional Bose gas
• Searching for the Kardar-Parisi-Zhang phase in microcavity polaritons
• Coherence of a non-equilibrium polariton condensate across the interaction-mediated phase transition
• Unconventional Berezinskii-Kosterlitz-Thouless Transition in the Multicomponent Polariton System
• Phase diagram and universal scaling regimes of two-dimensional exciton-polariton Bose-Einstein condensates
• Noise-induced transition from superfluid to vortex state in two-dimensional nonequilibrium polariton condensates -- semi-analytical treatment