Temporal coherence of one-dimensional non-equilibrium quantum fluids

Abstract

We theoretically investigate the time dependence of the first order coherence function for a one-dimensional driven dissipative non-equilibrium condensate. Simulations on the generalized Gross-Pitaevskii equation (GGPE) show that the characteristic time scale of exponential decay agrees with the linearized Bogoliubov theory in the regime of large interaction energy. For very weak interactions, the temporal correlation deviates from the linear theory, and instead respects the dynamic scaling of the Kardar-Parisi-Zhang universality class. This nonlinear dynamics is found to be quantitatively captured by a noisy Kuramoto-Sivashinsky equation for the phase dynamics.

5 pages, 4 figures

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• Quantum fluids of light
• Non-perturbative renormalization group for the Kardar-Parisi-Zhang equation
• Non-equilibrium quasi-condensates in reduced dimensions
• Algebraic order and the Berezinskii-Kosterlitz-Thouless transition in an exciton-polariton gas
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