Temporal coherence of one-dimensional non-equilibrium quantum fluids

TL;DR

This paper studies the time evolution of coherence in one-dimensional driven non-equilibrium quantum fluids, revealing different decay regimes and universal scaling behaviors through theoretical simulations and analytical models.

Contribution

It demonstrates the transition from linear Bogoliubov decay to nonlinear KPZ scaling in the coherence dynamics of non-equilibrium condensates.

Findings

Exponential decay matches linear theory at large interactions.

Deviations occur at weak interactions, following KPZ universality.

Noisy Kuramoto-Sivashinsky equation captures phase dynamics.

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.