Dynamical critical exponents in driven-dissipative quantum systems

TL;DR

This paper investigates the phase-ordering dynamics of driven-dissipative microcavity polaritons, confirming dynamical scaling behavior and identifying a dynamical critical exponent of approximately 2, with topological defects influencing the evolution.

Contribution

It demonstrates that driven-dissipative polariton systems exhibit dynamical scaling and identifies the critical exponent and defect roles in their phase-ordering dynamics.

Findings

System exhibits self-similar correlator patterns at late times.

Polaritons characterized by dynamical critical exponent z ~ 2.

Logarithmic corrections due to topological defects affect vortex decay and length-scale growth.

Abstract

We study the phase-ordering of parametrically and incoherently driven microcavity polaritons after an infinitely rapid quench across the critical region. We confirm that the system, despite its driven-dissipative nature, fulfils dynamical scaling hypothesis for both driving schemes by exhibiting self-similar patterns for the two-point correlator at late times of the phase ordering. We show that polaritons are characterised by the dynamical critical exponent z ~ 2 with topological defects playing a fundamental role in the dynamics, giving logarithmic corrections both to the power-law decay of the number of vortices and to the associated growth of the characteristic length-scale.