Phase Ordering Kinetics Of A Nonequilibrium Exciton-Polariton Condensate

We investigate the process of coarsening via annihilation of vortex-antivortex pairs, following the quench to the condensate phase in a nonresonantly pumped polariton system. We find that the late-time dynamics is an example of universal phase-ordering kinetics, characterized by scaling of correlation functions in time. Depending on the parameters of the system, the evolution of the characteristic length scale L(t) can be the same as for the two-dimensional XY model, described by a power law with the dynamical exponent z approximate to 2 and a logarithmic correction, or z approximate to 1 which agrees with previous studies of conservative superfluids.