Dynamics of Onsager vortex clustering in decaying turbulent polariton quantum fluids

We investigate the turbulent properties of a confined driven-dissipative polariton quantum fluid after a pulsed excitation. Using numerical simulations, we provide insight into the vortex clustering processes that emerge during the relaxation dynamics of the initially injected vortex cloud. A confrontation between conservative and non-conservative dynamics reveals that the onset of clusterization strongly depends on the interplay between the different characteristic system lengths and time scales at stake, with an additional time scale due to dissipation in the non-conservative case. Quantification of the clustering observables allows us to numerically characterize the optimal conditions for observing Onsager condensation in decaying polariton systems, demonstrating its experimental reachability under pulse excitation. These findings hold significance for exploring the onset of turbulent dynamics in open systems, spanning both classical and quantum domains.