Stochastic formation of polariton condensates in two degenerate orbital states

Abstract

We explore the exciton-polariton condensation in two degenerate orbital states. In the honeycomb lattice potential, at the third band we have two degenerate vortex-antivortex lattice states at inequivalent $K$- and $K^{\prime }$-points. We have observed energetically degenerate condensates within the linewidth $\sim$0.3 meV, and directly measured the vortex-antivortex lattice phase order of the order parameter. We have also observed the intensity anticorrelation between polariton condensates at the $K$- and $K^{\prime }$-points. We relate this intensity anticorrelation to the dynamical feature of polariton condensates induced by the stochastic relaxation from the common particle reservoir.