Analysis of exciton-polariton condensation under different pumping schemes for 1D and 2D microcavities including the effect of strong correlation between polaritons

Strongly correlated polaritons are necessary for entering the quantum photonic regime with many applications. We simulate exciton-polariton condensation using the finite-difference and 4th order Runge-Kutta methods with the strongly correlated polariton condition incorporated in the mean-field equations and analyze the polariton dynamics. This is done for coherent, near-resonant pumping as well as homogeneous, incoherent, non-resonant pumping. We find conditions akin to the polariton blockade in the dynamics.