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

TL;DR

This work studies exciton-polariton condensation in 1D and 2D microcavities under coherent near-resonant and incoherent non-resonant pumping, incorporating strong polariton–polariton correlations into mean-field equations with $g/\Gamma_p$ as the key parameter and $\Gamma_p = \hbar \gamma_c$. The authors solve the driven-dissipative mean-field model using a finite-difference spatial discretization and a 4th-order Runge–Kutta time integrator, analyzing both spinless and spinful variants. They demonstrate blockade-like, quantum-regime dynamics as $g/\Gamma_p$ increases from ~1 to 100, showing substantial suppression of condensate populations and emergent space–time density patterns. The results hold for both resonant and non-resonant pumping, suggesting routes to single-polariton control and quantum photonic devices in 1D and 2D microcavities.

Abstract

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.

Figures (28)

• Figure 1: Evolution of the density of exciton-polaritons against time with the ratio $g/\Gamma_p = 1.132$ for coherent, near-resonant pumping.
• Figure 2: Evolution of the density of exciton-polaritons against time with the ratio $g/\Gamma_p = 10$ for coherent, near-resonant pumping.
• Figure 3: Evolution of the density of exciton-polaritons against time with the ratio $g/\Gamma_p = 100$ for coherent, near-resonant pumping.
• Figure 4: Density of exciton-polaritons with the ratio $g/\Gamma_p = 1.132$ for coherent, near-resonant pumping for spin $\sigma = +1$.
• Figure 5: Density of exciton-polaritons with the ratio $g/\Gamma_p = 10$ for coherent, near-resonant pumping for spin $\sigma = +1$.