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A scalable, deterministic array of single photon nonlinearities in the solid state holds great potential for both fundamental physics and technological applications, but its realization has proved extremely challenging. Here we explore a hybrid light-matter platform, marrying an atomically thin two-dimensional material to a photonic crystal cavity, and analyze its second-order coherence function. By patterning the two-dimensional material into different sizes, we demonstrate strong antibunching with g<sup>(2)</sup> (0) ~ 10<sup>-3</sup>, opening a possible route to building scalable, on-chip quantum simulators.

Strong Photon Antibunching in Weakly Nonlinear Two-Dimensional Exciton-Polaritons