Interplay between polarization and quantum correlations of confined polaritons

We investigate polariton quantum correlations in a coherently driven box cavity the low driving regime, with particular focus on accounting for polarization degree of freedom. The possibility having different interaction strengths between co- and cross-circularly polarized polaritons as well realistic linear-polarization splitting allows one to model system two coupled nonlinear resonators both self- cross-Kerr-like nonlinearities, thus making our results potentially relevant other experimental platforms. Within an effective wave-function approach, we obtain analytical expressions steady-state polarization-resolved populations second-order correlation functions, which agree very numerical obtained from Lindblad master equation. Notably, highlight that depending excitation (circular or linear), unconventional (interference-mediated) conventional (mediated by nonlinearities) antibunchings can be investigated single cavity. Moreover, using results, argue recent experiments confined fiber-cavity are likely have probed regime where dominant is cross-polarized polaritons, characteristic Feshbach resonance. furthermore close resonance two-channel show systems large biexciton binding energies, such atomically thin semiconductors, promising platforms realizing strong antibunching.