Fig. 5: Correlations dependence from polariton nonlinearity.

The curves labeled as GAA(t = Tdip, Uk/J) and GAB(t = Tdip, Uk/J) describe the behavior of auto- and cross-correlation functions, respectively, for t = Tdip and as a function of the polariton two-body interaction, Uk/J. The condition Uk/J = 0 corresponds to the Hong-Ou-Mandel effect, i.e., GAA(t = Tdip, Uk/J = 0) = 0.5 and GAB(t = Tdip, Uk/J = 0) = 0, respectively. Dotted and dashed curves describe the dependence of the GAA maximum and GAB minimum values, respectively, on Uk/J. Such a condition is identified by \(t=\tilde{t}\), with \(\tilde{t}=\pi /(2\sqrt{{U}_{k}^{2}+4{J}^{2}})\).