  The time dependence of the correlations between the photons, emitted from the
microcavity with embedded quantum dot under incoherent pumping, is studied
theoretically. Analytical expressions for the second-order correlation function
g2(t) are presented in strong and weak coupling regimes. At moderate pumping
the correlation function demonstrates Rabi oscillations, while at larger
pumping it shows monoexponential decay. The decay time of the correlations
nonmonotonously depends on the pumping value and has a maximum corresponding to
the self-quenching transition.
