  We investigate the quantum nonlinear dynamics of a resonantly excited
photonic quantum dot embedding a quantum well in the strong exciton-photon
coupling regime. Within a master equation approach, we study the polariton
quantum blockade and the generation of single photon states due to
polariton-polariton interactions as a function of the photonic dot geometry,
spectral linewidths and energy detuning between quantum well exciton and
confined photon mode. The second order coherence function $g^{(2)}(t,t')$ is
calculated for both continuous wave and pulsed excitations.
