Probing photon energy statistics of an emitter using photon correlations

We investigate the possibility of measuring the homogeneous and inhomogeneous contribution to the linewidth of a spectrally diffusing single photon emitter using a simple photon correlation spectroscopy method (PCS). The photon energy statistics of the homogeneous line (poissonian) and of the spectral diffusion (first order markovian) being of different natures, they act differently on the half-line autocorrelation function (HLAF). We model here their effects and show it is possible to extricate them, opening the opportunity to determine separately the homogeneous linewidth, and the spectral diffusion amplitude.