Nontrivial photon statistics with low resolution-threshold photon counters

We address the reconstruction of photon statistics using realistic photodetectors having low quantum efficiency and finite resolution as photon counters. Using a maximum-likelihood method, based on measurements taken at different quantum efficiencies, we experimentally reconstruct the nontrivial photon statistics of the state obtained by mixing at a beam-splitter two phase-averaged coherent states. The effect of using different resolution thresholds is also discussed.