Photocount versus photon distributions

Roeland Van Wijk, Eduard P.A. Van Wijk, R. P. Bajpai

F. T. Arecchi

P. P. Gostev, С.А. Магницкий, A. S. Chirkin

An analytical recursive method for solving the inverse problem of photocount statistics, that is, for reconstructing the photon-number distribution from the photocount distribution, is proposed for few-photon light. It is shown that if the inverse problem is represented as a system of linear equations, then for finite distributions one can obtain a recurrence formula relating the photocount distribution and the photon-number distribution without restrictions on the quantum efficiency of photodetection.

F. A. Johnson, Thomas McLean, Edward R. Pike

M. Bertolotti

Hong-Yi Fan, Sen‐Yue Lou, Liyun Hu

For a dissipative channel governed by the master equation of the density operator describing the photon loss, we find that the photocount distribution formula at time t can be related to the initial photocount distribution by replacing the efficiency of the detector ξ with ξe −2κt , as if the quantum efficiency ξ of the detector becomes ξe −2κt . This law greatly simplifies the theoretical study of the photocount distribution for quantum optical fields.