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Time development of electromagnetic fields in closed cavities undercontinuous detection of photons continues to be a subject of confusingcontroversy. Recently Dodonov et al. [Phys. Rev. A, 75, 013806, 2007] arguedthat their model of quantum superoperators (E model) invalidates some of thepredictions of the previously introduced photon counting model of Srinivas andDavies [J. Mod. Optic. 28, 981, 1981] (SD model). Both the SD and the E modelsare based on two postulated quantum jump superoperators: (1) the one-countoperator corresponding to the absorption of a single photon and (2) theno-count operator. In this work we develop a stochastic difference equationthat describes the dissipative coupling of the cavity field and the detector.The difference equation is based on non-perturbative treatment of thecavity-detector coupling. In spite of being non-integrable due to the couplingof the detector with an external reservoir it can be used to derive the exactforms of the quantum jump superoperators. When applied to a particular photoncounting measurement our theory gives predictions identical with those of theSD model which should be considered a non-perturbative and ab-initio result. Itis pointed out that available experimental results coincide with the resultsgiven by the ab-initio SD model. We summarize some of the key characteristicsof cavity fields and photon counting processes to demonstrate that the resultsgiven by the SD model are consistent with the principles of quantum mechanicswhile those given by the E model are not.

Cavity photon counting: ab-initio derivation of the quantum jump superoperators and comparison of the existing models