Quantum photodetection distributions with ‘nonlinear’ quantum jump superoperators

Alexandre V. Dodonov, S. S. Mizrahi, V. V. Dodonov · Journal of Optics B Quantum and Semiclassical Optics · 2005

We address the issue of the detection and counting of photons. We assume an electromagnetic field enclosed in an ideal cavity, which together with the detector constitute a closed system, so no photon is lost to the environment. Basing ourselves on a microscopic model consisting of a set of two-level atoms (the detector) interacting with the field, we derive a 'nonlinear' jump superoperator. We compare the count statistics calculated within our model with those obtained from previous models, such as the coincidence probability density , two-count conditional probability density , waiting times and the second order correlation function , for several field states.

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