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Filtering equation for a measurement of a coherent channel

arXiv:1207.1196 · doi:10.1364/JOSAB.28.001238

Abstract

A stochastic model for a continuous photon counting and heterodyne measurement of a coherent source is proposed. A nonlinear filtering equation for the posterior state of a single-mode field in a cavity is derived by using the methods of quantum stochastic calculus. The posterior dynamics is found for the observation of a Bose field being initially in a coherent state. The filtering equations for counting and diffusion processes are given.

14 pages, 1 figure. This paper was published in JOSA B. The final version is available on OSA website