English

Filtering equation for a measurement of a coherent channel

Quantum Physics 2015-06-05 v1

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.

Keywords

Cite

@article{arxiv.1207.1196,
  title  = {Filtering equation for a measurement of a coherent channel},
  author = {A. Dabrowska and P. Staszewski},
  journal= {arXiv preprint arXiv:1207.1196},
  year   = {2015}
}

Comments

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