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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 28, Iss. 5 — May. 1, 2011
  • pp: 1238–1244

Filtering equation for measurement of a coherent channel

Anita Dąbrowska and Przemysław Staszewski  »View Author Affiliations

JOSA B, Vol. 28, Issue 5, pp. 1238-1244 (2011)

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We propose a stochastic model for continuous photon counting and heterodyne measurement of a coherent source. A nonlinear filtering equation for the posterior state of a single-mode field in a cavity is derived by using the methods of the 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 the counting and diffusion processes are given.

© 2011 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(270.0270) Quantum optics : Quantum optics
(270.2500) Quantum optics : Fluctuations, relaxations, and noise
(270.5290) Quantum optics : Photon statistics
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Quantum Optics

Original Manuscript: September 28, 2010
Manuscript Accepted: February 23, 2011
Published: April 25, 2011

Anita Dąbrowska and Przemysław Staszewski, "Filtering equation for measurement of a coherent channel," J. Opt. Soc. Am. B 28, 1238-1244 (2011)

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