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Statistics of photon-subtracted and photon-added states

Stephen M. Barnett, Gergely Ferenczi, Claire R. Gilson, and Fiona C. Speirits
Phys. Rev. A 98, 013809 – Published 5 July 2018

Abstract

The subtraction or addition of a prescribed number of photons to a field mode does not, in general, simply shift the probability distribution by the number of subtracted or added photons. Subtraction of a photon from an initial coherent state, for example, leaves the photon statistics unchanged and the same process applied to an initial thermal state increases the mean photon number. We present a detailed analysis of the effects of the initial photon statistics on those of the state from which the photons have been subtracted or to which they have been added. Our approach is based on two closely related moment-generating functions, one that is well established and one that we introduce.

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  • Received 27 April 2018

DOI:https://doi.org/10.1103/PhysRevA.98.013809

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Stephen M. Barnett1, Gergely Ferenczi1,2, Claire R. Gilson3, and Fiona C. Speirits1

  • 1School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom
  • 2Department of Physics, University of Strathclyde, Glasgow G4 0NG, United Kingdom
  • 3School of Mathematics and Statistics, University of Glasgow, Glasgow G12 8SQ, United Kingdom

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Issue

Vol. 98, Iss. 1 — July 2018

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