Statistics of photon-subtracted and photon-added states

Barnett, S. M. , Ferenczi, G., Gilson, C. R. and Speirits, F. C. (2018) Statistics of photon-subtracted and photon-added states. Physical Review A: Atomic, Molecular and Optical Physics, 98(1), 013809. (doi: 10.1103/PhysRevA.98.013809)

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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 \emph{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 well-established and one that we introduce.

Item Type:Articles
Additional Information:Also supported by the UK Engineering and Physical Sciences Research Council grant EP/P015719/1.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barnett, Professor Stephen and Speirits, Dr Fiona and Ferenczi, Dr Gergely and Gilson, Dr Claire
Authors: Barnett, S. M., Ferenczi, G., Gilson, C. R., and Speirits, F. C.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Publisher:American Physical Society
ISSN:1050-2947
ISSN (Online):1094-1622
Published Online:05 July 2018
Copyright Holders:Copyright © 2018 American Physical Society
First Published:First published in Physical Review A: Atomic, Molecular and Optical Physics 98(1): 013809
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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