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arXiv:1806.09475 · Physical Review A

Statistics of photon-subtracted and photon-added states

Stephen Mark Barnett, Gergely Ferenczi, Claire R Gilson, Fiona C. Speirits

Published Jul 5, 2018• 88 citations
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Abstract

A description of the photon statistics of photon-added and photon-subtracted states is presented. It is found that photon subtraction may increase the mean photon number or leave it unchanged, whereas photon addition may increase the mean photon number by more than the number of photons added.
DOI
10.1103/physreva.98.013809

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In the recent years, effect of photon addition and subtraction to a quantum state of light is explored for coherent state, thermal state, Schrödinger cat state, Gaussian state and many more. It is reported that the phenomena of photon addition or subtraction significantly affect nonclassical properties of the states of light. Here we wish to study the effect of photon addition and subtraction to the binomial start of radiation on the nonclassical properties of the state. We observed that the depth of nonclassicality increases with photon addition and decreases with photon subtraction in antibunching and squeezing phenomenon. We also report significant changes in photon number distribution and variable with depending parameters.
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We formulate the density matrices of a quantum state obtained by first adding multi-photons to and then subtracting multi-photons from any arbitrary state as well as performing the same process in the reverse order. Considering the field to be initially in a thermal (or in an even coherent) state, we evaluate the photon number distribution, Wigner function and Mandel's Q parameter of the resulting field. We show graphically that the order in which multi-photons are added and subtracted has a noticeable effect on the temporal behavior of these statistical properties.