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Quantum Information and Measurement (QIM)

Second-Harmonic Generation as a Source of Nonclassical Light

Giovanni Chesi, Alessia Allevi, Maria Bondani

Published Jan 1, 2019• 0 citations
Publisher

Abstract

We investigate the transformation of light statistics due to a second-harmonic generation process and address a quantum perturbative approach to retrieve the moments of the output light distribution for given input light states.
DOI
10.1364/qim.2019.t5a.19

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When a laser beam passes through a rotating ground glass (RGG), the scattered light exhibits thermal statistics. This is extensively used in speckle imaging. This scattering process has not been addressed in the photon picture and is especially relevant if nonclassical light is scattered by the RGG. We develop the photon picture for the scattering process using the Bose statistics for distributing NNN photons in MMM pixels. We obtain an analytical form for the PPP distribution of the output field in terms of the PPP distribution of the input field. In particular, we obtain a general relation for the nthn\mathrm{th}nth-order correlation function of the scattered light, i.e., ${g}_{\text{out}}^{(n)}\ensuremath{\simeq}n!\phantom{\rule{0.16em}{0ex}}{g}_{\text{in}}^{(n)}$, which holds for any order nnn and for arbitrary input states. This result immediately recovers the classical transformation of coherent light to pseudothermal light by RGG.