Non-Gaussian states produced by close-to-threshold optical parametric oscillators: role of classical and quantum fluctuations
Virginia D'Auria, Corrado de Lisio, Alberto Porzio, Salvatore, Solimeno, Javaid Anwar, and Matteo G. A. Paris

TL;DR
This paper investigates how classical and quantum fluctuations influence the generation of non-Gaussian quantum states in optical parametric oscillators, using kurtosis excess as a key metric, with results aligning well with experimental data.
Contribution
It introduces a perturbative model accounting for classical and quantum fluctuations affecting non-Gaussian state production in OPOs, extending previous analyses.
Findings
Kurtosis excess effectively characterizes non-Gaussian states.
Model predictions agree with experimental measurements.
Classical fluctuations significantly impact non-Gaussian statistics.
Abstract
Quantum states with non-Gaussian statistics generated by optical parametric oscillators (OPO) with fluctuating parameters are studied by means of the Kurtosis excess of the external field quadratures. The field generated is viewed as the response of a nonlinear device to the fluctuations of laser pump amplitude and frequency, crystal temperature and cavity detuning, in addition to quantum noise sources. The Kurtosis excess has been evaluated perturbatively up to the third order in the strength of the crystal nonlinear coupling factor and the second order in the classical fluctuating parameters. Applied to the device described in Opt. Expr. 13, 948-956 (2005) the model has given values of the Kurtosi excess in good agreement with the measured ones.
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