We address the second-harmonic generation process in a quantum frame. Starting with a perturbative approach, we show that it is possible to achieve a number of analytic results, ranging from the up-conversion probability to the statistical properties of the generated light. In particular, the moments and the correlations of the photon-number distribution of the second-harmonic light generated by any initial state are retrieved. When possible, a comparison with the results achieved with the classical regime is successfully provided. The nonclassicality of some benchmark states is investigated by inspecting the corresponding autocorrelation function.

Second Harmonic Revisited: An Analytic Quantum Approach

Chesi, Giovanni
;
Allevi, Alessia;Bondani, Maria
2019

Abstract

We address the second-harmonic generation process in a quantum frame. Starting with a perturbative approach, we show that it is possible to achieve a number of analytic results, ranging from the up-conversion probability to the statistical properties of the generated light. In particular, the moments and the correlations of the photon-number distribution of the second-harmonic light generated by any initial state are retrieved. When possible, a comparison with the results achieved with the classical regime is successfully provided. The nonclassicality of some benchmark states is investigated by inspecting the corresponding autocorrelation function.
second-harmonic generation; quantum description of interaction of light and matter; photon statistics and coherence theory
Chesi, Giovanni; Wauters, Matteo M.; Fasola, Nadir; Allevi, Alessia; Bondani, Maria
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11383/2079089
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