Second Harmonic Revisited: An Analytic Quantum Approach

Second Harmonic Revisited: An Analytic Quantum Approach

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 moment...

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Main Authors: Giovanni Chesi, Matteo M. Wauters, Nadir Fasola, Alessia Allevi, Maria Bondani
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Applied Sciences
Subjects:
second-harmonic generation
quantum description of interaction of light and matter
photon statistics and coherence theory
Online Access:https://www.mdpi.com/2076-3417/9/8/1690
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spelling doaj-418d54addd694aacb9d0759022728a892020-11-25T00:14:41ZengMDPI AGApplied Sciences2076-34172019-04-0198169010.3390/app9081690app9081690Second Harmonic Revisited: An Analytic Quantum ApproachGiovanni Chesi0Matteo M. Wauters1Nadir Fasola2Alessia Allevi3Maria Bondani4Department of Science and High Technology, University of Insubria, Via Valleggio 11, I-22100 Como, ItalySISSA, Via Bonomea 265, I-34136 Trieste, ItalySISSA, Via Bonomea 265, I-34136 Trieste, ItalyDepartment of Science and High Technology, University of Insubria, Via Valleggio 11, I-22100 Como, ItalyInstitute for Photonics and Nanotechnologies, CNR, Via Valleggio 11, I-22100 Como, ItalyWe 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.https://www.mdpi.com/2076-3417/9/8/1690second-harmonic generationquantum description of interaction of light and matterphoton statistics and coherence theory
collection DOAJ
language English
format Article
sources DOAJ
author Giovanni Chesi
Matteo M. Wauters
Nadir Fasola
Alessia Allevi
Maria Bondani
spellingShingle Giovanni Chesi
Matteo M. Wauters
Nadir Fasola
Alessia Allevi
Maria Bondani
Second Harmonic Revisited: An Analytic Quantum Approach
Applied Sciences
second-harmonic generation
quantum description of interaction of light and matter
photon statistics and coherence theory
author_facet Giovanni Chesi
Matteo M. Wauters
Nadir Fasola
Alessia Allevi
Maria Bondani
author_sort Giovanni Chesi
title Second Harmonic Revisited: An Analytic Quantum Approach
title_short Second Harmonic Revisited: An Analytic Quantum Approach
title_full Second Harmonic Revisited: An Analytic Quantum Approach
title_fullStr Second Harmonic Revisited: An Analytic Quantum Approach
title_full_unstemmed Second Harmonic Revisited: An Analytic Quantum Approach
title_sort second harmonic revisited: an analytic quantum approach
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2019-04-01
description 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.
topic second-harmonic generation
quantum description of interaction of light and matter
photon statistics and coherence theory
url https://www.mdpi.com/2076-3417/9/8/1690
work_keys_str_mv AT giovannichesi secondharmonicrevisitedananalyticquantumapproach
AT matteomwauters secondharmonicrevisitedananalyticquantumapproach
AT nadirfasola secondharmonicrevisitedananalyticquantumapproach
AT alessiaallevi secondharmonicrevisitedananalyticquantumapproach
AT mariabondani secondharmonicrevisitedananalyticquantumapproach
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