Third order nonlinear correlation of the electromagnetic vacuum at near-infrared frequencies

In recent years, electro-optic sampling, which is based on Pockel’s effect between an electromagnetic mode and a copropagating, phase-matched ultrashort probe, has been largely used for the investigation of broadband quantum states of light, especially in the mid-infrared and terahertz frequency ran...

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Main Authors: Francesca Fabiana Settembrini, Alexa Herter, Jérôme Faist
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ad3b32
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author Francesca Fabiana Settembrini
Alexa Herter
Jérôme Faist
author_facet Francesca Fabiana Settembrini
Alexa Herter
Jérôme Faist
author_sort Francesca Fabiana Settembrini
collection DOAJ
description In recent years, electro-optic sampling, which is based on Pockel’s effect between an electromagnetic mode and a copropagating, phase-matched ultrashort probe, has been largely used for the investigation of broadband quantum states of light, especially in the mid-infrared and terahertz frequency range. The use of two mutually delayed femtosecond pulses at near-infrared frequencies allows the measurement of quantum electromagnetic radiation in different space-time points. Their correlation allows therefore direct access to the spectral content of a broadband quantum state at terahertz frequencies after Fourier transformation. In this work, we will prove experimentally and theoretically that when using strongly focused coherent ultrashort probes, the electro-optic sampling technique can be affected by the presence of a third-order nonlinear mixing of the probes’ electric field at near-infrared frequencies. Moreover, we will show that these third-order nonlinear phenomena can also influence correlation measurements of the quantum electromagnetic radiation. We will prove that the four-wave mixing of the coherent probes’ electric field with their own electromagnetic vacuum at near-infrared frequencies results in the generation of a higher-order nonlinear correlation term. The latter will be characterized experimentally, proving its local nature requiring the physical overlap of the two probes. The parameters regime where higher order nonlinear correlation results predominant with respect to electro-optic correlation of terahertz radiation is provided.
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spelling doaj.art-91f666009aa74bb0a19cc9be81977f832024-04-22T10:08:16ZengIOP PublishingNew Journal of Physics1367-26302024-01-0126404301710.1088/1367-2630/ad3b32Third order nonlinear correlation of the electromagnetic vacuum at near-infrared frequenciesFrancesca Fabiana Settembrini0https://orcid.org/0000-0002-2017-4695Alexa Herter1https://orcid.org/0000-0003-0370-8736Jérôme Faist2https://orcid.org/0000-0003-4429-7988ETH Zürich, Institute of Quantum Electronics , Auguste-Piccard-Hof 1, 8093 Zürich, SwitzerlandETH Zürich, Institute of Quantum Electronics , Auguste-Piccard-Hof 1, 8093 Zürich, SwitzerlandETH Zürich, Institute of Quantum Electronics , Auguste-Piccard-Hof 1, 8093 Zürich, SwitzerlandIn recent years, electro-optic sampling, which is based on Pockel’s effect between an electromagnetic mode and a copropagating, phase-matched ultrashort probe, has been largely used for the investigation of broadband quantum states of light, especially in the mid-infrared and terahertz frequency range. The use of two mutually delayed femtosecond pulses at near-infrared frequencies allows the measurement of quantum electromagnetic radiation in different space-time points. Their correlation allows therefore direct access to the spectral content of a broadband quantum state at terahertz frequencies after Fourier transformation. In this work, we will prove experimentally and theoretically that when using strongly focused coherent ultrashort probes, the electro-optic sampling technique can be affected by the presence of a third-order nonlinear mixing of the probes’ electric field at near-infrared frequencies. Moreover, we will show that these third-order nonlinear phenomena can also influence correlation measurements of the quantum electromagnetic radiation. We will prove that the four-wave mixing of the coherent probes’ electric field with their own electromagnetic vacuum at near-infrared frequencies results in the generation of a higher-order nonlinear correlation term. The latter will be characterized experimentally, proving its local nature requiring the physical overlap of the two probes. The parameters regime where higher order nonlinear correlation results predominant with respect to electro-optic correlation of terahertz radiation is provided.https://doi.org/10.1088/1367-2630/ad3b32electro-optic samplingthird-order nonlinear effectcorrelation of vacuum electric field
spellingShingle Francesca Fabiana Settembrini
Alexa Herter
Jérôme Faist
Third order nonlinear correlation of the electromagnetic vacuum at near-infrared frequencies
New Journal of Physics
electro-optic sampling
third-order nonlinear effect
correlation of vacuum electric field
title Third order nonlinear correlation of the electromagnetic vacuum at near-infrared frequencies
title_full Third order nonlinear correlation of the electromagnetic vacuum at near-infrared frequencies
title_fullStr Third order nonlinear correlation of the electromagnetic vacuum at near-infrared frequencies
title_full_unstemmed Third order nonlinear correlation of the electromagnetic vacuum at near-infrared frequencies
title_short Third order nonlinear correlation of the electromagnetic vacuum at near-infrared frequencies
title_sort third order nonlinear correlation of the electromagnetic vacuum at near infrared frequencies
topic electro-optic sampling
third-order nonlinear effect
correlation of vacuum electric field
url https://doi.org/10.1088/1367-2630/ad3b32
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