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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Format: | Article |
Language: | English |
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IOP Publishing
2024-01-01
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Series: | New Journal of Physics |
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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. |
first_indexed | 2024-04-24T06:57:51Z |
format | Article |
id | doaj.art-91f666009aa74bb0a19cc9be81977f83 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-04-24T06:57:51Z |
publishDate | 2024-01-01 |
publisher | IOP Publishing |
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series | New Journal of Physics |
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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