The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions

We consider the model of two coupled oscillators with Kerr nonlinearities in the rotating-wave approximation. We demonstrate that for a certain set of parameters of the model, the multi-photon transitions occur between many pairs of the oscillator states simultaneously. Also, the position of the mul...

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Autores principales: Nikitchuk, Bogdan Y., Anikin, Evgeny V., Maslova, Natalya S., Gippius, Nikolay A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9944305/
https://www.ncbi.nlm.nih.gov/pubmed/36810462
http://dx.doi.org/10.1038/s41598-023-30197-8
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author Nikitchuk, Bogdan Y.
Anikin, Evgeny V.
Maslova, Natalya S.
Gippius, Nikolay A.
author_facet Nikitchuk, Bogdan Y.
Anikin, Evgeny V.
Maslova, Natalya S.
Gippius, Nikolay A.
author_sort Nikitchuk, Bogdan Y.
collection PubMed
description We consider the model of two coupled oscillators with Kerr nonlinearities in the rotating-wave approximation. We demonstrate that for a certain set of parameters of the model, the multi-photon transitions occur between many pairs of the oscillator states simultaneously. Also, the position of the multi-photon resonances does not depend on the coupling strength between two oscillators. We prove rigorously that this is a consequence of a certain symmetry of the perturbation theory series for the model. In addition, we analyse the model in the quasi-classical limit by considering the dynamics of the pseudo-angular momentum. We identify the multi-photon transitions with the tunnelling transitions between the degenerate classical trajectories on the Bloch sphere.
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spelling pubmed-99443052023-02-23 The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions Nikitchuk, Bogdan Y. Anikin, Evgeny V. Maslova, Natalya S. Gippius, Nikolay A. Sci Rep Article We consider the model of two coupled oscillators with Kerr nonlinearities in the rotating-wave approximation. We demonstrate that for a certain set of parameters of the model, the multi-photon transitions occur between many pairs of the oscillator states simultaneously. Also, the position of the multi-photon resonances does not depend on the coupling strength between two oscillators. We prove rigorously that this is a consequence of a certain symmetry of the perturbation theory series for the model. In addition, we analyse the model in the quasi-classical limit by considering the dynamics of the pseudo-angular momentum. We identify the multi-photon transitions with the tunnelling transitions between the degenerate classical trajectories on the Bloch sphere. Nature Publishing Group UK 2023-02-21 /pmc/articles/PMC9944305/ /pubmed/36810462 http://dx.doi.org/10.1038/s41598-023-30197-8 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Nikitchuk, Bogdan Y.
Anikin, Evgeny V.
Maslova, Natalya S.
Gippius, Nikolay A.
The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions
title The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions
title_full The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions
title_fullStr The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions
title_full_unstemmed The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions
title_short The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions
title_sort symmetry in the model of two coupled kerr oscillators leads to simultaneous multi-photon transitions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9944305/
https://www.ncbi.nlm.nih.gov/pubmed/36810462
http://dx.doi.org/10.1038/s41598-023-30197-8
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