The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions
Abstract 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 o...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-30197-8 |
| _version_ | 1797864833529413632 |
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| author | Bogdan Y. Nikitchuk Evgeny V. Anikin Natalya S. Maslova Nikolay A. Gippius |
| author_facet | Bogdan Y. Nikitchuk Evgeny V. Anikin Natalya S. Maslova Nikolay A. Gippius |
| author_sort | Bogdan Y. Nikitchuk |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-04-09T22:58:23Z |
| format | Article |
| id | doaj.art-631fea7c1daf46c79648d4f34f1325bf |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-09T22:58:23Z |
| publishDate | 2023-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-631fea7c1daf46c79648d4f34f1325bf2023-03-22T11:06:25ZengNature PortfolioScientific Reports2045-23222023-02-0113111210.1038/s41598-023-30197-8The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitionsBogdan Y. Nikitchuk0Evgeny V. Anikin1Natalya S. Maslova2Nikolay A. Gippius3Skolkovo Institute of Science and TechnologySkolkovo Institute of Science and TechnologyQuantum Technology Centrum, Department of Physics, Lomonosov Moscow State UniversitySkolkovo Institute of Science and TechnologyAbstract 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.https://doi.org/10.1038/s41598-023-30197-8 |
| spellingShingle | Bogdan Y. Nikitchuk Evgeny V. Anikin Natalya S. Maslova Nikolay A. Gippius The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions Scientific Reports |
| 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 |
| url | https://doi.org/10.1038/s41598-023-30197-8 |
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