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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Published inScientific reports Vol. 13; no. 1; pp. 2997 - 12
Main Authors Nikitchuk, Bogdan Y, Anikin, Evgeny V, Maslova, Natalya S, Gippius, Nikolay A
Format Journal Article
LanguageEnglish
Published England Nature Publishing Group 21.02.2023
Nature Publishing Group UK
Nature Portfolio
Subjects
Approximation
Oscillators
Physics
Symmetry
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Summary: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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ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-023-30197-8