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arXiv · 2206.05537

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

Bogdan Y. Nikitchuk·Evgeny V. Anikin·Natalya S. Maslova·Nikolay A. Gippius
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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.

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Bogdan Y. Nikitchuk, Evgeny V. Anikin, Natalya S. Maslova, Nikolay A. Gippius. 2022-06-11. The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions. https://arxiv.org/abs/2206.05537

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