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Updated: Aug 9, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions
Bogdan Y Nikitchuk1,2, Evgeny V Anikin3,4, Natalya S Maslova5
1Skolkovo Institute of Science and Technology, 121205, Moscow, Russia. nikitchuk.bia@phystech.edu.
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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