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URSI International Symposium on Electromagnetic Theory

Classical Photons and the Transition from Classical to Quantum Wave Theory

Arthur D. Yaghjian

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.46620/ursiemts25/flnh2337

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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.