Abstract

We elucidated the mechanism of supercritical Hopf bifurcation in the semi-classical Maxwell–Bloch equations for cavity quantum electrodynamics by formulating the atom–field interaction as a feedback control system. It turns out that the existence of self-oscillatory states is a rather unexpected manifestation of the atomic pseudospin precession dynamics born out of the atom–field interaction governed by the driven Jaynes–Cummings Hamiltonian.

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