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The dynamics of the Jaynes-Cummings Hamiltonian is studied in thesemiclassical limit by reducing it to quantum normal form and deriving thephase space dynamics of classically smooth observables. The resultingsystematic semiclassical approximation is used to analyze the Rabi oscillationsof a photon wave packet revealing subtle consequences of the uncertaintyprinciple.

Wave packet Rabi oscillations from phase-space flow in mesoscopic cavity QED