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Defining the Semiclassical Limit of the Quantum Rabi Hamiltonian

Defining the Semiclassical Limit of the Quantum Rabi Hamiltonian

The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displaced Fock-state basis $|\ensuremath{\alpha},n⟩$, the semiclassical limit is obtained …