Jaynes–Cummings vacuum Rabi splitting: Ω_n = g·√(n+1); dressed-state gap = 2ℏg·√(n+1)

Jaynes–Cummings vacuum Rabi splitting. From framework F8, the dressed-state energies for |n,±⟩ are E± = ℏω·(n+1/2) ± ℏg·√(n+1). The dressed-state splitting is 2ℏg·√(n+1), and the population oscillates at Rabi frequency Ω_n = g·√(n+1). For…