Jaynes–Cummings dressed states: H = ℏω(a†a + σ_z/2) + ℏg(aσ₊ + a†σ₋); harmonic Rabi oscillations

Jaynes–Cummings model: a two-level atom + single cavity mode at resonance under the rotating-wave approximation. Setup: atomic Hamiltonian ℏω·σ_z/2, field Hamiltonian ℏω·a†a, coupling ℏg·(aσ₊ + a†σ₋). Dressed eigenstates |n,±⟩ = (|e,n⟩ ±…