Cavity QED: Jaynes-Cummings Entanglement

Atom-field dynamics, collapse & revival, entanglement entropy, Wigner function

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Jaynes-Cummings Model: H = ωaᵀa + (ω₀/2)σz + g(aσ₊ + aᵀσ₋) + Δ·σz. Starting with atom excited |e⟩ and field in coherent state |α⟩: Rabi oscillations collapse (dephasing by photon number spread), then revive at t_rev = 2π√n̄/g. Bottom left: P(e) — collapse/revival. Right: entanglement entropy S = −Tr(ρ_atom ln ρ_atom). Wigner function of field state shown center.