JAYNES-CUMMINGS MODEL
Two-level atom in cavity QED — vacuum Rabi oscillations, collapse & revival
PARAMETERS
Mean photon number n̄:
5
Coupling g (×2π):
1.0
Field state:
Coherent |α⟩
Fock |n⟩
Thermal ρ
Pause
Reset
Jaynes-Cummings:
H = ħg(a†σ⁻ + aσ⁺)
Atom inversion: W(t) = Σ Pₙ cos(2g√(n+1) t)
Collapse:
dephasing due to photon-number spread.
Revival:
quantum interference at t_rev ≈ 2π√n̄/g
Coherent state collapses and revives periodically — a purely quantum effect.