Cavity QED — Vacuum Rabi Splitting
Jaynes-Cummings model: collapse and revival of Rabi oscillations
Rabi splitting: 2g = 10.0 | Collapse time: —
Jaynes-Cummings model: H = ωc†c + ½ωσz + g(aσ+ + a†σ−). With n̄ photons (coherent state),
Rabi oscillations at rate 2g√n collapse after t_c ≈ √n̄/g (dephasing from photon-number
spread), then revive at t_r = 2π√n̄/g. Top-left: Bloch sphere atom state. Top-right: Wigner
function (photon state). Bottom-left: population oscillations (collapse+revival).
Bottom-right: transmission spectrum showing vacuum Rabi splitting 2g.