Photon correlation spectroscopy of the Jaynes-Cummings system

Photon coincidence spectroscopy for two-atom cavity quantum electrodynamics

“…For photocount integration times larger than δ −1 , we truncate (17) at k = 0, yielding ρ(t, g) ≈ ρ 0 ( g), which is time-independent. Approximating the time-dependent density matrix by the first (time-independent) term in the Bloch expansion is consistent with single-atom 2PCS studied in reference [7]. The resultant density matrix for the N -atom cavity system is given byρ…”

“…is the N -atom coupling strength distribution, with two typical plots of P (g) for one atom depicted in figure 1 for κ the cavity loss rate [6,7]. The effect of averaging over P ( g) is an inhomogeneous spectral broadening, and we use the overbar − notation to denote averaging over P ( g) to account for inhomogeneous broadening.…”

“…The cavity damping rate is κ, and the emission rate into free space is γ m , where γ m is the inhibited spontaneous emission rate for the m th atom. The master equation [7] can be expressed asρ = Lρ for L the Liouvillean superoperator and ρ the density matrix for the system. More specifically the Liouvillean superoperator can be expressed as the sum of a time-independent Liouvillean operator, a time-dependent Liouvillean operator and a 'jump' term.…”

“…The time interval for coincidences is assumed to be short so that the 2PCR is approximately proportional to [6,7,9] w (2) = : n 2 : .…”

“…Such a system is realised via atomic beam cavity quantum electrodynamics (CQED) [1,2,3,4,5,6,7,8,9,10]. In two-photon coincidence spectroscopy (2PCS), a sparse atomic beam traversing the optical cavity is driven off-axis by a bichromatic driving field, and two photons in the output field of the cavity are deemed to be coincident if they arrive at the photodetectors within some short time interval [6,9].…”