Photon Correlations from the Mollow Triplet

Abstract

Photon correlations between the photoluminescence peaks of the Mollow triplet have been known for a long time, and recently hailed as a resource for heralded single-photon sources. Here, we provide the full picture of photon-correlations at all orders (we deal explicitly with up to four photons) and with no restriction to the peculiar frequency windows that enclose the peaks. We show that a rich multi-photon physics lies between the peaks, due to transitions involving virtual photons, and thereby much more strongly correlated than those transiting through the real states. Specifically, we show that such emissions occur in bundles of photons rather than as successive, albeit correlated, photons. We provide the recipe to frequency-filter the emission of the Mollow triplet to turn it into a versatile and tunable photon source, allowing in principle all scenarios of photon emission, with advantages already at the one-photon level, i.e., providing more strongly correlated heralded single-photon sources than those already known

Third-order frequency-resolved photon correlations in resonance fluorescence

“…Here we explore third order correlation functions which make up the three-photon spectrum g (3) Γ1Γ2Γ3 (τ 1 , ω 1 ; τ 2 , ω 2 ; τ 3 , ω 3 ) of single quantum dot (QD) resonance fluorescence under strong monochromatic laser illumination. Contrary to its second-order counterpart, the function g Γ1Γ2Γ3 (τ 1 , ω 1 ; τ 2 , ω 2 ; τ 3 , ω 3 ) involves three-photon pathways down the ladder of dressed states, adding a new dimension to potential communication schemes in quantum information science applications [17]. Our measurements provide further confirmation of the validity of the method of Ref.…”

Spectral functions and negative density of states of a driven-dissipative nonlinear quantum resonator

“…There is clearly some similarity to the closed-system expression equation (14). Like the closed-system case, the Green's function is decomposed into a sum of simple poles.…”

“…Taking into account the dissipation-induced lifetime in equation (32) allows to uncover a mechanism by which dissipation can mask the effect of a population-inverted density matrix on the spectral function. Indeed, a population inversion in the stationary state, if there were no lifetime broadening, would certainly result in a violation of the Green's functions sign property in equation (17), as one can see straight from equation (14). On the other hand, the lifetime broadens the resonances, making them overlap and possibly resulting in those with smaller weights to be completely masked by bigger ones.…”

“…Parameters Note that the first order correction to the λ α is purely real, implying there is no shift in the position of the spectral function resonances. The approximate spectral funciton in equation (32) is exactly the same as the equilibrium expression in equation (14), except that the populations p n are non-thermal, and each resonance has a finite width G + n n 1, . While we have shown how this width can be calculated using formal perturbation theory, it also has a simple physical origin: it is the sum of the Fermi's Golden rule decay rates for the states ñ |n and + ñ |n 1 , i.e.^^å The first line is the decay rate due to the incoherent driving, the second due to the two-photon loss.…”

Mollow triplet in cold atoms

“…These correlations were first observed by Aspect et al in 1980 [2] and quantitatively characterized by Schrama et al in 1992 [3] which had remained the state of the art until recently. Indeed, this topic has attracted a renewed interest [4], mainly in solid state physics where, for example, Mollow triplet in a quantum dot appears as a promising candidate of heralded single-photon sources [5].…”