Photon-photon correlation statistics in the collective emission from ensembles of self-assembled quantum dots

Abstract

We present a theoretical analysis of the intensity autocorrelation for the spontaneous emission from a planar ensemble of self-assembled quantum dots. Using the quantum jump approach, we numerically simulate the evolution of the system and construct photon-photon delay time statistics that approximates the second order correlation function of the field. The form of this correlation function in the case of collective emission from a highly homogeneous ensemble qualitatively differs form that characterizing an ensemble of independent emitters (inhomogeneous ensemble of uncoupled dots). The signatures of collective emission in the intensity correlations are observed also in the case of an inhomogeneous but sufficiently strongly coupled ensemble. Thus, we show that the second order correlation function of the emitted field provides a sensitive test of cooperative effects.

Enhancing photon correlations through plasmonic strong coupling

“…This observation is in agreement with the resonance fluorescence phenomenology of a single QE [21], in which no incoherent scattering occurs in the limit of vanishing pumping (saturation effects in the QE population are negligible). Note that the g (2) (0) behaviour obtained from our model is in accordance with more sophisticated descriptions [22] of QE ensembles. Exact numerical solutions to Equation (1) can be obtained for strong QE-SP coupling.…”