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

TL;DR

This paper theoretically investigates photon-photon correlation statistics in collective emission from quantum dot ensembles, revealing signatures of cooperative effects in intensity correlations through numerical simulations.

Contribution

It introduces a quantum jump approach to simulate and analyze the second order correlation function in collective quantum dot emission, highlighting its sensitivity to cooperative phenomena.

Findings

Collective emission alters the photon-photon correlation function compared to independent emitters.

Signatures of collective effects are detectable even in inhomogeneous, strongly coupled ensembles.

The second order correlation function serves as a sensitive probe for cooperative quantum phenomena.

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.