Reconstruction of the environmental correlation function from single emitter photon statistics: a non-Markovian approach

TL;DR

This paper develops a non-Markovian framework to reconstruct the environmental correlation function from single emitter photon statistics, bridging microscopic theory and phenomenological models.

Contribution

It introduces an analytic method to relate thermal correlation functions to photon statistics in non-Markovian systems, advancing understanding of emitter-environment interactions.

Findings

Derived explicit expressions linking thermal correlations to photon data.

Established connections between microscopic theory and spectral diffusion models.

Enhanced modeling of emitter dynamics beyond Markovian assumptions.

Abstract

We consider the two-level system approximation of a single emitter driven by a continuous laser pump and simultaneously coupled to the electromagnetic vacuum and to a thermal reservoir beyond the Markovian approximation. We discuss the connection between a rigorous microscopic theory and the phenomenological spectral diffusion approach, used to model the interaction of the emitter with the thermal bath, and obtained analytic expressions relating the thermal correlation function to the single emitter photon statistics.