Memory in the Photon Statistics of Multilevel Quantum Systems

TL;DR

This paper investigates photon emission statistics in multilevel quantum systems, focusing on nonrenewal behaviors, and introduces a memory measure validated through simulations, aiding experimental analysis.

Contribution

It presents a new analytical framework for nonrenewal photon statistics and a practical memory measure for experimental verification.

Findings

Closed-form expressions for photon correlation moments.

A proposed memory measure for nonrenewal statistics.

Monte-Carlo simulations confirm experimental feasibility.

Abstract

The statistics of photons emitted by single multilevel systems is investigated with emphasis on the nonrenewal characteristics of the photon-arrival times. We consider the correlation between consecutive interphoton times and present closed form expressions for the corresponding multiple moment analysis. Based on the moments a memory measure is proposed which provides an easy way of gaging the non-renewal statistics. Monte-Carlo simulations demonstrate that the experimental verification of non-renewal statistics is feasible.