Counting statistics of collective photon transmissions

TL;DR

This paper investigates how collective effects influence photon transmission statistics in a medium of radiators, revealing a crossover in scaling behavior that can be observed in nano-cell experiments.

Contribution

It introduces a theoretical framework to analyze cooperative photon transmission effects and identifies a scaling crossover from linear to quadratic in the photon current.

Findings

Scaling crossover from N to N^2 in photon current

Higher cumulants exhibit even stronger N dependence

Observable effects in nano-cell with pumped optical cavity

Abstract

We theoretically study cooperative effects in the steady-state transmission of photons through a medium of $N$ radiators. Using methods from quantum transport, we find a cross-over in scaling from $N$ to $N^2$ in the current and even higher powers of $N$ in the higher cumulants of the photon counting statistics as a function of the tunable source occupation. The effect should be observable for atoms confined within a nano-cell with a pumped optical cavity as photon source.