Kinetic equations for two-photon light in random media

TL;DR

This paper derives kinetic equations to describe the long-time, large-distance behavior of two-photon light propagating through a random medium of two-level atoms, linking microscopic dynamics to macroscopic probability densities.

Contribution

It introduces a novel kinetic framework for analyzing two-photon light propagation in disordered atomic media, connecting microscopic quantum dynamics to macroscopic statistical descriptions.

Findings

Average probability densities are governed by kinetic equations.

The approach applies to long-time, large-distance regimes.

Provides a new tool for understanding light-matter interactions in disordered systems.

Abstract

We consider the propagation of light in a random medium of two-level atoms. We investigate the dynamics of the field and atomic probability amplitudes for a two-photon state and show that at long times and large distances, the corresponding average probability densities can be determined from the solutions to a system of kinetic equations.