Rigorous derivation of the triple scattering signal from single-atom responses

TL;DR

This paper analytically derives the triple scattering signal in coherent backscattering from three two-level atoms, linking single-atom responses with multiple scattering spectra, and provides general expressions for simulations.

Contribution

It presents an exact analytical solution for the triple scattering spectrum using a master equation approach, connecting it with the diagrammatic pump-probe method and offering tools for bulk medium simulations.

Findings

Analytical solution for triple scattering spectrum derived

Equivalence shown between master equation and diagrammatic approaches

General expressions for single-atom responses provided

Abstract

We study coherent backscattering of intense laser light from three immobile two-level atoms using the master equation approach. The master equation is solved analytically, and the triple scattering spectrum is expressed in quadratures. We show that this solution can be obtained via a self-consistent combination of single-atom spectral responses, and is equivalent to the solution following from the diagrammatic pump-probe approach. We deduce the general expressions for single-atom building blocks which can be used in simulations of multiple inelastic scattering of laser light in the bulk atomic medium.