Fermi's golden rule for $N$-body systems in a black-body radiation

TL;DR

This paper derives a general formula for transition rates in N-body dipole systems interacting with black-body radiation, analyzing coherent and incoherent regimes using field correlation functions.

Contribution

It introduces a unified approach to calculate transition rates for N-body dipoles in black-body radiation, extending previous methods.

Findings

Derived a general formula for transition rates

Analyzed fully coherent and incoherent regimes

Utilized 1960s field correlation functions

Abstract

We review the calculation of Fermi's golden rule for a system of $N$-body dipoles, magnetic or electric, weakly interacting with a blackbody radiation. By using the magnetic or electric field-field correlation function evaluated in the 1960s for the black body radiation, we deduce a general formula for the transition rates and study its limiting, fully coherent or fully incoherent, regimes.