The emission of electromagnetic radiation from a quantum system interacting with an external noise: A general result

TL;DR

This paper derives a general formula for the electromagnetic radiation emitted by a quantum system under external classical noise, with implications for understanding collapse models and noise-induced phenomena.

Contribution

It provides a general, perturbative computation of emitted radiation spectra applicable to any quantum system interacting with classical noise, clarifying analysis methods.

Findings

Derived a universal spectrum formula for noise-induced emission

Clarified methodological issues in perturbative analysis

Applicable to collapse models and noise-related quantum phenomena

Abstract

We compute the spectrum of emitted radiation by a generic quantum system interacting with an external classic noise. Our motivation is to understand this phenomenon within the framework of collapse models. However the computation is general and applies practically to any situation where a quantum system interacts with a noise. The computation is carried out at a perturbative level. This poses problems concerning the correct way of performing the analysis, as repeatedly discussed in the literature. We will clarify also this issue.