The Maxwell-Bloch Theory in Quantum Optics and the Kondo Model

TL;DR

This paper maps the interaction of radiation with a two-level atom in fiber geometry onto the anisotropic Kondo model, enabling the computation of correlation functions, decay rates, and Lamb shifts through integrability techniques.

Contribution

It introduces a novel mapping of quantum optical problems onto the Kondo model, allowing new analytical insights into their thermodynamic and dynamical properties.

Findings

Computed correlation functions and decay rates

Analyzed Lamb shifts in the system

Explored the classical limit of the anisotropic Kondo model

Abstract

In this letter, the problem of radiation in a fiber geometry interacting with a two level atom is mapped onto the anisotropic Kondo model. Thermodynamical and dynamical properties are then computed exploiting the integrability of this latter system. We compute some correlation functions, decay rates and Lamb shifts. In turn this leads to an analysis of the classical limit of the anisotropic Kondo model.