One- and Two-Photon Localization in Quantum Optics

TL;DR

This paper investigates localization phenomena of one- and two-photon states in a lattice model of quantum optics, revealing energy-dependent localization effects for single and paired photons in a disordered medium.

Contribution

It introduces a lattice analog of a continuum model for photon propagation, demonstrating localization of photons at specific energy bands, including arbitrarily large energies.

Findings

Single photons localize at energies near atomic resonance.

Photons also localize at arbitrarily high energies.

Two-photon states localize at twice the atomic resonant frequency.

Abstract

We consider the lattice analog of a recently proposed continuum model for the propagation of one- and two-photon states in a random medium. We find that there is localization of single photons in an energy band centered at the resonant energy of the atoms. Moreover, there is also localization of photons at arbitrarily large energies. For the case of two photons, there is localization in an energy band centered at twice the resonant frequency.