One- and Two-Photon Scattering by Two Atoms in a Waveguide

TL;DR

This paper investigates how two atoms in a waveguide interact with one- and two-photon pulses, revealing enhanced control and exact results for nonlinear and entangled effects, with implications for quantum information processing.

Contribution

It provides a detailed analysis of two-atom waveguide interactions, including exact solutions for nonlinear and entangled photon effects, considering direct atom interactions.

Findings

Adding a second atom increases control over photon transport.

Exact solutions for two-photon nonlinear and entangled effects are derived.

Direct atom interactions influence scattering properties significantly.

Abstract

We consider the interaction of one- and two-photon pulses in a waveguide with two two-level systems (TLS) that are also able to interact directly either through an exchange- or a dipole-type interaction. We focus on the system's transport properties and show how the presence of a second TLS increases the control options, especially when direct interactions are also allowed. We also obtain, within a Markov (long pulse) approximation, exact results for the nonlinear or entangled terms that arise in the two-photon case, and discuss both their potential applications and ways to minimize their effects.