Two-Photon Transport in a Waveguide Coupled to a Cavity with a Two-level System

TL;DR

This paper analyzes two-photon transport in a waveguide-cavity system with a two-level atom, revealing photon blockade and statistical behaviors through exact solutions, aligning with recent experimental findings.

Contribution

It provides an exact analytical solution for two-photon scattering in a waveguide-cavity-TLS system, highlighting photon blockade effects and quantum statistical properties.

Findings

Photon blockade observed in strong coupling regime

Photon bunching and anti-bunching behaviors characterized

Results agree with recent experimental observations

Abstract

We consider a system where a waveguide is coupled to a cavity embedded with a two-level system (TLS), and study the effects when a two-photon quantum state is injected into the waveguide. The wave function of two outgoing photons is exactly solved using the Lehmann-Symanzik-Zimmermann (LSZ) reduction formalism. Our results explicitly exhibit the photon blockade effects in the strong atom-cavity coupling regime. The quantum statistical characters of the outgoing photons, including the photon bunching and anti-bunching behaviors, are also investigated in both the strong and weak coupling regimes. These results agree with the observations of recent experiments.