Few-photon single-atom cavity QED with input-output formalism in Fock Space

TL;DR

This paper derives analytic solutions for one- and two-photon transport in a waveguide coupled to a Jaynes-Cummings system, revealing conditions for photon switching in quantum optics.

Contribution

It introduces an input-output formalism in Fock space to analytically solve photon transport in JC systems, advancing understanding of photon switching mechanisms.

Findings

Analytic solutions for one- and two-photon transport

Conditions for JC system to act as a photon switch

Effective operation in both strong and weak coupling regimes

Abstract

The Jaynes-Cummings (JC) system, which describes the interaction between a cavity and a two-level atom, is one of the most important systems in quantum optics. We obtain analytic solutions for the one- and two-photon transport in a waveguide side-coupled to the JC system using input-output formalism in Fock space. With these results, we discuss the conditions under which the JC system functions as a photon switch for waveguide photons in both the strong and weak coupling regimes