Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom

TL;DR

This paper presents an exact theoretical analysis of single-photon transport in a waveguide coupled to a cavity with a two-level atom, highlighting how dissipation influences photon transmission, reflection, and excitation dynamics.

Contribution

It provides an exact real-space solution for photon transport in a waveguide-cavity-atom system, revealing the distinct effects of cavity and atom dissipation on transport properties.

Findings

Dissipation in the cavity and atom differently affects photon transport.

The phase relationship between cavity and atom excitations is influenced by dissipation.

Exact solutions for transmission, reflection, and excitation amplitudes are derived.

Abstract

The single-photon transport in a single-mode waveguide, coupled to a cavity embedded with a two-leval atom is analyzed. The single-photon transmission and reflection amplitudes, as well as the cavity and the atom excitation amplitudes, are solved exactly via a real-space approach. It is shown that the dissipation of the cavity and of the atom respectively affects distinctively on the transport properties of the photons, and on the relative phase between the excitation amplitudes of the cavity mode and the atom.