We extend the input-output formalism of quantum optics to analyze few-photon transport in waveguides with an embedded qubit. We provide explicit analytical derivations for one and two-photon scattering matrix elements based on operator equations in the Heisenberg picture.
@article{arxiv.1011.3296,
title = {Input-Output Formalism For Few-Photon Transport in One-Dimensional Nanophotonic Waveguides Coupled to a Qubit},
author = {Shanhui Fan and Şükrü Ekin Kocabaş and Jung-Tsung Shen},
journal= {arXiv preprint arXiv:1011.3296},
year = {2010}
}