Input-Output Formalism For Few-Photon Transport in One-Dimensional Nanophotonic Waveguides Coupled to a Qubit
Shanhui Fan, \c{S}\"ukr\"u Ekin Kocaba\c{s}, Jung-Tsung Shen
TL;DR
This paper extends the input-output formalism to analyze how few photons interact with a qubit in a one-dimensional nanophotonic waveguide, providing explicit analytical scattering matrix derivations.
Contribution
It introduces an extended formalism with explicit analytical derivations for one- and two-photon scattering in waveguides coupled to a qubit.
Findings
Explicit one-photon scattering matrix derived
Explicit two-photon scattering matrix derived
Framework applicable to quantum photonic device analysis
Abstract
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.
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