Correlated few-photon transport in one-dimensional waveguides: linear and nonlinear dispersions

TL;DR

This paper investigates how correlated few-photon transport behaves in one-dimensional waveguides with different dispersion relations, revealing significant enhancements in two-photon current for sinusoidal dispersion.

Contribution

It provides exact calculations of photon transmission for both linear and nonlinear dispersions, highlighting the impact of dispersion on photon correlations in waveguides.

Findings

Enhanced two-photon current at specific transition energies.

Differences in photon transport between linear and nonlinear dispersions.

Exact analytical expressions for single- and two-photon currents.

Abstract

We address correlated few-photon transport in one-dimensional waveguides coupled to a two-level system (TLS), such as an atom or a quantum dot. We derive exactly the single-photon and two-photon current (transmission) for linear and nonlinear (tight-binding sinusoidal) energy-momentum dispersion relations of photons in the waveguides and compare the results for the different dispersions. A large enhancement of the two-photon current for the sinusoidal dispersion has been seen at a certain transition energy of the TLS away from the single-photon resonances.