Single photon transport in one-dimensional coupled-resonator waveguide coupling to a whispering gallery resonator interacting with a semiconductor quantum dot

Abstract

We theoretically investigate the hybrid mechanism for transmission of a single photon in one-dimensional coupled microcavity waveguide coupled to a whispering-gallery resonator interacting with a semiconductor quantum dot (QD). The QD is modeled as a V-type three-level system. The reflection and transmission coefficients for a single photon propagating in the hybrid system are deduced by using the discrete coordinates approach. The resonator–QD coupling strength, intermode backscattering, and the detuning between the resonator and the QD, respectively, which affect the transport properties of the single photon, are analyzed. We also compare the single photon transport properties in the waveguides with sinusoidal, linear, and quadratic form dispersion relations.