Long-distance radiative excitation transfer between quantum dots in disordered photonic crystal waveguides

Abstract

We theoretically investigate the magnitude and range of the photon-mediated interaction between two quantum dots embedded in a photonic crystal waveguide, including fabrication disorder both in the crystal and in the dot positioning. We find that disorder-induced light localization has a drastic effect on the excitation transfer rate---as compared to an ideal structure---and that this rate varies widely among different disorder configurations. Nevertheless, we also find that significant rates of $50\phantom{\rule{0.28em}{0ex}}\ensuremath{\mu}\mathrm{eV}$ at a range of $10\phantom{\rule{0.28em}{0ex}}\ensuremath{\mu}\mathrm{m}$ can be achieved in realistic systems.