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Usually, the liner waveguides with single quantum emitters are utilized asrouters to construct the quantum network in quantum information processings.Here, we investigate the influence of the nonlinear dispersion on quantumrouting of single surface plasmons, between two metal nanowires with a pair ofquantum dots. By using a full quantum theory in real space, we obtain therouting probabilities of a single surface plasmon into the four outports of twoplasmonic waveguides scattered by a pair of quantum dots. It is shown that, byproperly designing the inter-dot distance and the dot-plasmon couplings, therouting capability of the surface plasmons between the plasmonic waveguidechannels can be significantly higher than the relevant network formed by thesingle-emitter waveguides with the linear dispersions. Interestingly, thepresent quadratic dispersions in the waveguides deliver the manifest Fano-likeresonances of the surface-plasmon transport. Therefore, the proposed double-dotconfiguration could be utilized as a robust quantum router for controlling thesurface-plasmon routing in the plasmonic waveguides and a plasmonic Fano-likeresonance controller.

Routing surface plasmons by a quantum-dot nanostructure: nonlinear dispersion effects