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We show that, nonlinear optical processes of nanoparticles can be controlledby the presence of interactions with a molecule or a quantum dot. By choosingthe appropriate level spacing for the quantum emitter, one can either suppressor enhance the nonlinear frequency conversion. We reveal the underlyingmechanism for this effect, which is already observed in recent experiments: (i)Suppression occurs simply because transparency induced by Fano resonance doesnot allow an excitation at the converted frequency. (ii) Enhancement emergessince nonlinear process can be brought to resonance. Path interference effectcancels the nonresonant frequency terms. We demonstrate the underlying physicsusing a simplified model, and we show that the predictions of the model are ingood agreement with the 3-dimensional boundary element method (MNPBEM toolbox)simulations. Here, we consider the second harmonic generation in a plasmonicconverter as an example to demonstrate the control mechanism. The phenomenon isthe semi-classical analog of nonlinearity enhancement via electromagneticallyinduced transparency.

Engineering nonlinear response of nanomaterials using Fano resonances