Altering Degenerate Four-Wave Mixing and Third-Harmonic Generation in a Coupled Quantum Dot–Metallic Nanoparticle Structure with the Use of the Purcell Effect

Abstract

We study the modification of the phenomena of degenerate four-wave mixing and third-harmonic generation in a quantum dot that is coupled to a spherical metallic nanoparticle. We find that the strong alteration of the quantum dot's spontaneous decay rate near the metallic nanoparticle gives strong variation, either enhancement or suppression, to the phenomena of degenerate four-wave mixing and third-harmonic generation for different distances of the quantum dot from the surface of the metallic nanoparticle, depending on the electric dipole direction of the quantum dot. We also show that the degree of enhancement or suppression of the nonlinear optical susceptibilities differs for the studied phenomena and it is stronger for degenerate four-wave mixing than for third-harmonic generation. This work may have important potential applications in the creation of nanoscale photonic devices for various technological applications.