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We show that, Four wave mixing (FWM) processes of grating can be controlledby the presence of interactions with a quantum dot or a molecule made bycoupled quantum dots. By choosing the appropriate level spacing for the quantumemitter, one can either suppress or enhance the Four wave mixing process. Werevel theoretically the underlying mechanism for this effect. (i) Suppressionin FWM intensity occurs simply because induced Electromagnetic InducedTransparency does not allow the excitation at converted FWM frequency. (ii)Enhancement emerges since FWM process can be brought to resonance. Pathinterference effect cancels the nonresonant frequency terms. Furthermore, wehave also shown that in case of coupled quantum dots enhancement increasessignificantly as compared to the case of a single quantum dot.

Enhancement and Suppression of Four wave mixing in coupled semiconductor quantum dot-gold grating systems