The effects of plasmonic metallic nanoparticle (MP) and laser control of the optical properties of a quantum system (QS) under electromagnetic induced transparency (EIT) are studied using a general and exact vectorial description for the local fields that depends nonlinearly on the quantum coherences of the QS, giving a double quantum coherence. We study the variations of the dielectric function with the laser parameters in the presence of surface plasmon resonance (SPR) in the MP. Energy level shifts and enhanced long-range Forster interaction due to plasmonic effect.