  Hybrid nanocomposites can offer a wide range of opportunities to control the
light-matter interac- tion and electromagnetic energy flow at the nanoscale,
leading to exotic optoelectronic devices. We study theoretically the
dipole-dipole interaction in noble metal nanoparticles-graphene nanodisks-
quantum dots hybrid systems in the optical region of the electromagnetic
spectrum. The quantum dot is assumed to be a three-level atom interacting with
ultrashort control and probe pulses in a Lambda configuration. The dynamics of
the system are studied by numerically solving for the time evo- lution of the
density matrix elements. We investigate the rate of energy exchange between
surface plasmon resonances of the graphene nanodisks and excitons of the
quantum dots in the presence of metal nanoparticles at steady state and for
specific geometrical conditions of the system. Ultrafast population dynamics
are obtained with a large energy exchange rate significantly depending on the
size of metal nanoparticles. The power transfer can be controlled by varying
the center-to-center distances between the components of the system, and their
positions with respect to each other. We also find that the rate of energy
transfer within the system is governed by the probe field Rabi frequency,
enhanced by the dipole-dipole interaction.
