  Photon-number statistics of the emitted photons from a quantum dot placed in
the vicinity of a metallic nanoparticle (with either shell or solid-sphere
geometry) in the non-Markovian regime is investigated theoretically. In the
model scheme, the quantum dot is considered as a InAs three- level system in
Lambda-type configuration with two transition channels. One of channels is
driven by a polarized classical field while the two channels are coupled to the
plasmon modes. Plasmon resonance modes of a nanoshell, in contrast of a
nanosphere, are tunable at demand frequency by controlling the thickness and
the materials of the core and the embedding media. The results reveal that the
emitted photons from the hybrid system under consideration are antibunched.
Moreover, the anti- bunching behavior of the emitted photons can be controlled
by the geometrical parameters of the system, namely, the quantum dot-metal nano
particle separation distance, as well as the system's physical parameters
including the detuning frequency of the quantum dot transitions with respect to
the surface plasmon modes, and the Rabi frequency of the polarized driving
field. Additionally, the studied system has the potential to be a highly
controllable single-photon source.
