We study the spectrum and statistical properties of photons scattered from a semiconductor-quantum-dot-metal-nanoparticle system under monochromatic and bichromatic excitations. We rely on the Bloch equation to describe the evolution of the density matrix of the quantum dot. We pay attention to the self-interaction of the quantum dot in the presence of the nanoparticle. Going beyond the dipole approximation, we show that the system exhibits optical responses of different character in different regions of the quantum dot dipole moment versus the nanoparticle radius phase diagram. In the strong transition and bistability regions, upon changing the initial state, a pronounced fluorescence spectrum may become a faint one, and an oscillatory intensity-intensity correlation may become a monotonically increasing one. The amplitudes, frequencies, and phases of the laser fields tailor the number, position, height, and width of the peaks of the fluorescence spectrum. The antibunched light as well as the sub-Poissonian light can be generated. Our results suggest that in view of solid-state-based sources of nonclassical light, a hybrid quantum-dot-nanoparticle system may be superior to an isolated quantum dot.
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