Influence Of Phonon Reservoir On Properties Of Coupling Between Two Different Quantum Dots In An Off-resonant Microcavity

The main distinction between the atom system and solid-state quantum dot system is that the electron-phonon interactions cannot be neglected in the latter. Due to the electron-phonon interactions, phonons will participate in the quantum transition of the whole system. For a cavity quantum electrodynamics system where the quantum dot (QD) is coherently driven, the influence of this phonon-mediated coupling on property of dynamics system have been studied, such as photon emission of cavity-field and a single QD laser. In this thesis, we study the system in which the coupling between two different QDs embedded in a photonic crystal microcavity is considered, where one of the QDs is blue detuned from the cavity and resonantly driven by the laser, the other one is red detuned from the cavity. We transform the whole system into the polaron frame to eliminate the electron-phonon coupling. Under the Born-Markovian approximation, we trace over the operators of the phonon reservoir, and derive the master equation for the reduced density operator of the dots-cavity system, in which the role of the phonon is included as dissipative terms. We explore the influence of the phonon on the coupling of these two different quantum dots by calculating the output spectra of the cavity field, In the output spectra of the cavity field, the Mollow triplet appears at the QD2resonance. We also note the off-resonance emission of phonons from the cavity and QD1. The numerical result indicates that, when the QD1-cavity coupling is present, the emission of phonons from QD1can be observed, and the strength of emission of phonons can be enhanced by the couplings of the QD1with the cavity and phonon reservoir. Additionally, in order to understand the physical reason for appearance of the peak in off-resonance emission, we also study the properties of the resonance fluorescence spectrum using an approximate treatment.