Dynamics In Photonic-Crystal Micro-cavity For Single Photon Sources

Non-classical light sources, such as single photon sources, are indispensable building blocks of quantum information systems. To realize the practical implementation of single photon sources, the micro-cavity theory, or more specifically, the dynamic theory of micro-cavity-quantum dot systems associated with single photon sources is discussed in detail in this thesis. First, we propose and analyze a novel 3-dimensional photonic-crystal which is capable of further exploring the design flexibility of any band-gap structure. While the proposed photonic-crystal does not exhibit complete band-gap across the entire Brillouin zone, a stable defect exists provided we carefully tune the structural parameters. The modal properties of said defect mode fall well within the bad-cavity limit, which can in turn improve system efficiency. The dynamic properties of the system are then investigated by solving the master equations. The system dynamics are characterized in that, 100-fold increase in radiation rate will be observed, which indicates high collection efficiency; average emitted photon number exhibits a maximum value with respect to peak excitation rate which is conform to an earlier experimental report; and said maximum value is dependent on excitation pulse duration. Photon indistinguishabilities and emission efficiencies under above-band and resonant excitations are compared at the end of the thesis. Above-band excitation will give rise to inconsistency between indistinguishability and efficiency, whereas resonant excitation can overcome this problem by increasing efficiency and indistinguishability simultaneously, which is a crucial feature for applications ever involving two-photon interference, such as linear optics quantum computation. Despite the fact that efficiencies are almost the same for these two cases, the required pumping power is significantly higher under above-band excitation, which tends to induce the undesirable higher working temperature. The above-mentioned theoretical investigations are conducive to the designs and optimizations of non-classical light sources, such as single photon sources.