Abstract
This chapter presents a theoretical framework for the description of the light-matter interaction of a single semiconductor quantum dot in a microcavity. A particular focus is the semiconductor properties of the device, the contributions of various electronic configurations, and the embedded nature of the quantum dot due to its coupling to delocalized states. Stimulated emission from the excitonic ground state and from higher excited states is discussed together with the photon statistics and cavity emission spectra. The role of dephasing for transitions between different configurations is explained. We exploit a direct solution of the von Neumann equation for the statistical operator including the full light-matter interaction in terms of the Jaynes–Cummings interaction Hamiltonian, as well as the Coulomb interaction of the quantum-dot carriers. Various dissipative processes are systematically considered using Lindblad terms.
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