Theory of Spin Noise in Semiconductor Quantum Dots
Spin-noise spectroscopy is an important technique for revealing the microscopic nature of spin decoherence in quantum dots. For its theoretical descriptions, isotropic and anisotropic variants of the central spin model will be investigated. Issues to be addressed are quantum mechanical effects in large spin baths, the computation of higher order correlators such as four-point correlators, and the description of nuclear spin noise and the correlations of the nuclear spins of different sub-ensembles. Furthermore, we want to address diluted baths, i.e., baths of small numbers of nuclear spins, and how they can be manipulated and how specific states of them can be prepared. We will also study correlations between the electron and nuclear spins and microscopic scenarios of nuclear polaron formation.