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The quantum dynamics of many-electron spin systems is investigated using a reduced-density-matrix description. Applications of interest include trapped atomic systems in optical lattices, semiconductor quantum dots, and vacancy defect centers in solids. Complimentary time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations are self-consistently developed. The general non-perturbative and non-Markovian formulations provide a fundamental framework for systematic evaluations of corrections to the standard Born (lowest-order-perturbation) and Markov (short-memory-time) approximations. Particular attention is given to decoherence and relaxation processes, together with spectral-line broadening phenomena, that are induced by interactions of many-electron spin systems with photons, phonons, nuclear spins, external electric, magnetic, and electromagnetic fields. Within the framework of a quantum-open-systems (reduced-density-operator) approach, these processes are treated either as ...

canadian journal of physics

Reduced-density-matrix description of decoherence and relaxation processes for electron-spin systems: Applications to trapped atomic systems in optical lattices, semiconductor quantum dots, and vacancy defect centers in solids