Abstract
In thermal equilibrium, both electron and nuclear spin systems are unpolarized on average, but characterized by nonzero fluctuations. These fluctuations are inevitable due to the quantum-mechanical nature of spin. The physics of spin fluctuations in electron and nucelar systems is studied in this chapter. The intensity and dynamics of these inevitable stochastic fluctuations of spins contain information on spin relaxation and decoherence times, spin precession period, and interactions in spin systems. The theory of spin fluctuations in semiconductor nanosystems as well as experimental advances in the field of spin noise spectroscopy are reviewed. Specific situations where the spin noise spectroscopy can be particularly useful for spin dynamics studies are discussed, the analysis of recent progress in the field of nonequlibrium spin fluctuations is also presented.
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