Nonlinearity and Randomness in Quantum Transport
Strong interactions with lattice vibrations can lead to profound modifications in the transport of quasiparticles such as electrons or excitons moving in solids. Recent approaches to the problem of the description of such transport have been based on discrete nonlinear quantum evolution equations. This is a brief review of some aspects of this recent activity. The first part of the article consists of a bird’s- eye-view presentation of several recent results for the nonlinear quantum dimer as well as for spatially extended systems, and of their applications to various experiments ranging from muon spin relaxation to fluorescence depolarization. The second part focuses attention on a particular kind of the interplay of nonlinearity and of randomness in such systems.
KeywordsExtended Chain Density Matrix Element Muon Spin Relaxation Generalize Master Equation Fluorescence Depolarization
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