Coherent effects in quantum transport models and their classical counterparts

Abstract

We analyze the transport properties of quasiparticles locally excited at an initial time moment in several exactly solvable quantum models. It is revealed that, in the investigated quantum systems, the time-dependent probability distribution function (PDF) exhibits behavior similar to that of classical continuous-time random walk (CTRW) models, such as Lévy walks or diffusing diffusivity.

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