1999/11/20 by Dimitri Kusnezov, Aurel Bulgac, Giu Do Dang
Physics and Astronomy · #nucl-th #cond-mat #quant-ph
published as Physics E9, 436-442 (2001) · 7 pages, Elsevier style file espcrc2.sty
arxiv created 1999/11/20 · arxiv updated 2009/11/30
Stochastic processes are shown to emerge from the time evolution of complex quantum systems. Using parametric, banded random matrix ensembles to describe a quantum chaotic environment, we show that the dynamical evolution of a particle coupled to such environments displays a variety of stochastic behaviors, ranging from turbulent diffusion to Lévy processes and Brownian motion. Dissipation and diffusion emerge naturally in the stochastic interpretation of the dynamics. This approach provides a derivation of a fractional kinetic theory in the classical limit and leads to classical Lévy dynamics.