Exotic Stochastic Processes from Complex Quantum Environments
msra(1999)
摘要
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 L\'evy 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 L\'evy dynamics.
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关键词
levy flights,kinetic equations.,quantum dissipation,random matrix theory,classical limit,brownian motion,levy flight,kinetic theory,stochastic process,turbulent diffusion,random matrix
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