Exotic Stochastic Processes from Complex Quantum Environments

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dc.creatorKusnezov, Dimitri
dc.creatorBulgac, Aurel
dc.creatorDang, Giu Do
dc.date1999-11-20
dc.date.accessioned2026-07-07T05:43:23Z
dc.date.available2026-07-07T05:43:23Z
dc.descriptionStochastic 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.
dc.description7 pages, Elsevier style file espcrc2.sty
dc.identifierhttps://arxiv.org/abs/nucl-th/9911069
dc.identifierhttp://arxiv.org/abs/nucl-th/9911069
dc.identifierPhysics E9, 436-442 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83284
dc.subjectNuclear Theory
dc.subjectCondensed Matter
dc.subjectQuantum Physics
dc.titleExotic Stochastic Processes from Complex Quantum Environments
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