Quantum L\'evy Processes and Fractional Kinetics
chao-dyn
2009-10-31 v1 Mesoscale and Nanoscale Physics
Chaotic Dynamics
Nuclear Theory
Abstract
Exotic stochastic processes are shown to emerge in the quantum evolution of complex systems. Using influence function techniques, we consider the dynamics of a system coupled to a chaotic subsystem described through random matrix theory. We find that the reduced density matrix can display dynamics given by L\'evy stable laws. The classical limit of these dynamics can be related to fractional kinetic equations. In particular we derive a fractional extension of Kramers equation.
Cite
@article{arxiv.chao-dyn/9901002,
title = {Quantum L\'evy Processes and Fractional Kinetics},
author = {Dimitri Kusnezov and Aurel Bulgac and Giu Do Dang},
journal= {arXiv preprint arXiv:chao-dyn/9901002},
year = {2009}
}
Comments
4 pages Revtex. To appear in Phys. Rev. Lett. (1999)