Quantum Lévy Processes and Fractional Kinetics

Dimitri Kusnezov; Aurel Bulgac; Giu Do Dang

doi:10.1103/physrevlett.82.1136

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arXiv · chao-dyn/9901002

Quantum Lévy Processes and Fractional Kinetics

Dimitri Kusnezov·Aurel Bulgac·Giu Do Dang

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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 Lévy 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.

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Dimitri Kusnezov, Aurel Bulgac, Giu Do Dang. 1999-01-04. Quantum Lévy Processes and Fractional Kinetics. https://doi.org/10.1103/physrevlett.82.1136

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