Quantum Lévy Processes and Fractional Kinetics

Details Quantum Lévy Processes and Fractional Kinetics Quantum Lévy Processes and Fractional Kinetics

1999-01-04

arxiv.org/abs/chao-dyn/9901002v1

Phys.Rev.Lett. 82 (1999) 1136

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages Revtex. To appear in Phys. Rev. Lett. (1999)

Scientific paper

10.1103/PhysRevLett.82.1136

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.

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