Non-Markovian stochastic Liouville equation and anomalous relaxation kinetics

Details Non-Markovian stochastic Liouville equation and anomalous relaxation kinetics Non-Markovian stochastic Liouville equation and anomalous relaxation kinetics

2004-08-04

arxiv.org/abs/cond-mat/0408093v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures

Scientific paper

10.1134/1.2131926

The kinetics of phase and population relaxation in quantum systems induced by noise with anomalously slowly decaying correlation function P (t) ~ (wt)^{- alpha}, where 0 < alpha < 1 is analyzed within continuous time random walk approach. The relaxation kinetics is shown to be anomalously slow. Moreover for alpha < 1 in the limit of short characteristic time of fluctuations w^{-1} the kinetics is independent of w. As alpha \to 1 the relaxation regime changes from the static limit to fluctuation narrowing. Simple analytical expressions are obtained describing the specific features of the kinetics.

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