NON-MARKOVIAN STOCHASTIC LIOUVILLE EQUATION AND ANOMALOUS QUANTUM RELAXATION KINETICS
Shushin A.I.

Received: January 25, 2005

PACS: 05.40.Fb, 02.50.-r, 76.20.+q

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