# Non-Markovian stochastic Liouville equation and anomalous relaxation kinetics

Source: [Non-Markovian stochastic Liouville equation and anomalous relaxation kinetics](<https://www.sota2.com/research/paper/68fa268f2c2a3760193bb1b7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:28:13.898Z

Authors: A. I. Shushin

Published: 2004-08-04T15:04:52.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0408093>)

[PDF](<https://arxiv.org/pdf/cond-mat/0408093.pdf>)