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Spin relaxation in a complex environment

Massimiliano Esposito·Pierre Gaspard
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Abstract

We report the study of a model of a two-level system interacting in a non-diagonal way with a complex environment described by Gaussian orthogonal random matrices (GORM). The effect of the interaction on the total spectrum and its consequences on the dynamics of the two-level system are analyzed. We show the existence of a critical value of the interaction, depending on the mean level spacing of the environment, above which the dynamics is self-averaging and closely obey a master equation for the time evolution of the observables of the two-level system. Analytic results are also obtained in the strong coupling regimes. We finally study the equilibrium values of the two-level system population and show under which condition it thermalizes to the environment temperature.

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Massimiliano Esposito, Pierre Gaspard. 2004-01-12. Spin relaxation in a complex environment. https://doi.org/10.1103/physreve.68.066113

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