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Markovian master equations

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Abstract

We give a rigorous proof that under certain technical conditions the memory effects in a quantum-mechanical master equation become negligible in the weak coupling limit. This is sufficient to show that a number of open systems obey an exponential decay law in the weak coupling limit for a rescaled time variable. The theory is applied to a fairly general finite dimensional system weakly coupled to an infinite free heat bath.

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Authors and Affiliations

  1. Mathematical Institute, Oxford, England

    E. B. Davies

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  1. E. B. Davies
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Communicated by K. Hepp

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Davies, E.B. Markovian master equations. Commun.Math. Phys. 39, 91–110 (1974). https://doi.org/10.1007/BF01608389

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  • DOI: https://doi.org/10.1007/BF01608389

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