# Markovian master equations

@article{Davies1974MarkovianME, title={Markovian master equations}, author={E. B. Davies}, journal={Communications in Mathematical Physics}, year={1974}, volume={39}, pages={91-110} }

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.

#### 649 Citations

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In this paper we give an essentially self-contained account of some general structural properties of the dynamics of quantum open Markovian systems. We review some recent results regarding the… Expand

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- 2010

The results of these illustrative examples serve to clarify the general properties of other open quantum system scenarios subject to treatment within a Markovian approximation, and assess the robustness of the assumptions usually made in the process of deriving the reduced Markovians. Expand

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