Open-quantum-system dynamics: Recovering positivity of the Redfield equation via the partial secular approximation

@article{Farina2019OpenquantumsystemDR,
  title={Open-quantum-system dynamics: Recovering positivity of the Redfield equation via the partial secular approximation},
  author={D. Farina and Vittorio Giovannetti},
  journal={Physical Review A},
  year={2019}
}
We show how to recover complete positivity (and hence positivity) of the Redfield equation via a coarse grain average technique. We derive general bounds for the coarse graining time scale above which the positivity of the Redfield equation is guaranteed. It turns out that a coarse grain time scale has strong impact on the characteristics of the Lamb shift term and implies in general non-commutation between the dissipating and the Hamiltonian components of the generator of the dynamical semi… 

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