TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.3.117
TI  - A time-dependent regularization of the Redfield equation
PY  - 2023/09/27
UR  - https://scipost.org/SciPostPhys.15.3.117
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 3
SP  - 117
A1  - D'Abbruzzo, Antonio
AU  - Cavina, Vasco
AU  - Giovannetti, Vittorio
AB  - We introduce a new regularization of the Redfield equation based on a replacement of the Kossakowski matrix with its closest positive semidefinite neighbor. Unlike most of the existing approaches, this procedure is capable of retaining the time dependence of the Kossakowski matrix, leading to a completely positive divisible quantum process. Using the dynamics of an exactly-solvable three-level open system as a reference, we show that our approach performs better during the transient evolution, if compared to other approaches like the partial secular master equation or the universal Lindblad equation. To make the comparison between different regularization schemes independent from the initial state, we introduce a new quantitative approach based on the Choi-Jamiołkowski isomorphism.
ER  -

@Article{10.21468/SciPostPhys.15.3.117,
	title={{A time-dependent regularization of the Redfield equation}},
	author={Antonio D'Abbruzzo and Vasco Cavina and Vittorio Giovannetti},
	journal={SciPost Phys.},
	volume={15},
	pages={117},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.3.117},
	url={https://scipost.org/10.21468/SciPostPhys.15.3.117},
}