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A time-dependent regularization of the Redfield equation
by Antonio D'Abbruzzo, Vasco Cavina, Vittorio Giovannetti
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Antonio D'Abbruzzo |
| Submission information | |
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| Preprint Link: | scipost_202211_00019v3 (pdf) |
| Date accepted: | 2023-08-07 |
| Date submitted: | 2023-07-13 16:27 |
| Submitted by: | D'Abbruzzo, Antonio |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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 states, we introduce a new quantitative approach based on the Choi-Jamiołkowski isomorphism.
List of changes
- The statement of weak-coupling regime was modified below Eq. (5), and a citation to Mozgunov and Lidar [20] was added.
- In the Conclusions section, the open problem of the thermodynamic characterization of the regularized Redfield equation was specified, together with a brief discussion on the mean force Gibbs state for the traditional Redfield equation. Correspondingly, a citation to Lee and Yeo, Phys. Rev. E 106, 054145 (2022) was added.
- Typos were corrected.
Published as SciPost Phys. 15, 117 (2023)