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Non-Markovian Evolution of Multi-level System Interacting with Several Reservoirs. Exact and Approximate

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Abstract

An exactly solvable model for the multi-level system interacting with several reservoirs at zero temperatures is presented. Population decay rates and decoherence rates predicted by exact solution and several approximate master equations, which are widespread in physical literature, are compared. The space of parameters is classified with respect to different inequalities between the exact and approximate rates.

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Acknowledgments

The author thanks A.S. Trushechkin for sufficient help in setting the main goals of this study and fruitful discussion at all the steps of the study. The author thanks I.V. Volovich, S.V. Kozyrev, B.O. Volkov and A.I. Mikhailov for the useful discussion of the problems considered in the work.

Funding

This work was supported by the Russian Science Foundation, project no. 17-71-20154.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991, Russia

    A. E. Teretenkov

  2. Lomonosov Moscow State University, Moscow, 119991, Russia

    A. E. Teretenkov

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  1. A. E. Teretenkov
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Correspondence to A. E. Teretenkov.

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Submitted by S. A. Grigoryan

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Teretenkov, A.E. Non-Markovian Evolution of Multi-level System Interacting with Several Reservoirs. Exact and Approximate. Lobachevskii J Math 40, 1587–1605 (2019). https://doi.org/10.1134/S1995080219100263

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  • DOI: https://doi.org/10.1134/S1995080219100263

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