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Irreversibility and entropy production in two coupled bosonic modes interacting with a thermal environment

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Abstract

We investigate the Markovian time evolution of the entropy production rate as a measure of irreversibility created in a quantum system consisting of two coupled bosonic modes interacting with a common thermal environment. We consider a general bilinear interaction between the modes, which accounts for the excitation exchange coupling and the two-mode squeezing coupling. The dynamics of the system is described in the framework of the theory of open quantum systems based on completely positive quantum dynamical semigroups. We provide an analytical and numerical investigation of this model for initial two-mode squeezed thermal states and show that the entropy production rate strongly depends on the two considered types of coupling between the modes.

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Acknowledgements

The authors acknowledge the financial support received from the Romanian Ministry of Research, Innovation and Digitisation, through the Project PN 23 21 01 01/2023.

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Author notes

  1. Tatiana Mihaescu and Aurelian Isar have contributed equally to this work.

Authors and Affiliations

  1. Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering, Reactorului 30, 077125, Bucharest-Magurele, Romania

    Tatiana Mihaescu & Aurelian Isar

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  1. Tatiana Mihaescu
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  2. Aurelian Isar
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Correspondence to Aurelian Isar.

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Mihaescu, T., Isar, A. Irreversibility and entropy production in two coupled bosonic modes interacting with a thermal environment. Eur. Phys. J. Plus 139, 82 (2024). https://doi.org/10.1140/epjp/s13360-024-04869-x

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