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Memory Effects and Nonequilibrium Correlations in the Dynamics of Open Quantum Systems

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Abstract

We propose a systematic approach to the dynamics of open quantum systems in the framework of Zubarev’s nonequilibrium statistical operator method. The approach is based on the relation between ensemble means of the Hubbard operators and the matrix elements of the reduced statistical operator of an open quantum system. This key relation allows deriving master equations for open systems following a scheme conceptually identical to the scheme used to derive kinetic equations for distribution functions. The advantage of the proposed formalism is that some relevant dynamical correlations between an open system and its environment can be taken into account. To illustrate the method, we derive a non-Markovian master equation containing the contribution of nonequilibrium correlations associated with energy conservation.

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Authors and Affiliations

  1. Moscow Technological University, Moscow, Russia

    V. G. Morozov

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  1. V. G. Morozov
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Correspondence to V. G. Morozov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 194, No. 1, pp. 127–136, January, 2018.

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Morozov, V.G. Memory Effects and Nonequilibrium Correlations in the Dynamics of Open Quantum Systems. Theor Math Phys 194, 105–113 (2018). https://doi.org/10.1134/S0040577918010075

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  • DOI: https://doi.org/10.1134/S0040577918010075

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