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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 194, Number 1, Pages 127–136
DOI: https://doi.org/10.4213/tmf9394
(Mi tmf9394)
 

This article is cited in 7 scientific papers (total in 7 papers)

Memory effects and nonequilibrium correlations in the dynamics of open quantum systems

V. G. Morozov

Moscow Technological University, Moscow, Russia
Full-text PDF (393 kB) Citations (7)
References:
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.
Keywords: nonequilibrium statistical mechanics, nonequilibrium statistical operator method, open quantum system.
Received: 01.05.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 194, Issue 1, Pages 105–113
DOI: https://doi.org/10.1134/S0040577918010075
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Morozov, “Memory effects and nonequilibrium correlations in the dynamics of open quantum systems”, TMF, 194:1 (2018), 127–136; Theoret. and Math. Phys., 194:1 (2018), 105–113
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9394
  • https://doi.org/10.4213/tmf9394
  • https://www.mathnet.ru/eng/tmf/v194/i1/p127
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:431
    Full-text PDF :120
    References:43
    First page:31
     
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