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Matematicheskie Zametki, 2017, Volume 102, Issue 6, Pages 908–916
DOI: https://doi.org/10.4213/mzm11613
(Mi mzm11613)
 

This article is cited in 9 scientific papers (total in 9 papers)

Quadratic Fermionic Dynamics with Dissipation

A. E. Teretenkov

Lomonosov Moscow State University
Full-text PDF (488 kB) Citations (9)
References:
Abstract: Gaussian solutions of the Cauchy problem for the GKS-L equation (in the Schrödinger picture) with quadratic fermionic generators are obtained. These Gaussian solutions are represented both as exponentials of quadratic forms in fermionic creation-annihilation operators and by their normal symbols. The coefficients of these forms are represented as algebraic functions of matrices.
Keywords: the Gorini–Kossakowski–Sudarshan equation, the Lindblad equation, quantum dissipation, Gaussian states, completely positive quantum dynamics.
Received: 29.03.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 6, Pages 846–854
DOI: https://doi.org/10.1134/S0001434617110244
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. E. Teretenkov, “Quadratic Fermionic Dynamics with Dissipation”, Mat. Zametki, 102:6 (2017), 908–916; Math. Notes, 102:6 (2017), 846–854
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm11613
  • https://doi.org/10.4213/mzm11613
  • https://www.mathnet.ru/eng/mzm/v102/i6/p908
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:421
    Full-text PDF :63
    References:49
    First page:24
     
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