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Mat. Zametki, 2017, Volume 102, Issue 6, Pages 908–916 (Mi mz11613)  

This article is cited in 1 scientific paper (total in 1 paper)

Quadratic Fermionic Dynamics with Dissipation

A. E. Teretenkov

Lomonosov Moscow State University

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.

DOI: https://doi.org/10.4213/mzm11613

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English version:
Mathematical Notes, 2017, 102:6, 846–854

Bibliographic databases:

Document Type: Article
UDC: 517
Received: 29.03.2017

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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    This publication is cited in the following articles:
    1. A. I. Trubilko, A. M. Basharov, “Kinetic equation for the density matrix of atoms in the field of a broadband one-photon packet taking into account the non-Wiener dynamics”, J. Exp. Theor. Phys., 126:5 (2018), 604–619  crossref  crossref  isi  elib  elib  scopus
  • Математические заметки Mathematical Notes
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