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Mat. Zametki, 2017, Volume 101, Issue 2, paper published in the English version journal (Mi mz11464)  

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

Papers published in the English version of the journal

Quadratic Dissipative Evolution of Gaussian States with Drift

A. E. Teretenkov

Lomonosov Moscow State University, Moscow, Russia

Abstract: The solution of the Cauchy problem for the Gorini–Kossakowski–Sudarshan–Lindblad equation describing the irreversible quantum evolution of an $n$-particle system with a generator, which is a quadratic function in creation-annihilation operators, is reduced to the calculation of standard algebraic functions of $2n \times 2n$ matrices.

Keywords: multimodal generator, GKS-L equations, quantum dissipation, Gaussian state, quantum semigroup.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00578
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00578.



English version:
Mathematical Notes, 2017, 101:2, 341–351

Bibliographic databases:

Document Type: Article
Received: 01.11.2016
Language: English

Citation: A. E. Teretenkov, “Quadratic Dissipative Evolution of Gaussian States with Drift”, Math. Notes, 101:2 (2017), 341–351

Citation in format AMSBIB
\Bibitem{Ter17}
\by A.~E.~Teretenkov
\paper Quadratic Dissipative Evolution of Gaussian States with Drift
\jour Math. Notes
\yr 2017
\vol 101
\issue 2
\pages 341--351
\mathnet{http://mi.mathnet.ru/mz11464}
\crossref{https://doi.org/10.1134/S0001434617010370}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3635289}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000396392700037}
\elib{http://elibrary.ru/item.asp?id=29482872}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85015676779}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. E. Teretenkov, “Quadratic Fermionic Dynamics with Dissipation”, Math. Notes, 102:6 (2017), 846–854  mathnet  crossref  crossref  isi  elib
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