Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Trudy Mat. Inst. Steklova, 2021, Volume 313, Pages 253–262 (Mi tm4160)  

An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations

A. E. Teretenkov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: A simple example of completely positive dynamics is considered for which both the generator of a nonlocal integro-differential equation leading to such dynamics and the time-local generator can be calculated explicitly. It is demonstrated that introducing a small parameter in this simple example allows one to reproduce some nonperturbative phenomena that occur in more realistic models. In addition, a special case of fermionic dynamics is considered, and it is shown that one can actually find families of moments whose dynamics is linear but satisfies non-Markovian equations.

Funding Agency Grant Number
Russian Science Foundation 17-71-20154
This work is supported by the Russian Science Foundation under grant 17-71-20154.


DOI: https://doi.org/10.4213/tm4160

Full text: PDF file (207 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics, 2021, 313, 236–245

Bibliographic databases:

UDC: 517.958
Received: August 24, 2020
Revised: September 11, 2020
Accepted: October 29, 2020

Citation: A. E. Teretenkov, “An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 253–262; Proc. Steklov Inst. Math., 313 (2021), 236–245

Citation in format AMSBIB
\Bibitem{Ter21}
\by A.~E.~Teretenkov
\paper An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations
\inbook Mathematics of Quantum Technologies
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 313
\pages 253--262
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4160}
\crossref{https://doi.org/10.4213/tm4160}
\elib{https://elibrary.ru/item.asp?id=46908229}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2021
\vol 313
\pages 236--245
\crossref{https://doi.org/10.1134/S0081543821020218}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000674956500021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85110733875}


Linking options:
  • http://mi.mathnet.ru/eng/tm4160
  • https://doi.org/10.4213/tm4160
  • http://mi.mathnet.ru/eng/tm/v313/p253

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Number of views:
    This page:111
    References:5
    First page:6

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021