Lobachevskii Journal of Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Lobachevskii J. Math.:
Year:
Volume:
Issue:
Page:
Find






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


Lobachevskii J. Math., 2019, Volume 40, Number 10, Pages 1587–1605 (Mi ljm191)  

This article is cited in 2 scientific papers (total in 2 papers)

Non-Markovian evolution of multi-level system interacting with several reservoirs. Exact and approximate

A. E. Teretenkovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991 Russia
b Lomonosov Moscow State University, Moscow, 119991 Russia

Abstract: An exactly solvable model for the multi-level system interacting with several reservoirs at zero temperatures is presented. Population decay rates and decoherence rates predicted by exact solution and several approximate master equations, which are widespread in physical literature, are compared. The space of parameters is classified with respect to different inequalities between the exact and approximate rates.

Keywords: non-Markovian master equation, Redfield equation, Gorini–Kossakowski–Sudarshan–Lindblad equation.

Funding Agency Grant Number
Russian Science Foundation 17-71-20154
This work was supported by the Russian Science Foundation, project no. 17-71-20154.


DOI: https://doi.org/10.1134/S1995080219100263


Bibliographic databases:

ArXiv: 1904.07365
Received: 28.05.2019
Revised version: 30.05.2019
Language:

Linking options:
  • http://mi.mathnet.ru/eng/ljm191

    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

    This publication is cited in the following articles:
    1. Yu. A. Nosal, A. E. Teretenkov, “Exact Dynamics of Moments and Correlation Functions for GKSL Fermionic Equations of Poisson Type”, Math. Notes, 108:6 (2020), 911–915  mathnet  crossref  crossref  mathscinet  isi  elib
    2. A. S. Trushechkin, “Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method”, Proc. Steklov Inst. Math., 313 (2021), 246–257  mathnet  crossref  crossref  isi  elib
  • Lobachevskii Journal of Mathematics
    Number of views:
    This page:12

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