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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 433, Pages 65–77 (Mi znsl6127)  
This article is cited in 6 scientific papers (total in 6 papers)

Time-dependent correlation functions for a bimodal Bose–Hubbard model

N. M. Bogoliubovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia
Full-text PDF (195 kB) Citations (6)
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Abstract: The bimodal Bose–Hubbard model is studied. The application of the Quantum Inverse Method allows to calculate the time-dependent correlation functions of the model. Form-factors of the bosonic creation and annihilation operators in the wells are expressed in the determinantal form.
Key words and phrases: Quantum Inverse Method, time-dependent correlation functions, Bose–Hubbard model.
Funding agency Grant number
Russian Science Foundation 14-11-00598
Partially supported by the RSF (grant 14-11-00598).
Received: 18.03.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 213, Issue 5, Pages 662–670
DOI: https://doi.org/10.1007/s10958-016-2730-4
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. M. Bogoliubov, “Time-dependent correlation functions for a bimodal Bose–Hubbard model”, Questions of quantum field theory and statistical physics. Part 23, Zap. Nauchn. Sem. POMI, 433, POMI, St. Petersburg, 2015, 65–77; J. Math. Sci. (N. Y.), 213:5 (2016), 662–670
Citation in format AMSBIB
\Bibitem{Bog15}
\by N.~M.~Bogoliubov
\paper Time-dependent correlation functions for a~bimodal Bose--Hubbard model
\inbook Questions of quantum field theory and statistical physics. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 433
\pages 65--77
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6127}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3493680}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 213
\issue 5
\pages 662--670
\crossref{https://doi.org/10.1007/s10958-016-2730-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84957680685}
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  • https://www.mathnet.ru/eng/znsl/v433/p65
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:39
     
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