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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 1, Pages 116–123
DOI: https://doi.org/10.4213/tmf6890 (Mi tmf6890) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Statistical approach to the Jaynes–Cummings model

N. N. Bogolyubov (Jr.)a, M. Yu. Rasulovabc, I. A. Tishabaevb

a Steklov Mathematical Institute, Russian Academy of Sciences
b Institute of Nuclear Physics, Uzbekistan Academy of Sciences, Ulugbek, Tashkent, Uzbekistan
c Malasian Institute of Microelectronic Systems, Kuala-Lumpur, Malaysia
Full-text PDF (361 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6890
Abstract: We study the dynamics of systems consisting of interacting two-level atoms and a field (microcavities). Such systems include the Jaynes–Cummings model. We formulate the problem and present a short history of it, derive a generalized kinetic equation for the system, find its solution, and show that this model allows describing photon emission and absorption.
Keywords: generalized kinetic equation, two-level atom, microcavity.
Received: 25.02.2011
Revised: 25.07.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 1, Pages 523–530
DOI: https://doi.org/10.1007/s11232-012-0050-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. N. Bogolyubov (Jr.), M. Yu. Rasulova, I. A. Tishabaev, “Statistical approach to the Jaynes–Cummings model”, TMF, 171:1 (2012), 116–123; Theoret. and Math. Phys., 171:1 (2012), 523–530
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6890
  • https://doi.org/10.4213/tmf6890
  • https://www.mathnet.ru/eng/tmf/v171/i1/p116
    • This publication is cited in the following 4 articles:
    1. Abdel-Khalek S. Khalil E.M. Alsubei B. Bogolubov Jr. N. N. Rasulova M.Yu., “Entangled Pair of the Su(1) Quantum Systems Interacting With Two Two-Level Atoms”, J. Russ. Laser Res., 41:1 (2020), 30–39  crossref  isi
    2. Mukhayo Rasulova, Industrial and Applied Mathematics, Mathematical Modelling, Optimization, Analytic and Numerical Solutions, 2020, 173  crossref
    3. Bogolubov Jr. N. N., Rasulova M.Yu., Tishaboev I.A., “Quantum Dynamics of Two-Level Atoms Interacting With An Electromagnetic Field”, Int. J. Mod. Phys. B, 28:8 (2014), 1450060  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Bogolubov N.N.J., Rasulova M.Yu., Tishabaev I.A., “Solution of Generalized Jaynes-Cummings Model For Many Particle Systems”, Quantum, Nano, Micro Technologies and Applied Researches, Applied Mechanics and Materials, 481, ed. Wang Y., Trans Tech Publications Ltd, 2014, 272–277  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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