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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 51, Number 1, Pages 73–85 (Mi tmf2395)  

This article is cited in 22 scientific papers (total in 22 papers)

Behavior of the partition function of Dicke type models in the limit of a large number of atoms

V. N. Popov, S. A. Fedotov
References:
Abstract: Functional integration is used to obtain the asymptotic behavior of the partition function of Dicke type models in the limit N, where N is the number of atoms.
Received: 27.01.1981
English version:
Theoretical and Mathematical Physics, 1982, Volume 51, Issue 1, Pages 363–371
DOI: https://doi.org/10.1007/BF01029262
Bibliographic databases:
Language: Russian
Citation: V. N. Popov, S. A. Fedotov, “Behavior of the partition function of Dicke type models in the limit of a large number of atoms”, TMF, 51:1 (1982), 73–85; Theoret. and Math. Phys., 51:1 (1982), 363–371
Citation in format AMSBIB
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\by V.~N.~Popov, S.~A.~Fedotov
\paper Behavior of the partition function of Dicke type models in the limit of a~large number of atoms
\jour TMF
\yr 1982
\vol 51
\issue 1
\pages 73--85
\mathnet{http://mi.mathnet.ru/tmf2395}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=672767}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 51
\issue 1
\pages 363--371
\crossref{https://doi.org/10.1007/BF01029262}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982PP79800007}
Linking options:
  • https://www.mathnet.ru/eng/tmf2395
  • https://www.mathnet.ru/eng/tmf/v51/i1/p73
  • This publication is cited in the following 22 articles:
    1. Yue 越 Chen 陈, Maoxin 卯鑫 Liu 刘, Xiaosong 晓松 Chen 陈, “Ground-state phase diagram, symmetries, excitation spectra and finite-frequency scaling of the two-mode quantum Rabi model”, Chinese Phys. B, 32:10 (2023), 104213  crossref
    2. Shan Huang, Ni Liu, J.-Q. Liang, Hebin Li, “Collapse of superradiant phase and Dicke phase transition at finite temperature in a hybrid optical-mechanical system”, Phys. Scr., 96:9 (2021), 095801  crossref
    3. Wei-Feng Zhuang, Bin Geng, Hong-Gang Luo, Guang-Can Guo, Ming Gong, “Universality class and exact phase boundary in the superradiant phase transition”, Phys. Rev. A, 104:5 (2021)  crossref
    4. He-Guang Xu, Chen Wang, Xian-Long Gao, “Two-photon statistics of nonclassical radiation in the dissipative finite-size Dicke model”, J. Phys. B: At. Mol. Opt. Phys., 53:15 (2020), 155406  crossref
    5. Ni Liu, Shan Huang, Jun-Qi Li, Jiu-Qing Liang, “Phase transition and thermodynamic properties of N two-level atoms in an optomechanical cavity at finite temperature”, Acta Phys. Sin., 68:19 (2019), 193701  crossref
    6. Jia Shu-Fang, Liang Jiu-Qing, “Finite-temperature properties of N two-level atoms in a single-mode optic cavity and phase transition”, Acta Phys. Sin., 64:13 (2015), 130505  crossref
    7. M. Aparicio Alcalde, H. Quevedo, N.F. Svaiter, “Single-bubble sonoluminescence as Dicke superradiance at finite temperature”, Physica A: Statistical Mechanics and its Applications, 416 (2014), 142  crossref
    8. Jingtao Fan, Zhiwei Yang, Yuanwei Zhang, Jie Ma, Gang Chen, Suotang Jia, “Hidden continuous symmetry and Nambu-Goldstone mode in a two-mode Dicke model”, Phys. Rev. A, 89:2 (2014)  crossref
    9. Emanuele G. Dalla Torre, Sebastian Diehl, Mikhail D. Lukin, Subir Sachdev, Philipp Strack, “Keldysh approach for nonequilibrium phase transitions in quantum optics: Beyond the Dicke model in optical cavities”, Phys. Rev. A, 87:2 (2013)  crossref
    10. M. Aparicio Alcalde, B.M. Pimentel, “Thermal phase transition for some spin-boson models”, Physica A: Statistical Mechanics and its Applications, 392:17 (2013), 3765  crossref
    11. Yuanwei Zhang, Jinling Lian, J.-Q. Liang, Gang Chen, Chuanwei Zhang, Suotang Jia, “Finite-temperature Dicke phase transition of a Bose-Einstein condensate in an optical cavity”, Phys. Rev. A, 87:1 (2013)  crossref
    12. M Aparicio Alcalde, J Stephany, N F Svaiter, “A path integral approach to the full Dicke model with dipole–dipole interaction”, J. Phys. A: Math. Theor., 44:50 (2011), 505301  crossref
    13. M. Aparicio Alcalde, B.M. Pimentel, “Path integral approach to the full Dicke model”, Physica A: Statistical Mechanics and its Applications, 390:20 (2011), 3385  crossref
    14. M. Aparicio Alcalde, A. H. Cardenas, N. F. Svaiter, V. B. Bezerra, “Entangled states and superradiant phase transitions”, Phys. Rev. A, 81:3 (2010)  crossref
    15. M. Aparicio Alcalde, R. Kullock, N. F. Svaiter, “Virtual processes and super-radiance in spin-boson models”, Journal of Mathematical Physics, 50:1 (2009)  crossref
    16. M Aparicio Alcalde, A L L de Lemos, N F Svaiter, “Functional methods in the generalized Dicke model”, J. Phys. A: Math. Theor., 40:39 (2007), 11961  crossref
    17. A. F. Izmailov, A. R. Kessel, “Derivation of the indirect interaction operator by the path integral method. Exact results in the sd exchange model”, Theoret. and Math. Phys., 80:3 (1989), 959–967  mathnet  crossref  isi
    18. S. A. Fedotov, “Asymptotics of averages in a nonequilibrium model of Dicke type”, J Math Sci, 46:5 (1989), 2137  crossref
    19. G. O. Balabanyan, “Theory of single-mode laser radiation for Dicke type model systems”, Theoret. and Math. Phys., 58:1 (1984), 72–79  mathnet  crossref  isi
    20. V. A. Zagrebnov, “The approximating Hamiltonian method for an infinite-mode Dicke maser model withA 2-term”, Z. Physik B - Condensed Matter, 55:1 (1984), 75  crossref
    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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