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Phase transition in a model two-level system

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Abstract

A two-level Bose-system interacting with a multimode Fermi-field is considered. The path integration method is used to obtain the spectrum of the collective excitations below the phase transition point in the superradiant state. The question of phase transition stability is investigated.

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Literature cited

  1. R. H. Dicke, “Coherence in spontaneous radiation processes,” Phys. Rev.,93, No. 1, 99–110 (1954).

    Google Scholar 

  2. Y. K. Wang and F. T. Hioe, “Phase transition in the Dicke model of superradiance,” Phys. Rev. A,7, No. 3, 831–836 (1973).

    Google Scholar 

  3. V. B. Kir'yanov and V. S. Yarunin, “Superradiance for lattice model with Lee interaction,” Teor. Mat. Fiz.,43, No. 1, 91–99 (1980).

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  4. A. F. Sadreev, “Collective radiative phenomena in two-level systems,” Zh. Eksp. Teor. Fiz.,77, No. 3, 829–842 (1979).

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  5. V. N. Popov, Path Integrals in Quantum Field Theory and Statistical Physics [in Russian], Atomizdat, Moscow (1976).

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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 101, pp. 184–195, 1981.

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Fedotov, S.A. Phase transition in a model two-level system. J Math Sci 23, 2487–2494 (1983). https://doi.org/10.1007/BF01084177

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  • DOI: https://doi.org/10.1007/BF01084177

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