Skip to main content
Log in

Equilibrium superradiance in a Bose gas

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

A model of free4He atoms interacting with radiation exhibits an equilibrium phase transition in which the atomic ground-state Bose condensation is coupled to condensations of virtual photons and virtually excited atoms of the same macroscopic wavelength. The condensed phase has a twofold polarization degeneracy. It is suggested that this might furnish a mechanism for a discrete symmetry-related phase degeneracy of superfluid liquid4He required to explain the λ transition according to Tisza's generalized Gibbsian thermodynamics. A more realistic model would require inclusion of repulsive interactions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Tisza,Ann. Phys. (N.Y.) 13:1 (1961).

    Google Scholar 

  2. R. H. Dicke,Phys. Rev. 93:99 (1954).

    Google Scholar 

  3. K. Hepp and E. H. Lieb,Ann. Phys. (N. Y.) 76:360 (1973).

    Google Scholar 

  4. R. W. Gibberd,Austral. J. Phys. 27:241 (1974).

    Google Scholar 

  5. R. Gilmore,J. Math. Phys. 18:17 (1977), and references cited therein.

    Google Scholar 

  6. M. D. Girardeau,J. Math. Phys. 16:1901 (1975).

    Google Scholar 

  7. J. D. Gilbert,J. Math. Phys. 18:791 (1977).

    Google Scholar 

  8. S. Nakajima,Prog. Theor. Phys. 45:353 (1971).

    Google Scholar 

  9. M. D. Girardeau and R. M. Mazo, inAdvances in Chemical Physics (Wiley, New York, 1973), Vol. XXIV, pp. 187ff.

    Google Scholar 

  10. K. Rzazewski, W. Wodkiewicz, and W. Zakowicz,Phys. Rev. Lett. 35:432 (1975).

    Google Scholar 

  11. R. F. Sawyer and D. J. Scalapino,Phys. Rev. D 7:953 (1973).

    Google Scholar 

  12. G. Baym and E. Flowers,Nucl. Phys. A222:29 (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by the National Science Foundation, Grant DMR76-17467.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Girardeau, M.D. Equilibrium superradiance in a Bose gas. J Stat Phys 18, 207–215 (1978). https://doi.org/10.1007/BF01014311

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01014311

Key words

Navigation