Phase transitions in a system of atoms interacting with a coherent field

  • S. V. Lawande
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 184)


The driven Dicke model exhibits interesting critical behaviour. Within the conservation of Ŝ2>, a mathematical condition required for the model, the model predicts a second order phase transition for resonant coherent driving field; bistable behaviour is predicted if the system is placed in a cavity in resonance with the external field as well as with the atomic transition. If interaction between the atoms is included, the system predicts a first order phase transition for certain values of the parameters related to the interaction, field amplitude and frequency detuning. At this stage it is an open question, where these critical phenomena can be observed in an experiment. Experiments with very large wavelength (low frequency) and large dipole moment characteristic of Rydberg atoms may perhaps yield this information. Because of the exactness of the model, it may also be possible to explain the critical behaviour in a more fundamental way. This issue is, however, open and needs further thought.


Master Equation Order Phase Transition Scattered Radiation Rydberg Atom Frequency Detuning 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    H. Haken “Synergetics” (Springer-Heidelberg 1977)Google Scholar
  2. 2.
    G. Nicolis and I. Prigogine “Self Organization in Non-equilibrium Systems” (John Wiley: New York 1977)Google Scholar
  3. 3.
    R.H. Dicke, Phys. Rev. 93, 99 (1954)Google Scholar
  4. 4.
    G.S. Agarwal, “Springer Tracts in Modern Physics”, Vo1.70 (Springer, 1974)Google Scholar
  5. 5.
    S.S. Hassan and R.K. Bullough, “Optical Bistability” eds. C.M. Bowden, M. Ciftan and H. Robl, pp.307–404 (Plenum: New York, 1981)Google Scholar
  6. 6.
    S.V. Lawande, R.R. Puri and S.S. Hassan, J. Phys. B: Atom Mol. 15, 1029 (1982)Google Scholar
  7. 7.
    S.S. Hassan, G.P. Hildred, R.R. Puri and S.V. Lawande, J.Phys.B: Atom Mol. 15, 1029 (1982)Google Scholar
  8. 8.
    R.R. Puri and S.V. Lawande, Phys. Lett. A72, 200 (1977), Physica A101, 599 (1980)Google Scholar
  9. 9.
    S. Ya Kilin, Sov. Phys. (JETP) 51, 1081 (1780)Google Scholar
  10. 10.
    P.D. Drummond, Phys. Rev. A22, 1179 (1980)Google Scholar
  11. 11.
    H.J. Carmichael, J. Phys. B13, 3551 (1980)Google Scholar
  12. 12.
    S.S. Hassan, R.K. Bullough, R.R. Puri and S.V. Lawande, Physica A103, 213 (1980)Google Scholar
  13. 13.
    R.R. Puri, S.V. Lawande and S.S. Hassan, Opt. Comm. 35, 179 (1980)Google Scholar
  14. 14.
    L.M. Narducci, D.H. Feng, R. Gilmore and G.S. Agarwal, Phys. Rev. A18, 1751 (1978)Google Scholar
  15. 15.
    R.R. Puri, R.K. Bullough and S.S. Hassan, Applied Physics B, 174 (1982)Google Scholar
  16. 16.
    S. Ya. Kilin, Sov. Phys. JETP 55, 38 (1982)Google Scholar
  17. 17.
    F.T. Arecchi, E. Courtens, R. Gilmore and H. Thomas, Phys. Rev. A6, 2211 (1973)Google Scholar
  18. 18.
    R.R. Puri and S.V. Lawande, to appear in Physica (1983).Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • S. V. Lawande
    • 1
  1. 1.Theoretical Reactor Physics SectionBhabha Atomic Research CentreBombayIndia

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