OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 7, Iss. 1 — Jan. 1, 1990
  • pp: 116–124

Periodicity, phase, and entropy in models of two-photon resonance

S. J. D. Phoenix and P. L. Knight  »View Author Affiliations

JOSA B, Vol. 7, Issue 1, pp. 116-124 (1990)

View Full Text Article

Acrobat PDF (1001 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The excitation of Rydberg atom transitions by submillimeter-wavelength radiation in high-Q cavities forms the basis of the micromaser. The excitation dynamics of a micromaser is known to be dependent on the detailed photon statistics in the interaction cavity and can exhibit well-known collapses and revivals of the atomic inversion, dipole moment, and photon number. We study these effects in a two-photon model in which the time evolution is exactly periodic. We study the field entropy in two two-photon cases and link the fluctuations in the field phase to the changes in the field entropy. We also calculate the statistical Q function of the field and show how the periodicity of the two-photon dynamics is linked to a periodic splitting of the Q function in phase space. Finally this periodicity is linked to the nature of the atom-field dressed states involved in two-photon resonance.

© 1990 Optical Society of America

S. J. D. Phoenix and P. L. Knight, "Periodicity, phase, and entropy in models of two-photon resonance," J. Opt. Soc. Am. B 7, 116-124 (1990)

Sort:  Author  |  Journal  |  Reset


  1. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).
  2. J. H. Eberly, J. J. Sanchez-Mondragon, and N. B. Narozhny, Phys. Rev. Lett. 44, 1323 (1980).
  3. N. B. Narozhny, J. J. Sanchez-Mondragon, and J. H. Eberly, Phys. Rev. A 23, 236 (1981).
  4. For a review of some recent developments in the JCM, see S. M. Barnett, P. Filipowicz, J. Javanainen, P. L. Knight, and P. Meystre, in Frontiers of Quantum Optics, E. R. Pike and S. Sarkar, eds. (Hilger, Bristol, UK, 1986).
  5. P. L. Knight and P. M. Radmore, Phys. Rev. A 26, 676 (1982); Phys. Lett. 90A, 342 (1982).
  6. G. Rempe, H. Walther, and N. Klein, Phys. Rev. Lett. 58, 353 (1987).
  7. J. Eiselt, Opt. Commun. 72, 351 (1989).
  8. B. Buck and C. V. Sukumar, Phys. Lett. 81A, 132 (1981); C. V. Sukumar and B. Buck, Phys. Lett. 83A, 211 (1981).
  9. V. Buzek, Phys. Rev. A 39, 3196 (1989).
  10. P. L. Knight, Phys. Scr. T12, 51 (1986).
  11. A. S. Schumovsky, F. L. Kien, and E. I. Aliskenderov, Phys. Lett. 124A, 351 (1987); N. N. Bogolubov, Jr., F. L. Kien, and A. S. Schumovsky, Phys. Lett. 107A, 436 (1985); S. Y. Zhu, J. Mod. Opt. 36, 499 (1989); X. S. Li and N. Y. Bei, Phys. Lett. 101A, 169 (1984); X. S. Li and Y. N. Peng, Phys. Rev. A 32, 1501 (1985); X. S. Li and C. D. Gong, Phys. Rev. A 33, 2807 (1986).
  12. S. Singh, Phys. Rev. A 25, 3206 (1982); P. Alsing and M. S. Zubairy, J. Opt. Soc. Am. B 4, 177 (1987); R. R. Puri and R. K. Bullough, J. Opt. Soc. Am. B 5, 2021 (1988); H. I. Yoo and J. H. Eberly, Phys. Rep. 118, 239 (1985); A. Joshi and R. R. Puri, J. Mod. Opt. 36, 215 (1989); R. R. Puri and G. S. Agarwal, Phys. Rev. A 37,3879 (1988); A. Joshi and R. R. Puri, J. Mod. Opt. 36, 557 (1989).
  13. S. J. D. Phoenix and P. L. Knight, Ann. Phys. (NY) 186, 381 (1988).
  14. M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. A 35, 154 (1987); L. Davidovich, J. M. Raimond, M. Brune, and S. Haroche, Phys. Rev. A 36, 3771 (1987); M. Brune, J. M. Raimond, P. Goy, L. Davidovich, and S. Haroche, Phys. Rev. Lett. 59, 1899 (1987).
  15. H. Araki and E. Lieb, Commun. Math. Phys. 18, 160 (1970).
  16. S. M. Barnett and D. T. Pegg, J. Phys. A 19, 3849 (1986).
  17. R. Loudon, The Quantum Theory of Light, 1st. ed. (Oxford U. Press, Oxford, 1973), p. 143.
  18. S. M. Barnett and D. T. Pegg, J. Mod. Opt. 36, 7 (1989); D. T. Pegg and S. M. Barnett, Phys. Rev. A 39, 1665 (1989).
  19. R. Loudon and P. L. Knight, J. Mod. Opt. 34, 709 (1987).
  20. See, for example, W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973).
  21. B. L. Schumaker and C. M. Caves, Phys. Rev. A 31, 3093 (1985).
  22. D. Meschede, H. Walther, and G. Muller, Phys. Rev. Lett. 54, 551 (1985); P. Filipowicz, J. Javanainen, and P. Meystre, Phys. Rev. A 34, 3077 (1986).
  23. S. Stenholm, Phys. Rep. C6, 1 (1973).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited