Skip to main content
Log in

On the non-linear Jaynes-Cummings model: The path-integral approach

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

In the article we have solved the non-linear Jaynes-Cummings model (JCM) using the formalism incorporating the coherent-state propagators and the path-integral technique. In particular, we have obtained the propagators in the coherent and the occupation-number representations of the multiphoton JCM.

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. Haroche S.:in New Trends in Atomic Physics (edited by Grynberg G., Stora R.). North-Holland, Amsterdam, 1984.

    Google Scholar 

  2. Haroche S., Raimond J. H.:in Advances in Atomic and Molecular Physics, vol. 20 (edited by Bates D. R., Bederson B.). Academic Press, New York, 1985.

    Google Scholar 

  3. Filipowicz P., Meystre P., Rempe G., Walther H.: Optica Acta32 (1985) 1105.

    Google Scholar 

  4. Meschede D., Walther H., Muller G.: Phys. Rev. Lett.54 (1985) 551.

    Google Scholar 

  5. Rempe G., Walther H., Klein N.: Phys. Rev. Lett.58 (1987) 353.

    Google Scholar 

  6. Jaynes E. T., Cummings F. W.: Proc. IEEE51 (1963) 89.

    Google Scholar 

  7. Allen L., Eberly J. H.: Optical Resonance and Two-level Atoms. J. Wiley and Sons, New-York, 1975.

    Google Scholar 

  8. Yoo H.-I., Eberly J. H.: Physics Reports118 (1985) 239.

    Google Scholar 

  9. Bloch F., Siegert A. J.: Phys. Rev.57 (1940) 522.

    Google Scholar 

  10. Agarwal G. S.: Quantum Statistical Theories of Spontaneous Emission and Their Relation Other Approaches. Springer Tracts in Modern Physics, vol. 70. Springer-Verlag, Berlin, 1974.

    Google Scholar 

  11. Slichter C. P.: Principles of Magnetic Resonance. Springer-Verlag, Berlin, 1978.

    Google Scholar 

  12. Lee T. D.: Phys. Rev.95 (1954) 1329.

    Google Scholar 

  13. Marshal J. T., Pell J. L.: Phys. Rev. D24 (1981) 394.

    Google Scholar 

  14. Glimm J., Jaffe J. L.: Quantum Physics. A Functional Integral Point of View. Springer-Verlag, New York, 1981.

    Google Scholar 

  15. Hillery M., Zubairy M. S.: Phys. Rev. A26 (1982) 451.

    Google Scholar 

  16. Lett P., Ghosh R., Friberg S., Mandel L.: Phys. Rev. A30 (1984) 890.

    Google Scholar 

  17. Zaheer K., Zubairy M. S.: Phys. Rev. A37 (1988) 1628.

    Google Scholar 

  18. Klauder J. R., Sudarshan E. C. G.: Fundamentals of Quantum Optics. W. A. Benjamin, Inc., New York, 1968.

    Google Scholar 

  19. Buck B., Sukumar C. V.: Phys. Lett. A81 (1981) 132.

    Google Scholar 

  20. Klauder J. R.: Ann. Phys. (N. Y.)11 (1960) 123.

    Google Scholar 

  21. Sukumar C. V., Buck B.: Phys. Lett. A83 (1981) 211.

    Google Scholar 

  22. Sukumar C. V., Buck B.: J. Phys. A17 (1984) 885.

    Google Scholar 

  23. Singh S.: Phys. Rev. A25 (1982) 3206.

    Google Scholar 

  24. Sunches-Mondragon J. J., Narozhny N. B., Eberly J. H.: Phys. Rev. Lett.51 (1983) 550.

    Google Scholar 

  25. Agarwal G. S.: Phys. Rev. Lett.53 (1984) 1732.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

BuŽek, V. On the non-linear Jaynes-Cummings model: The path-integral approach. Czech J Phys 39, 757–765 (1989). https://doi.org/10.1007/BF01598454

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01598454

Navigation