Skip to main content
SpringerLink
Log in

Eigenfunctions and eigenvalues for a two-mode squeezed operator

  • Note Brevi
  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The problem of two-mode squeezed states has been considered. The eigenfunctions and the corresponding eigenvalues are found. The squeezed coherent states have been calculated. The eigenfunctions for the more general case of two single photons are obtained.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. F. Walls:Nature (London),306, 141 (1983).

    Article  ADS  Google Scholar 

  2. R. E. Slushee, L. W. Hollberg, B. Yurke, J. C. Mertz andF. J. Valley:Phys. Rev. Lett.,55, 2409 (1985).

    Article  ADS  MATH  Google Scholar 

  3. R. M. Shelby, M. D. Levenson, S. H. Perlmutter, R. G. Devoe andD. F. Walls:Phys. Rev. Lett.,57, 691 (1986).

    Article  ADS  Google Scholar 

  4. An Wu Ling, H. J. Kimble, J. L. Hall andWu Huifa:Phys. Lett.,57, 2520 (1986).

    Article  Google Scholar 

  5. P. Tombesi andE. R. Pike:Squeezed and Nonclassicl Light (Plenum Press, New York, N.Y., 1989).

    Book  Google Scholar 

  6. H. Yuen andJ. Shapiro:IEEE Trans. Inf. Theory IT,24, 657 (1978);26, 78 (1980).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. J. Shapiro, H. Yuen andI. Machado Mata:IEEE Trans. Inf. Theory IT,25, 179 (1979).

    Article  ADS  MATH  Google Scholar 

  8. C. Caves:Phys. Rev. D,23, 1693 (1981).

    Article  ADS  Google Scholar 

  9. M. J. Collet andD. F. Walls:Phys. Rev. A,32, 2887 (1985).

    Article  ADS  Google Scholar 

  10. J. R. Klauder, S. L. McCall andB. Yurke:Phys. Rev. A,33, 3204 (1986).

    Article  ADS  Google Scholar 

  11. L. Mandel:Opt. Commun.,42, 437 (1982).

    Article  ADS  Google Scholar 

  12. M. H. Hillery, M. S. Zubairy andK. Wodkiewicz:Phys. Rev. A,103, 259 (1984).

    Google Scholar 

  13. R. Loudon:Opt. Commun.,49, 67 (1984).

    Article  ADS  Google Scholar 

  14. H. P. Yuen:Phys. Rev. A,13, 2226 (1976).

    Article  ADS  MATH  Google Scholar 

  15. L. A. Lugiato andG. Strini:Opt. Commun.,41, 374 (1982).

    Article  ADS  Google Scholar 

  16. M. D. Reid andD. F. Walls:Phys. Rev. A,28, 332 (1983).

    Article  ADS  Google Scholar 

  17. D. F. Walls andP. Zoller:Phys. Rev. Lett.,47, 709 (1981).

    Article  ADS  Google Scholar 

  18. P. A. Lakshmi andG. S. Agarwal:Phys. Rev. A,29, 2260 (1984).

    Article  ADS  Google Scholar 

  19. S. Haroche andJ. M. Raimond:Adv. Atom. Mol. Phys.,20, 347 (1985);D. R. Bates andB. Bedersin (Editors):Advances in Atomic and Molecular Physics, Vol.20 (Academic Press, London, 1985), p. 347.

    Article  ADS  Google Scholar 

  20. B. R. Mollow andR. J. Glauber:Phys. Rev.,160, 1076 (1967).

    Article  ADS  Google Scholar 

  21. G. J. Milburn:J. Phys. A: Math. Gen.,17, 737 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  22. S. M. Barnett andP. L. Knight:J. Mod. Opt,34, 841 (1987).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. A. Jannussis andE. Skuras:Nuovo Cimento B,95, 63 (1986).

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia

    M. Sebawe Abdalla

Authors
  1. M. Sebawe Abdalla
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sebawe Abdalla, M. Eigenfunctions and eigenvalues for a two-mode squeezed operator. Nuov Cim B 105, 799–804 (1990). https://doi.org/10.1007/BF02742802

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02742802

PACS

PACS

Search

Navigation