The European Physical Journal Special Topics

, Volume 160, Issue 1, pp 247–257

Correspondence between generalized binomial field states and coherent atomic states

Article

Abstract.

We show that the N-photon generalized binomial states of electromagnetic field may be put in a bijective mapping with the coherent atomic states of N two-level atoms. We exploit this correspondence to simply obtain both known and new properties of the N-photon generalized binomial states. In particular, an over-complete basis of these binomial states and an orthonormal basis are obtained. Finally, the squeezing properties of generalized binomial state are analyzed.

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References

  1. D. Stoler, B.E.A. Saleh, M.C. Teich, Opt. Acta 32, 345 (1985) Google Scholar
  2. A. Vidiella-Barranco, J.A. Roversi, Phys. Rev. A 50, 5233 (1994) Google Scholar
  3. R. Lo Franco, G. Compagno, A. Messina, A. Napoli, Phys. Rev. A 72, 053806 (2005) Google Scholar
  4. A. Vidiella-Barranco, J.A. Roversi, J. Mod. Opt. 42, 2475 (1995) Google Scholar
  5. G. Dattoli, J. Gallardo, A. Torre, J. Opt. Soc. Am. B 2, 185 (1997) Google Scholar
  6. A. Joshi, R.R. Puri, J. Mod. Opt. 36, 215 (1989) Google Scholar
  7. A. Joshi, R.R. Puri, J. Mod. Opt. 36, 557 (1989) Google Scholar
  8. C.T. Lee, Phys. Rev. A 31, 1213 (1985) Google Scholar
  9. M. Abdel-Aty, J. Opt. B: Quantum Semiclass. Opt. 6, 201 (2004) Google Scholar
  10. K.L. Pregnell, D.T. Pegg, Phys. Rev. Lett. 89, 173601 (2002) Google Scholar
  11. K.L. Pregnell, D.T. Pegg, Phys. Rev. A 67, 063814 (2003) Google Scholar
  12. J.M. Raimond, M. Brune, S. Haroche, Rev. Mod. Phys. 73, 565 (2001) Google Scholar
  13. S. Haroche, J.M. Raimond, Exploring the Quantum: Atoms, Cavities, and Photons (Oxford University Press, New York, 2006) Google Scholar
  14. R. Lo Franco, G. Compagno, A. Messina, A. Napoli, Phys. Rev. A 74, 045803 (2006) Google Scholar
  15. R. Lo Franco, G. Compagno, A. Messina, A. Napoli, Phys. Rev. A 76, 011804(R) (2007) Google Scholar
  16. H.C. Fu, R. Sasaki, J. Phys. A: Math Gen. 29, 5637 (1996) Google Scholar
  17. H.Y. Fan, S.C. Jin, Phys. Rev. A 50, 1909 (1994) Google Scholar
  18. F.T. Arecchi, E. Courtens, R. Gilmoure, H. Thomas, Phys. Rev. A 6, 2211 (1972) Google Scholar
  19. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, New York, Melbourne, 1995) Google Scholar
  20. D.T. Palev, J. Phys. A: Math Gen. 31, 5145 (1998) Google Scholar
  21. R.H. Dicke, Phys. Rev. 93, 99 (1954) Google Scholar
  22. T. Holstein, H. Primakoff, Phys. Rev. 58, 1098 (1940) Google Scholar
  23. R. Lo Franco, G. Compagno, A. Messina, A. Napoli, Open Sys. Inf. Dyn. 13, 463 (2006) Google Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Authors and Affiliations

  • R. Lo Franco
    • 1
  • G. Compagno
    • 1
  • A. Messina
    • 1
  • A. Napoli
    • 1
  1. 1.CNISM and Dipartimento di Scienze Fisiche ed AstronomicheUniversità di PalermoPalermoItaly

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