OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1572–1577

Type II parametric downconversion in the Wigner-function formalism: entanglement and Bell’s inequalities

Alberto Casado, Trevor W. Marshall, and Emilio Santos  »View Author Affiliations


JOSA B, Vol. 15, Issue 5, pp. 1572-1577 (1998)
http://dx.doi.org/10.1364/JOSAB.15.001572


View Full Text Article

Enhanced HTML    Acrobat PDF (234 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We continue the analysis of our previous papers that were devoted to type I parametric downconversion, the extension to type II being straightforward. We show that entanglement, in the Wigner representation, is merely a correlation that involves both signals and vacuum fluctuations. An analysis of the detection process opens the way to a complete description of parametric downconversion in terms of pure Maxwell electromagnetic waves.

© 1998 Optical Society of America

OCIS Codes
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers
(270.0270) Quantum optics : Quantum optics

Citation
Alberto Casado, Trevor W. Marshall, and Emilio Santos, "Type II parametric downconversion in the Wigner-function formalism: entanglement and Bell's inequalities," J. Opt. Soc. Am. B 15, 1572-1577 (1998)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-5-1572


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Casado, T. W. Marshall, and E. Santos, J. Opt. Soc. Am. B 14, 494–502 (1997). [CrossRef]
  2. A. Casado, A. Fernández-Rueda, T. W. Marshall, R. Risco-Delgado, and E. Santos, Phys. Rev. A 55, 3879 (1997). [CrossRef]
  3. A. Casado, A. Fernández-Rueda, T. W. Marshall, R. Risco-Delgado, and E. Santos, Phys. Rev. A 56, 2477–2480 (1997). [CrossRef]
  4. L. de la Peña and A. M. Cetto, The Quantum Dice. An Introduction to Stochastic Electrodynamics (Kluwer Academic, Dordrecht, The Netherlands, 1996).
  5. T. W. Marshall and E. Santos, in The Present Status of the Quantum Theory of Light: Proceedings of a Symposium in Honour of Jean-Pierre Vigier, S. Jeffers, S. Roy, J. P. Vigier, and G. Hunter, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1997), pp. 67–77.
  6. A. V. Belinsky and D. N. Klyshko, Phys. Lett. A 166, 303 (1992). [CrossRef]
  7. M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122–5133 (1994). [CrossRef] [PubMed]
  8. Y. H. Shih and A. V. Sergienko, Phys. Lett. A 186, 29–34 (1994); Y. H. Shih, A. V. Sergienko, M. H. Rubin, T. E. Kiess, and C. O. Alley, Phys. Rev. A 50, 23–50 (1994); Y. H. Shih and A. V. Sergienko, Phys. Rev. A PLRAAN 50, 2564–2568 (1994); Phys. Lett. A PYLAAG 191, 201–207 (1994). [CrossRef] [PubMed]
  9. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995). [CrossRef] [PubMed]
  10. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).
  11. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), Chapter 17; G. H. Rieke, Detection of Light: from the Ultraviolet to the Submillimeter (Cambridge U. Press, Cambridge, UK, 1994).
  12. J. F. Clauser and A. Shimony, Rep. Prog. Phys. 41, 1881–1927 (1978). [CrossRef]
  13. J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526–535 (1974). [CrossRef]
  14. T. W. Marshall and E. Santos, Found. Phys. 18, 185–201 (1988); Phys. Rev. A 39, 6271–6283 (1989); M. Ferrero, T. W. Marshall, and E. Santos, Am. J. Phys. AJPIAS 58, 683–688 (1990); T. W. Marshall, Found. Phys. FNDPA4 21, 209–219 (1991); E. Santos, Phys. Rev. A PLRAAN 46, 3646–3656 (1992). [CrossRef] [PubMed]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited