OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 24 — Aug. 20, 2001
  • pp: 4050–4053

Theory of photon-pair correlations in parametric downconversion in a microcavity

Roger Andrews, Edward Roy Pike, and Sarben Sarkar  »View Author Affiliations


Applied Optics, Vol. 40, Issue 24, pp. 4050-4053 (2001)
http://dx.doi.org/10.1364/AO.40.004050


View Full Text Article

Enhanced HTML    Acrobat PDF (96 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A theory of spontaneous parametric downconversion in a nonlinear crystal that is placed inside a microcavity in the degenerate, collinear, type I arrangement is given. Both atom and field variables are fully quantized. The photon-correlation function for the entangled photon pairs produced has a much longer correlation time (∼0.4 ns) than that without the cavity (of the order of subpicoseconds) and can be measured directly with fast photodetectors. We also calculate the resonant suppression and enhancement in the photon-pair count rate as a function of cavity length. The results are in qualitative agreement with recent downconversion experiments [Phys. Rev. Lett. 85, 2556 (1999)] in a 4.5-mm cavity.

© 2001 Optical Society of America

OCIS Codes
(270.0270) Quantum optics : Quantum optics
(270.4180) Quantum optics : Multiphoton processes

History
Original Manuscript: December 19, 2000
Revised Manuscript: May 1, 2001
Published: August 20, 2001

Citation
Roger Andrews, Edward Roy Pike, and Sarben Sarkar, "Theory of photon-pair correlations in parametric downconversion in a microcavity," Appl. Opt. 40, 4050-4053 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-24-4050


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D. C. Burnham, D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970). [CrossRef]
  2. Z. Y. Ou, X. Y. Zou, L. J. Wang, L. Mandel, “Experiment on nonclassical fourth-order interference,” Phys. Rev. A 42, 2957–2965 (1990). [CrossRef] [PubMed]
  3. C. K. Hong, L. Mandel, “Theory of parametric frequency down-conversion of light,” Phys. Rev. A 31, 2409–2418 (1985). [CrossRef] [PubMed]
  4. Z. Y. Ou, L. Mandel, “Violation of Bell’s inequality and classical probability in a two-photon correlation experiment,” Phys. Rev. Lett. 61, 50–53 (1988). [CrossRef] [PubMed]
  5. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, Y. H. Shih, “New high-intensity source of polarization–entangled photon pairs,” Phys. Rev. Lett. 75, 4337–4341 (1995). [CrossRef] [PubMed]
  6. C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W. K. Wootters, “Teleporting an unknown quantum state via classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993). [CrossRef] [PubMed]
  7. S. L. Braunstein, H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998). [CrossRef]
  8. L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994). [CrossRef] [PubMed]
  9. T. J. Herzog, G. J. Rarity, H. Weinfurter, Z. Zeilinger, “Frustrated two-photon creation via interference,” Phys. Rev. Lett. 72, 629–632 (1994). [CrossRef] [PubMed]
  10. Z. Y. Ou, Y. J. Lu, “Cavity enhanced spontaneous down-conversion for the prolongation of correlation time between conjugate photons,” Phys. Rev. Lett. 85, 2556–2559 (1999). [CrossRef]
  11. M. J. Collett, C. W. Gardiner, “Squeezing of intracavity and travelling-wave light fields produced in parametric amplification,” Phys. Rev. A 30, 1386–1391 (1984). [CrossRef]
  12. R. Andrews, E. R. Pike, S. Sarkar, “Photon correlations and interference in type-I optical parametric down-conversion,” J. Opt. B: Quantum Semicl. Opt. 1, 588–597 (1999).
  13. R. Andrews, E. R. Pike, S. Sarkar, “The role of second-order nonlinearities in the generation of localized photons,” Pure Appl. Opt. 7, 293–299 (1998). [CrossRef]
  14. F. De Martini, M. Marrocco, P. Mataloni, L. Crescentini, R. Loudon, “Spontaneous emission in the optical microscopic cavity,” Phys. Rev. A 43, 2480–2497 (1991). [CrossRef] [PubMed]
  15. B. Zysset, I. Biaggio, P. Gunter, “Refractive indices of orthorhombic KNbO3: dispersion and temperature dependence,” J. Opt. Soc. Am. B 9, 380–386 (1992). [CrossRef]

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