Theory of Photon-Pair Correlations in Parametric Downconversion in a Microcavity
Applied Optics, Vol. 40, Issue 24, pp. 4050-4053 (2001)
http://dx.doi.org/10.1364/AO.40.004050
Acrobat PDF (96 KB)
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. <b>85,</b> 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
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: Year | Journal | Reset
References
- D. C. Burnham and D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
- Z. Y. Ou, X. Y. Zou, L. J. Wang, and L. Mandel, “Experiment on nonclassical fourth-order interference,” Phys. Rev. A 42, 2957–2965 (1990).
- C. K. Hong and L. Mandel, “Theory of parametric frequency down-conversion of light,” Phys. Rev. A 31, 2409–2418 (1985).
- Z. Y. Ou and L. Mandel, “Violation of Bell’s inequality and classical probability in a two-photon correlation experiment,” Phys. Rev. Lett. 61, 50–53 (1988).
- P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, “New high-intensity source of polarization–entangled photon pairs,” Phys. Rev. Lett. 75, 4337–4341 (1995).
- C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
- S. L. Braunstein and H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998).
- L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994).
- T. J. Herzog, G. J. Rarity, H. Weinfurter, and Z. Zeilinger, “Frustrated two-photon creation via interference,” Phys. Rev. Lett. 72, 629–632 (1994).
- Z. Y. Ou and Y. J. Lu, “Cavity enhanced spontaneous down-conversion for the prolongation of correlation time between conjugate photons,” Phys. Rev. Lett. 85, 2556–2559 (1999).
- M. J. Collett and C. W. Gardiner, “Squeezing of intracavity and travelling-wave light fields produced in parametric amplification,” Phys. Rev. A 30, 1386–1391 (1984).
- R. Andrews, E. R. Pike, and S. Sarkar, “Photon correlations and interference in type-I optical parametric down-conversion,” J. Opt. B: Quantum Semicl. Opt. 1, 588–597 (1999).
- R. Andrews, E. R. Pike, and S. Sarkar, “The role of second-order nonlinearities in the generation of localized photons,” Pure Appl. Opt. 7, 293–299 (1998).
- F. De Martini, M. Marrocco, P. Mataloni, L. Crescentini, and R. Loudon, “Spontaneous emission in the optical microscopic cavity,” Phys. Rev. A 43, 2480–2497 (1991).
- B. Zysset, I. Biaggio, and P. Gunter, “Refractive indices of orthorhombic KNbO_{3}: dispersion and temperature dependence,” J. Opt. Soc. Am. B 9, 380–386 (1992).
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.
« Previous Article | Next Article »
OSA is a member of CrossRef.