Abstract

A microscopic multimode theory of collinear type-I spontaneous parametric downconversion in a cavity is presented. Single-mode and multimode correlation functions have been derived using fully quantized atom and electromagnetic field variables. From a first principles calculation the FWHM of the single-mode correlation function and the cavity enhancement factor have been obtained in terms of mirror reflectivities and the first-order crystal dispersion coefficient. The values obtained are in good agreement with recent experimental results [Phys. Rev. A 62 , 033804 (2000)].

© 2002 Optical Society of America

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  1. D. C. Burnham and 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, and L. Mandel, “Experiment on nonclassical fourth-order interference,” Phys. Rev. A 42, 2957–2965 (1990).
    [Crossref] [PubMed]
  3. C. K. Hong and L. Mandel, “Theory of parametric frequency down-conversion of light,” Phys. Rev. A 31, 2409–2418 (1985).
    [Crossref] [PubMed]
  4. 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).
    [Crossref] [PubMed]
  5. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995).
    [Crossref] [PubMed]
  6. 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).
    [Crossref] [PubMed]
  7. S. L. Braunstein and 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. D. Bouwmeester, J-W Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
    [Crossref]
  10. J-W Pan, D. Bouwmeester, H. Weinfurter, and A. Zeilinger, “Experimental entanglement swapping : Entangling photons that never interacted,” Phys. Rev. Lett. 80, 3891–3894 (1998).
    [Crossref]
  11. D. Bouwmeester, J-W Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345–1349 (1999).
    [Crossref]
  12. J. G. Rarity and P. R. Tapster, “Two-color photons and nonlocality in fourth-order interference,” Phys. Rev. A 41, 5139–5146 (1990).
    [Crossref] [PubMed]
  13. X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett 67, 318–321 (1991).
    [Crossref] [PubMed]
  14. C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
    [Crossref] [PubMed]
  15. Z. Y. Ou and Y. J. Lu, “Cavity enhanced spontaneous parametric down-conversion for the prolongation of correlation time between conjugate photons,” Phys. Rev. Lett. 83, 2556–2559 (1999).
    [Crossref]
  16. Y. J. Lu and Z. Y. Ou, “Optical parametric oscillator far below threshold: Experiment vs theory,” Phys. Rev. A 62, 033804–033804–11 (2000).
    [Crossref]
  17. 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).
    [Crossref]
  18. 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).
    [Crossref]
  19. 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).
    [Crossref] [PubMed]
  20. B. Zysset, I. Biaggio, and P. Gunter, “Refractive indices of orthorhombic KNbO3 : Dispersion and temperature dependence,” J. Opt. Soc. Am. B 9, 380–386 (1992).
    [Crossref]
  21. R. Andrews, E. R. Pike, and S. Sarkar, “Photon correlations and interference intype-I optical parametric down-conversion,” J. Opt. B: Quantum Semiclass. Opt. 1, 588–597 (1999).
    [Crossref]

2000 (1)

Y. J. Lu and Z. Y. Ou, “Optical parametric oscillator far below threshold: Experiment vs theory,” Phys. Rev. A 62, 033804–033804–11 (2000).
[Crossref]

1999 (3)

D. Bouwmeester, J-W Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345–1349 (1999).
[Crossref]

R. Andrews, E. R. Pike, and S. Sarkar, “Photon correlations and interference intype-I optical parametric down-conversion,” J. Opt. B: Quantum Semiclass. Opt. 1, 588–597 (1999).
[Crossref]

Z. Y. Ou and Y. J. Lu, “Cavity enhanced spontaneous parametric down-conversion for the prolongation of correlation time between conjugate photons,” Phys. Rev. Lett. 83, 2556–2559 (1999).
[Crossref]

1998 (3)

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).
[Crossref]

J-W Pan, D. Bouwmeester, H. Weinfurter, and A. Zeilinger, “Experimental entanglement swapping : Entangling photons that never interacted,” Phys. Rev. Lett. 80, 3891–3894 (1998).
[Crossref]

S. L. Braunstein and H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998).
[Crossref]

1997 (1)

D. Bouwmeester, J-W Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[Crossref]

1995 (1)

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995).
[Crossref] [PubMed]

1994 (1)

L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994).
[Crossref] [PubMed]

1993 (1)

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).
[Crossref] [PubMed]

1992 (1)

1991 (2)

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).
[Crossref] [PubMed]

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett 67, 318–321 (1991).
[Crossref] [PubMed]

1990 (2)

J. G. Rarity and P. R. Tapster, “Two-color photons and nonlocality in fourth-order interference,” Phys. Rev. A 41, 5139–5146 (1990).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

1988 (1)

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).
[Crossref] [PubMed]

1987 (1)

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref] [PubMed]

1985 (1)

C. K. Hong and L. Mandel, “Theory of parametric frequency down-conversion of light,” Phys. Rev. A 31, 2409–2418 (1985).
[Crossref] [PubMed]

1984 (1)

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).
[Crossref]

1970 (1)

D. C. Burnham and D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
[Crossref]

Andrews, R.

R. Andrews, E. R. Pike, and S. Sarkar, “Photon correlations and interference intype-I optical parametric down-conversion,” J. Opt. B: Quantum Semiclass. Opt. 1, 588–597 (1999).
[Crossref]

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).
[Crossref]

Bennett, C. H.

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).
[Crossref] [PubMed]

Biaggio, I.

Bouwmeester, D.

D. Bouwmeester, J-W Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345–1349 (1999).
[Crossref]

J-W Pan, D. Bouwmeester, H. Weinfurter, and A. Zeilinger, “Experimental entanglement swapping : Entangling photons that never interacted,” Phys. Rev. Lett. 80, 3891–3894 (1998).
[Crossref]

D. Bouwmeester, J-W Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[Crossref]

Brassard, G.

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).
[Crossref] [PubMed]

Braunstein, S. L.

S. L. Braunstein and H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998).
[Crossref]

Burnham, D. C.

D. C. Burnham and D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
[Crossref]

Collett, M. J.

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).
[Crossref]

Crepeau, C.

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).
[Crossref] [PubMed]

Crescentini, L.

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).
[Crossref] [PubMed]

Daniell, M.

D. Bouwmeester, J-W Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345–1349 (1999).
[Crossref]

De Martini, F.

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).
[Crossref] [PubMed]

Eibl, M.

D. Bouwmeester, J-W Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[Crossref]

Gardiner, C. W.

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).
[Crossref]

Gunter, P.

Hong, C. K.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref] [PubMed]

C. K. Hong and L. Mandel, “Theory of parametric frequency down-conversion of light,” Phys. Rev. A 31, 2409–2418 (1985).
[Crossref] [PubMed]

Jozsa, R.

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).
[Crossref] [PubMed]

Kimble, H. J.

S. L. Braunstein and H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998).
[Crossref]

Kwiat, P. G.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995).
[Crossref] [PubMed]

Loudon, R.

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).
[Crossref] [PubMed]

Lu, Y. J.

Y. J. Lu and Z. Y. Ou, “Optical parametric oscillator far below threshold: Experiment vs theory,” Phys. Rev. A 62, 033804–033804–11 (2000).
[Crossref]

Z. Y. Ou and Y. J. Lu, “Cavity enhanced spontaneous parametric down-conversion for the prolongation of correlation time between conjugate photons,” Phys. Rev. Lett. 83, 2556–2559 (1999).
[Crossref]

Mandel, L.

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett 67, 318–321 (1991).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref] [PubMed]

C. K. Hong and L. Mandel, “Theory of parametric frequency down-conversion of light,” Phys. Rev. A 31, 2409–2418 (1985).
[Crossref] [PubMed]

Marrocco, M.

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).
[Crossref] [PubMed]

Mataloni, P.

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).
[Crossref] [PubMed]

Mattle, K.

D. Bouwmeester, J-W Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[Crossref]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995).
[Crossref] [PubMed]

Ou, Z. Y.

Y. J. Lu and Z. Y. Ou, “Optical parametric oscillator far below threshold: Experiment vs theory,” Phys. Rev. A 62, 033804–033804–11 (2000).
[Crossref]

Z. Y. Ou and Y. J. Lu, “Cavity enhanced spontaneous parametric down-conversion for the prolongation of correlation time between conjugate photons,” Phys. Rev. Lett. 83, 2556–2559 (1999).
[Crossref]

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).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref] [PubMed]

Pan, J-W

D. Bouwmeester, J-W Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345–1349 (1999).
[Crossref]

J-W Pan, D. Bouwmeester, H. Weinfurter, and A. Zeilinger, “Experimental entanglement swapping : Entangling photons that never interacted,” Phys. Rev. Lett. 80, 3891–3894 (1998).
[Crossref]

D. Bouwmeester, J-W Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[Crossref]

Peres, A.

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).
[Crossref] [PubMed]

Pike, E. R.

R. Andrews, E. R. Pike, and S. Sarkar, “Photon correlations and interference intype-I optical parametric down-conversion,” J. Opt. B: Quantum Semiclass. Opt. 1, 588–597 (1999).
[Crossref]

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).
[Crossref]

Rarity, J. G.

J. G. Rarity and P. R. Tapster, “Two-color photons and nonlocality in fourth-order interference,” Phys. Rev. A 41, 5139–5146 (1990).
[Crossref] [PubMed]

Sarkar, S.

R. Andrews, E. R. Pike, and S. Sarkar, “Photon correlations and interference intype-I optical parametric down-conversion,” J. Opt. B: Quantum Semiclass. Opt. 1, 588–597 (1999).
[Crossref]

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).
[Crossref]

Sergienko, A. V.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995).
[Crossref] [PubMed]

Shih, Y. H.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995).
[Crossref] [PubMed]

Tapster, P. R.

J. G. Rarity and P. R. Tapster, “Two-color photons and nonlocality in fourth-order interference,” Phys. Rev. A 41, 5139–5146 (1990).
[Crossref] [PubMed]

Vaidman, L.

L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994).
[Crossref] [PubMed]

Wang, L. J.

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett 67, 318–321 (1991).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

Weinberg, D. L.

D. C. Burnham and D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
[Crossref]

Weinfurter, H.

D. Bouwmeester, J-W Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345–1349 (1999).
[Crossref]

J-W Pan, D. Bouwmeester, H. Weinfurter, and A. Zeilinger, “Experimental entanglement swapping : Entangling photons that never interacted,” Phys. Rev. Lett. 80, 3891–3894 (1998).
[Crossref]

D. Bouwmeester, J-W Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[Crossref]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995).
[Crossref] [PubMed]

Wootters, W. K.

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).
[Crossref] [PubMed]

Zeilinger, A.

D. Bouwmeester, J-W Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345–1349 (1999).
[Crossref]

J-W Pan, D. Bouwmeester, H. Weinfurter, and A. Zeilinger, “Experimental entanglement swapping : Entangling photons that never interacted,” Phys. Rev. Lett. 80, 3891–3894 (1998).
[Crossref]

D. Bouwmeester, J-W Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[Crossref]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995).
[Crossref] [PubMed]

Zou, X. Y.

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett 67, 318–321 (1991).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

Zysset, B.

J. Opt. B: Quantum Semiclass. Opt. (1)

R. Andrews, E. R. Pike, and S. Sarkar, “Photon correlations and interference intype-I optical parametric down-conversion,” J. Opt. B: Quantum Semiclass. Opt. 1, 588–597 (1999).
[Crossref]

J. Opt. Soc. Am. B (1)

Nature (1)

D. Bouwmeester, J-W Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[Crossref]

Phys. Rev. A (7)

L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

C. K. Hong and L. Mandel, “Theory of parametric frequency down-conversion of light,” Phys. Rev. A 31, 2409–2418 (1985).
[Crossref] [PubMed]

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).
[Crossref] [PubMed]

Y. J. Lu and Z. Y. Ou, “Optical parametric oscillator far below threshold: Experiment vs theory,” Phys. Rev. A 62, 033804–033804–11 (2000).
[Crossref]

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).
[Crossref]

J. G. Rarity and P. R. Tapster, “Two-color photons and nonlocality in fourth-order interference,” Phys. Rev. A 41, 5139–5146 (1990).
[Crossref] [PubMed]

Phys. Rev. Lett (1)

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett 67, 318–321 (1991).
[Crossref] [PubMed]

Phys. Rev. Lett. (9)

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref] [PubMed]

Z. Y. Ou and Y. J. Lu, “Cavity enhanced spontaneous parametric down-conversion for the prolongation of correlation time between conjugate photons,” Phys. Rev. Lett. 83, 2556–2559 (1999).
[Crossref]

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).
[Crossref] [PubMed]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337–4341 (1995).
[Crossref] [PubMed]

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Figures (1)

Figure 1:
Figure 1:

Schematic showing a cavity of length d bounded by an input mirror M1 and an exit mirror M2. The shaded area represents the nonlinear crystal which fills the cavity.

Equations (22)

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A ( 2 ) ( r 1 , r 2 , r 3 , t ) = { ( i h ) 5 t d t 1 t 1 d t 2 t 2 d t 3 t 3 d t 4 t 4 d t 5
× < a 1 , a 2 , s 3 μ a , ( 1 ) ( t 1 ) μ b , ( 2 ) ( t 2 ) μ c , ( 3 ) ( t 3 ) μ d , ( 3 ) ( t 4 ) μ e , ( 3 ) ( t 5 ) g 1 , g 2 , g 3 >
× < 0 , a k 0 λ 0 E a ( r 1 , t 1 ) E b ( r 2 , t 2 ) E c ( r 3 , t 3 ) E d ( r 3 , t 4 ) E e ( r 3 , t 5 ) 0 , α k 0 λ 0 > }
+ ( r 1 r 2 )
E ( r , t ) = i∫ d 3 k j = 1,2 ( ħ kc 16 π 3 ε 0 ) 1 2 ε j ( k ) U k j ( r ) a k j exp ( iωt )
U in , k j ( r ) = t 2 o exp ( i k ( ) · r ) D k t 2 o exp ( i k ( + ) · r + ikd ) D k
D k = 1 + r 2 o exp ( 2 ikd )
k ( ± ) = k ( sin θ cos ϕ , sin θ sin ϕ , ± cos θ )
d 3 k = 0 k 2 dk 0 π 2 sin θdθ 0 2 π d ϕ
U out , k j ( r ) = exp ( i k ( ) · r ) + R k j exp ( i k ( + ) · r )
R k j exp ( ikd ) + r 2 j exp ( ikd ) D k
G cav ( 2 ) ( z 1 , t 1 ; z 2 , t 2 ) = π ε 2 d ( t 2 o 2 t 1 p ) ω k 0 2 ω k 0 2 dx exp ( x ) sin ( dv x 2 2 ) ( dv x 2 2 ) 1 1 + r 2 o exp ( i 2 dvx ) 2
k i = k i * + k i ω k i ω k i = ω k i * ( ω k i ω k i * ) + 1 2 2 k i ω k i 2 ω k i = ω k i * ( ω k i ω k i * ) 2 +
ω k 1 * + ω k 2 * = ω k 0 * ; k 1 * + k 2 * = k 0 *
1 1 + r 2 o exp ( i 2 dvx ) 2 1 ( 1 + r 2 o ) 2 l = N l = N 1 [ n 1 2 ( vdx ) 2 + 1 ]
n 1 = 2 r 2 o 1 + r 2 o
G cav ( 2 ) = ( t 2 o 2 t 1 p ) n 1 ( 1 + r 2 o ) 2 sin [ ( 2 N + 1 2 ) π τ ˜ ] sin [ π τ ˜ 2 ] exp ( τ ˜ n 1 )
A SM = ( t 2 o 2 t 1 p ) n 1 ( 1 + r 2 o ) 2 exp ( τ ˜ n 1 )
[ sin [ ( 2 N + 1 2 ) π τ ˜ ] sin [ π τ ˜ 2 ] ] 2 = ( 2 N + 1 ) + 2 N ( 2 cos ( 2 π τ ˜ ) ) + ( 2 N 1 ) ( 2 cos ( 2 [ 2 π τ ˜ ] ) )
+ + 2 cos ( 2 N [ 2 π τ ˜ ] )
A MM ( 2 ) ~ 2 N + 1 ( t 2 o 2 t 1 p ) n 1 ( 1 + r 2 o ) 2 exp ( τ ˜ n 1 )
γ = ( count rate bandwidth ) cavity ( count rate bandwidth ) no cavity

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