Abstract

We describe a stable type II optical parametric oscillator operated above threshold that provides 9.7±0.5dB (89%) of quantum noise reduction on the intensity difference of the signal and idler modes. We also report the first experimental study, to our knowledge, by homodyne detection of the generated bright two-mode state in the case of frequency-degenerate operation obtained by the introduction of a birefringent plate inside an optical cavity.

© 2005 Optical Society of America

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  1. A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
    [CrossRef] [PubMed]
  2. C. Schwob, P. H.Souto Ribeiro, A. Maître, and C. Fabre, Opt. Lett. 22, 1893 (1997).
    [CrossRef]
  3. J. Gao, F. Cui, C. Xue, C. Xie, and P. Kunchi, Opt. Lett. 23, 870 (1998).
    [CrossRef]
  4. S. Reynaud, C. Fabre, and E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987).
    [CrossRef]
  5. S. L. Braunstein and A. K. Pati, eds., Quantum Information with Continuous Variables (Kluwer Academic, Dordrecht, The Netherlands, 2003).
    [CrossRef]
  6. A. S. Villar, M. Martinelli, and P. Nussenzveig, Opt. Commun. 242, 551 (2004).
    [CrossRef]
  7. Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
    [CrossRef] [PubMed]
  8. Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. C. Peng, Phys. Rev. A 62, 023813 (2000).
    [CrossRef]
  9. J. Laurat, T. Coudreau, G. Keller, N. Treps, and C. Fabre, Phys. Rev. A 70, 042315 (2004).
    [CrossRef]
  10. E. J. Mason and N. C. Wong, Opt. Lett. 23, 1733 (1998).
    [CrossRef]
  11. C. Fabre, E. J. Mason, and N. C. Wong, Opt. Commun. 170, 299 (1999).
    [CrossRef]
  12. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization (Cambridge U. Press, Cambridge, England, 2001).
    [CrossRef]
  13. L. Longchambon, J. Laurat, T. Coudreau, and C. Fabre, Eur. Phys. J. D 30, 287 (2004).
    [CrossRef]
  14. L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000).
    [CrossRef] [PubMed]
  15. D. A. Shaddock, M. B. Gray, and D. E. McClelland, Opt. Lett. 24, 1499 (1999).
    [CrossRef]
  16. N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002).
    [CrossRef]
  17. W. P. Bowen, R. Schnabel, H.-A. Bachor, and P. K. Lam, Phys. Rev. Lett. 88, 093601 (2002).
    [CrossRef]
  18. V. Josse, A. Dantan, L. Vernac, A. Bramati, M. Pinard, and E. Giacobino, Phys. Rev. Lett. 91, 103601 (2003).
    [CrossRef]
  19. J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
    [CrossRef]

2004 (3)

A. S. Villar, M. Martinelli, and P. Nussenzveig, Opt. Commun. 242, 551 (2004).
[CrossRef]

J. Laurat, T. Coudreau, G. Keller, N. Treps, and C. Fabre, Phys. Rev. A 70, 042315 (2004).
[CrossRef]

L. Longchambon, J. Laurat, T. Coudreau, and C. Fabre, Eur. Phys. J. D 30, 287 (2004).
[CrossRef]

2003 (1)

V. Josse, A. Dantan, L. Vernac, A. Bramati, M. Pinard, and E. Giacobino, Phys. Rev. Lett. 91, 103601 (2003).
[CrossRef]

2002 (2)

N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002).
[CrossRef]

W. P. Bowen, R. Schnabel, H.-A. Bachor, and P. K. Lam, Phys. Rev. Lett. 88, 093601 (2002).
[CrossRef]

2000 (2)

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000).
[CrossRef] [PubMed]

Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. C. Peng, Phys. Rev. A 62, 023813 (2000).
[CrossRef]

1999 (3)

C. Fabre, E. J. Mason, and N. C. Wong, Opt. Commun. 170, 299 (1999).
[CrossRef]

D. A. Shaddock, M. B. Gray, and D. E. McClelland, Opt. Lett. 24, 1499 (1999).
[CrossRef]

J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
[CrossRef]

1998 (2)

1997 (1)

1992 (1)

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

1987 (2)

A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
[CrossRef] [PubMed]

S. Reynaud, C. Fabre, and E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987).
[CrossRef]

Bachor, H.-A.

W. P. Bowen, R. Schnabel, H.-A. Bachor, and P. K. Lam, Phys. Rev. Lett. 88, 093601 (2002).
[CrossRef]

Bowen, W. P.

W. P. Bowen, R. Schnabel, H.-A. Bachor, and P. K. Lam, Phys. Rev. Lett. 88, 093601 (2002).
[CrossRef]

Bramati, A.

V. Josse, A. Dantan, L. Vernac, A. Bramati, M. Pinard, and E. Giacobino, Phys. Rev. Lett. 91, 103601 (2003).
[CrossRef]

Camy, G.

A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
[CrossRef] [PubMed]

Cirac, J. I.

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000).
[CrossRef] [PubMed]

Coudreau, T.

L. Longchambon, J. Laurat, T. Coudreau, and C. Fabre, Eur. Phys. J. D 30, 287 (2004).
[CrossRef]

J. Laurat, T. Coudreau, G. Keller, N. Treps, and C. Fabre, Phys. Rev. A 70, 042315 (2004).
[CrossRef]

Cui, F.

Dantan, A.

V. Josse, A. Dantan, L. Vernac, A. Bramati, M. Pinard, and E. Giacobino, Phys. Rev. Lett. 91, 103601 (2003).
[CrossRef]

Duan, L.-M.

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000).
[CrossRef] [PubMed]

Fabre, C.

L. Longchambon, J. Laurat, T. Coudreau, and C. Fabre, Eur. Phys. J. D 30, 287 (2004).
[CrossRef]

J. Laurat, T. Coudreau, G. Keller, N. Treps, and C. Fabre, Phys. Rev. A 70, 042315 (2004).
[CrossRef]

C. Fabre, E. J. Mason, and N. C. Wong, Opt. Commun. 170, 299 (1999).
[CrossRef]

C. Schwob, P. H.Souto Ribeiro, A. Maître, and C. Fabre, Opt. Lett. 22, 1893 (1997).
[CrossRef]

S. Reynaud, C. Fabre, and E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987).
[CrossRef]

A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
[CrossRef] [PubMed]

Gao, J.

Giacobino, E.

V. Josse, A. Dantan, L. Vernac, A. Bramati, M. Pinard, and E. Giacobino, Phys. Rev. Lett. 91, 103601 (2003).
[CrossRef]

S. Reynaud, C. Fabre, and E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987).
[CrossRef]

A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
[CrossRef] [PubMed]

Giedke, G.

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000).
[CrossRef] [PubMed]

Gray, M. B.

Hald, J.

J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
[CrossRef]

Heidmann, A.

A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
[CrossRef] [PubMed]

Horowicz, R. J.

A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
[CrossRef] [PubMed]

Jing, J.

Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. C. Peng, Phys. Rev. A 62, 023813 (2000).
[CrossRef]

Josse, V.

V. Josse, A. Dantan, L. Vernac, A. Bramati, M. Pinard, and E. Giacobino, Phys. Rev. Lett. 91, 103601 (2003).
[CrossRef]

Keller, G.

J. Laurat, T. Coudreau, G. Keller, N. Treps, and C. Fabre, Phys. Rev. A 70, 042315 (2004).
[CrossRef]

Kimble, H. J.

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

Korolkova, N.

N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002).
[CrossRef]

Kunchi, P.

Kurths, J.

A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization (Cambridge U. Press, Cambridge, England, 2001).
[CrossRef]

Lam, P. K.

W. P. Bowen, R. Schnabel, H.-A. Bachor, and P. K. Lam, Phys. Rev. Lett. 88, 093601 (2002).
[CrossRef]

Laurat, J.

J. Laurat, T. Coudreau, G. Keller, N. Treps, and C. Fabre, Phys. Rev. A 70, 042315 (2004).
[CrossRef]

L. Longchambon, J. Laurat, T. Coudreau, and C. Fabre, Eur. Phys. J. D 30, 287 (2004).
[CrossRef]

Leuchs, G.

N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002).
[CrossRef]

Li, X.

Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. C. Peng, Phys. Rev. A 62, 023813 (2000).
[CrossRef]

Longchambon, L.

L. Longchambon, J. Laurat, T. Coudreau, and C. Fabre, Eur. Phys. J. D 30, 287 (2004).
[CrossRef]

Loudon, R.

N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002).
[CrossRef]

Maître, A.

Martinelli, M.

A. S. Villar, M. Martinelli, and P. Nussenzveig, Opt. Commun. 242, 551 (2004).
[CrossRef]

Mason, E. J.

C. Fabre, E. J. Mason, and N. C. Wong, Opt. Commun. 170, 299 (1999).
[CrossRef]

E. J. Mason and N. C. Wong, Opt. Lett. 23, 1733 (1998).
[CrossRef]

McClelland, D. E.

Nussenzveig, P.

A. S. Villar, M. Martinelli, and P. Nussenzveig, Opt. Commun. 242, 551 (2004).
[CrossRef]

Ou, Z. Y.

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

Peng, K. C.

Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. C. Peng, Phys. Rev. A 62, 023813 (2000).
[CrossRef]

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

Pereira, S. F.

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

Pikovsky, A.

A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization (Cambridge U. Press, Cambridge, England, 2001).
[CrossRef]

Pinard, M.

V. Josse, A. Dantan, L. Vernac, A. Bramati, M. Pinard, and E. Giacobino, Phys. Rev. Lett. 91, 103601 (2003).
[CrossRef]

Polzik, E. S.

J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
[CrossRef]

Ralph, T. C.

N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002).
[CrossRef]

Reynaud, S.

A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
[CrossRef] [PubMed]

S. Reynaud, C. Fabre, and E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987).
[CrossRef]

Ribeiro, P. H.Souto

Rosenblum, M.

A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization (Cambridge U. Press, Cambridge, England, 2001).
[CrossRef]

Schnabel, R.

W. P. Bowen, R. Schnabel, H.-A. Bachor, and P. K. Lam, Phys. Rev. Lett. 88, 093601 (2002).
[CrossRef]

Schori, C.

J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
[CrossRef]

Schwob, C.

Shaddock, D. A.

Silberhorn, C.

N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002).
[CrossRef]

Sørensen, J. L.

J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
[CrossRef]

Treps, N.

J. Laurat, T. Coudreau, G. Keller, N. Treps, and C. Fabre, Phys. Rev. A 70, 042315 (2004).
[CrossRef]

Vernac, L.

V. Josse, A. Dantan, L. Vernac, A. Bramati, M. Pinard, and E. Giacobino, Phys. Rev. Lett. 91, 103601 (2003).
[CrossRef]

Villar, A. S.

A. S. Villar, M. Martinelli, and P. Nussenzveig, Opt. Commun. 242, 551 (2004).
[CrossRef]

Wang, H.

Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. C. Peng, Phys. Rev. A 62, 023813 (2000).
[CrossRef]

Wong, N. C.

C. Fabre, E. J. Mason, and N. C. Wong, Opt. Commun. 170, 299 (1999).
[CrossRef]

E. J. Mason and N. C. Wong, Opt. Lett. 23, 1733 (1998).
[CrossRef]

Xie, C.

Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. C. Peng, Phys. Rev. A 62, 023813 (2000).
[CrossRef]

J. Gao, F. Cui, C. Xue, C. Xie, and P. Kunchi, Opt. Lett. 23, 870 (1998).
[CrossRef]

Xue, C.

Zhang, Y.

Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. C. Peng, Phys. Rev. A 62, 023813 (2000).
[CrossRef]

Zoller, P.

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000).
[CrossRef] [PubMed]

Eur. Phys. J. D (1)

L. Longchambon, J. Laurat, T. Coudreau, and C. Fabre, Eur. Phys. J. D 30, 287 (2004).
[CrossRef]

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

Opt. Commun. (2)

A. S. Villar, M. Martinelli, and P. Nussenzveig, Opt. Commun. 242, 551 (2004).
[CrossRef]

C. Fabre, E. J. Mason, and N. C. Wong, Opt. Commun. 170, 299 (1999).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. A (3)

Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, and K. C. Peng, Phys. Rev. A 62, 023813 (2000).
[CrossRef]

J. Laurat, T. Coudreau, G. Keller, N. Treps, and C. Fabre, Phys. Rev. A 70, 042315 (2004).
[CrossRef]

N. Korolkova, G. Leuchs, R. Loudon, T. C. Ralph, and C. Silberhorn, Phys. Rev. A 65, 052306 (2002).
[CrossRef]

Phys. Rev. Lett. (6)

W. P. Bowen, R. Schnabel, H.-A. Bachor, and P. K. Lam, Phys. Rev. Lett. 88, 093601 (2002).
[CrossRef]

V. Josse, A. Dantan, L. Vernac, A. Bramati, M. Pinard, and E. Giacobino, Phys. Rev. Lett. 91, 103601 (2003).
[CrossRef]

J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
[CrossRef]

A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987).
[CrossRef] [PubMed]

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000).
[CrossRef] [PubMed]

Other (2)

S. L. Braunstein and A. K. Pati, eds., Quantum Information with Continuous Variables (Kluwer Academic, Dordrecht, The Netherlands, 2003).
[CrossRef]

A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization (Cambridge U. Press, Cambridge, England, 2001).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Doubled Nd:YAG laser pumps a type II OPO above threshold (a) without or (b) with a λ 4 plate inside the cavity. In (a) the intensity correlations are directly measured by a balanced detection scheme. In (b) the frequency-degenerate operation opens the possibility of implementing a homodyne detection. The infrared output of the laser is used as a local oscillator after filtering.

Fig. 2
Fig. 2

Normalized noise power of the intensity difference of the signal and idler as a function of the frequency after correction of the electronic noise. A reduction of 9.7 ± 0.5 dB is reached around 5 MHz.

Fig. 3
Fig. 3

Noise power of mode A while the phase of the local oscillator is scanned and the noise frequency is between 1.5 and 10 MHz. The bottom trace gives the shot-noise level.

Fig. 4
Fig. 4

Noise power of mode A + while the phase of the local oscillator is scanned and the noise frequency is between 1.5 and 10 MHz. The shot-noise level is given by the bottom trace plus 3 dB.

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