Abstract

In this Letter, we experimentally study the statistical properties of a bright squeezed vacuum state containing up to 1013 photons per mode (10 μJ per pulse), produced via high-gain parametric down conversion (PDC). The effects of bunching and superbunching of photons were observed for a single-mode PDC radiation by second-order intensity correlation function measurements with analog detectors.

© 2012 Optical Society of America

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  1. A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Phys. Rev. Lett. 87, 050402-1 (2001).
    [CrossRef]
  2. A. V. Burlakov, S. P. Kulik, G. O. Rytikov, and M. V. Chekhova, JETP 95, 639 (2002).
    [CrossRef]
  3. H. Mikami, Y. Li, and T. Kobayashi, Phys. Rev. A 70, 052308-1 (2004).
    [CrossRef]
  4. Ling-An Wu, H. J. Kimble, J. L. Hall, and Huifa Wu, Phys. Rev. Lett. 57, 2520 (1986).
    [CrossRef]
  5. O. Aytur and P. Kumar, Phys. Rev. Lett. 65, 1551 (1990).
    [CrossRef]
  6. B. R. Mollow and R. J. Glauber, Phys. Rev. 160, 1076 (1967).
    [CrossRef]
  7. P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
    [CrossRef]
  8. H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).
  9. A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, Phys. Rev. Lett. 106, 013603-1 (2011).
    [CrossRef]
  10. F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, Opt. Express 12, 2816 (2004).
    [CrossRef]
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    [CrossRef]
  12. D. N. Klyshko, Photons and Nonlinear Optics (Gordon and Breach, 1988).
  13. Jan Perina, Quantum Statistics of Linear and Nonlinear Optical Phenomena (Reidel, 1984).
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    [CrossRef]
  15. R. Loudon and P. L. Knight, J. Mod. Opt. 34, 709 (1987).
    [CrossRef]
  16. F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Nat. Commun. 2, 425 (2011).
    [CrossRef]
  17. T. Sh. Iskhakov, M. V. Chekhova, and G. Leuchs, Phys. Rev. Lett. 102, 183602-1 (2009).
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    [CrossRef]

2011

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, Phys. Rev. Lett. 106, 013603-1 (2011).
[CrossRef]

F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Nat. Commun. 2, 425 (2011).
[CrossRef]

2009

T. Sh. Iskhakov, M. V. Chekhova, and G. Leuchs, Phys. Rev. Lett. 102, 183602-1 (2009).

B. Blauensteiner, I. Herbauts, S. Bettelli, A. Poppe, and H. Hubel, Phys. Rev. A 79, 063846-1 (2009).
[CrossRef]

2007

2004

F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, Opt. Express 12, 2816 (2004).
[CrossRef]

H. Mikami, Y. Li, and T. Kobayashi, Phys. Rev. A 70, 052308-1 (2004).
[CrossRef]

H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).

2002

A. V. Burlakov, S. P. Kulik, G. O. Rytikov, and M. V. Chekhova, JETP 95, 639 (2002).
[CrossRef]

2001

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Phys. Rev. Lett. 87, 050402-1 (2001).
[CrossRef]

1998

P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
[CrossRef]

1990

O. Aytur and P. Kumar, Phys. Rev. Lett. 65, 1551 (1990).
[CrossRef]

1987

J. Janszky and Y. Yushin, Phys. Rev. A 36, 1288 (1987).
[CrossRef]

R. Loudon and P. L. Knight, J. Mod. Opt. 34, 709 (1987).
[CrossRef]

1986

Ling-An Wu, H. J. Kimble, J. L. Hall, and Huifa Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef]

1967

B. R. Mollow and R. J. Glauber, Phys. Rev. 160, 1076 (1967).
[CrossRef]

Acin, A.

H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).

Agarwal, G. S.

Aichele, T.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Phys. Rev. Lett. 87, 050402-1 (2001).
[CrossRef]

Andreoni, A.

Aytur, O.

O. Aytur and P. Kumar, Phys. Rev. Lett. 65, 1551 (1990).
[CrossRef]

Benson, O.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Phys. Rev. Lett. 87, 050402-1 (2001).
[CrossRef]

Bettelli, S.

B. Blauensteiner, I. Herbauts, S. Bettelli, A. Poppe, and H. Hubel, Phys. Rev. A 79, 063846-1 (2009).
[CrossRef]

Blauensteiner, B.

B. Blauensteiner, I. Herbauts, S. Bettelli, A. Poppe, and H. Hubel, Phys. Rev. A 79, 063846-1 (2009).
[CrossRef]

Boitier, F.

F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Nat. Commun. 2, 425 (2011).
[CrossRef]

Bondani, M.

Boyd, R. W.

Burlakov, A. V.

A. V. Burlakov, S. P. Kulik, G. O. Rytikov, and M. V. Chekhova, JETP 95, 639 (2002).
[CrossRef]

Cable, H.

Chan, K. W.

Chekhova, M. V.

T. Sh. Iskhakov, M. V. Chekhova, and G. Leuchs, Phys. Rev. Lett. 102, 183602-1 (2009).

A. V. Burlakov, S. P. Kulik, G. O. Rytikov, and M. V. Chekhova, JETP 95, 639 (2002).
[CrossRef]

Christ, A.

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, Phys. Rev. Lett. 106, 013603-1 (2011).
[CrossRef]

De Riedmatten, H.

H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).

Delaye, P.

F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Nat. Commun. 2, 425 (2011).
[CrossRef]

Dowling, J. P.

Dubreuil, N.

F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Nat. Commun. 2, 425 (2011).
[CrossRef]

Eckstein, A.

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, Phys. Rev. Lett. 106, 013603-1 (2011).
[CrossRef]

Fabre, C.

F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Nat. Commun. 2, 425 (2011).
[CrossRef]

Gisin, N.

H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).

Glauber, R. J.

B. R. Mollow and R. J. Glauber, Phys. Rev. 160, 1076 (1967).
[CrossRef]

Godard, A.

F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Nat. Commun. 2, 425 (2011).
[CrossRef]

Hall, J. L.

Ling-An Wu, H. J. Kimble, J. L. Hall, and Huifa Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef]

Hansen, H.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Phys. Rev. Lett. 87, 050402-1 (2001).
[CrossRef]

Herbauts, I.

B. Blauensteiner, I. Herbauts, S. Bettelli, A. Poppe, and H. Hubel, Phys. Rev. A 79, 063846-1 (2009).
[CrossRef]

Hubel, H.

B. Blauensteiner, I. Herbauts, S. Bettelli, A. Poppe, and H. Hubel, Phys. Rev. A 79, 063846-1 (2009).
[CrossRef]

Janszky, J.

J. Janszky and Y. Yushin, Phys. Rev. A 36, 1288 (1987).
[CrossRef]

Kimble, H. J.

Ling-An Wu, H. J. Kimble, J. L. Hall, and Huifa Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef]

Klyshko, D. N.

D. N. Klyshko, Photons and Nonlinear Optics (Gordon and Breach, 1988).

Knight, P. L.

R. Loudon and P. L. Knight, J. Mod. Opt. 34, 709 (1987).
[CrossRef]

Kobayashi, T.

H. Mikami, Y. Li, and T. Kobayashi, Phys. Rev. A 70, 052308-1 (2004).
[CrossRef]

Kulik, S. P.

A. V. Burlakov, S. P. Kulik, G. O. Rytikov, and M. V. Chekhova, JETP 95, 639 (2002).
[CrossRef]

Kumar, P.

O. Aytur and P. Kumar, Phys. Rev. Lett. 65, 1551 (1990).
[CrossRef]

Leuchs, G.

T. Sh. Iskhakov, M. V. Chekhova, and G. Leuchs, Phys. Rev. Lett. 102, 183602-1 (2009).

Li, Y.

H. Mikami, Y. Li, and T. Kobayashi, Phys. Rev. A 70, 052308-1 (2004).
[CrossRef]

Loudon, R.

R. Loudon and P. L. Knight, J. Mod. Opt. 34, 709 (1987).
[CrossRef]

Lvovsky, A. I.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Phys. Rev. Lett. 87, 050402-1 (2001).
[CrossRef]

Marcikic, I.

H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).

Mikami, H.

H. Mikami, Y. Li, and T. Kobayashi, Phys. Rev. A 70, 052308-1 (2004).
[CrossRef]

Mlynek, J.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Phys. Rev. Lett. 87, 050402-1 (2001).
[CrossRef]

Mollow, B. R.

B. R. Mollow and R. J. Glauber, Phys. Rev. 160, 1076 (1967).
[CrossRef]

Mosley, P. J.

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, Phys. Rev. Lett. 106, 013603-1 (2011).
[CrossRef]

Paleari, F.

Perina, Jan

Jan Perina, Quantum Statistics of Linear and Nonlinear Optical Phenomena (Reidel, 1984).

Poppe, A.

B. Blauensteiner, I. Herbauts, S. Bettelli, A. Poppe, and H. Hubel, Phys. Rev. A 79, 063846-1 (2009).
[CrossRef]

Rarity, J. G.

P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
[CrossRef]

Rosencher, E.

F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Nat. Commun. 2, 425 (2011).
[CrossRef]

Rytikov, G. O.

A. V. Burlakov, S. P. Kulik, G. O. Rytikov, and M. V. Chekhova, JETP 95, 639 (2002).
[CrossRef]

Scarani, V.

H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).

Schiller, S.

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Phys. Rev. Lett. 87, 050402-1 (2001).
[CrossRef]

Sh. Iskhakov, T.

T. Sh. Iskhakov, M. V. Chekhova, and G. Leuchs, Phys. Rev. Lett. 102, 183602-1 (2009).

Silberhorn, C.

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, Phys. Rev. Lett. 106, 013603-1 (2011).
[CrossRef]

Tapster, P. R.

P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
[CrossRef]

Tittel, W.

H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).

Wu, Huifa

Ling-An Wu, H. J. Kimble, J. L. Hall, and Huifa Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef]

Wu, Ling-An

Ling-An Wu, H. J. Kimble, J. L. Hall, and Huifa Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef]

Yushin, Y.

J. Janszky and Y. Yushin, Phys. Rev. A 36, 1288 (1987).
[CrossRef]

Zambra, G.

Zbinden, H.

H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).

J. Mod. Opt.

P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
[CrossRef]

H. De Riedmatten, V. Scarani, I. Marcikic, A. Acin, W. Tittel, H. Zbinden, and N. Gisin, J. Mod. Opt. 51, 1637 (2004).

R. Loudon and P. L. Knight, J. Mod. Opt. 34, 709 (1987).
[CrossRef]

J. Opt. Soc. Am. B

JETP

A. V. Burlakov, S. P. Kulik, G. O. Rytikov, and M. V. Chekhova, JETP 95, 639 (2002).
[CrossRef]

Nat. Commun.

F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Nat. Commun. 2, 425 (2011).
[CrossRef]

Opt. Express

Phys. Rev.

B. R. Mollow and R. J. Glauber, Phys. Rev. 160, 1076 (1967).
[CrossRef]

Phys. Rev. A

H. Mikami, Y. Li, and T. Kobayashi, Phys. Rev. A 70, 052308-1 (2004).
[CrossRef]

J. Janszky and Y. Yushin, Phys. Rev. A 36, 1288 (1987).
[CrossRef]

B. Blauensteiner, I. Herbauts, S. Bettelli, A. Poppe, and H. Hubel, Phys. Rev. A 79, 063846-1 (2009).
[CrossRef]

Phys. Rev. Lett.

T. Sh. Iskhakov, M. V. Chekhova, and G. Leuchs, Phys. Rev. Lett. 102, 183602-1 (2009).

Ling-An Wu, H. J. Kimble, J. L. Hall, and Huifa Wu, Phys. Rev. Lett. 57, 2520 (1986).
[CrossRef]

O. Aytur and P. Kumar, Phys. Rev. Lett. 65, 1551 (1990).
[CrossRef]

A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek, and S. Schiller, Phys. Rev. Lett. 87, 050402-1 (2001).
[CrossRef]

A. Eckstein, A. Christ, P. J. Mosley, and C. Silberhorn, Phys. Rev. Lett. 106, 013603-1 (2011).
[CrossRef]

Other

D. N. Klyshko, Photons and Nonlinear Optics (Gordon and Breach, 1988).

Jan Perina, Quantum Statistics of Linear and Nonlinear Optical Phenomena (Reidel, 1984).

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Figures (3)

Fig. 1.
Fig. 1.

The experimental setup. Bottom left: dependence of the PDC signal on the pump power.

Fig. 2.
Fig. 2.

The second-order ICF measured versus the angle (a) and the wavelength (b).

Fig. 3.
Fig. 3.

Signal probability distribution for thermal (red triangles) and superthermal (blue circles) statistics. The curves are the theoretical fits. Inset: probability distribution for the electronic noise.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Vcohc·τcoh·ρcoh2,
Vdetc·τdet·ρdet2Vcoh,
g(2)=3+1N,
gmeas(2)=1+g(2)1m.

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