Abstract

We demonstrate that by using pairs of photodetectors endowed with internal gain we are able to quantify the photon-number correlation coefficient between the two components of a pulsed bipartite state in the “mesoscopic” intensity regime (less than 100 mean photons). We compare the performances of hybrid photoemissive detectors to those of multipixel silicon photon counters and demonstrate that the absence of significant noise allows the evaluation of the variance of the distribution of the differences in photon numbers, and hence of the shot-noise level, without any correction.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, J. Opt. B Quantum Semiclass. Opt. 7, S652 (2005).
    [CrossRef]
  2. I. P. Degiovanni, M. Genovese, V. Schettini, M. Bondani, A. Andreoni, and M. G. A. Paris, Phys. Rev. A 79, 063836(2009).
    [CrossRef]
  3. M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
    [CrossRef]
  4. I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” quant-ph/0910.4831v2.
  5. A. Allevi, M. Bondani, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 78, 063801 (2008).
    [CrossRef]
  6. O. Aytür and P. Kumar, Phys. Rev. Lett. 65, 1551 (1990).
    [CrossRef] [PubMed]
  7. O. Haderka, J. Peřina, Jr., M. Hamar, and J. Peřina, Phys. Rev. A 71, 033815 (2005).
    [CrossRef]
  8. O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
    [CrossRef]
  9. G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo Berchera, Phys. Rev. Lett. 102, 213602 (2009).
    [CrossRef] [PubMed]
  10. M. Mičuda, O. Haderka, and M. Ježek, Phys. Rev. A 78, 025804 (2008).
    [CrossRef]
  11. W. Mauerer, M. Avenhaus, W. Helwig, and Ch. Silberhorn, Phys. Rev. A 80, 053815 (2009).
    [CrossRef]
  12. M. J. Stevens, B. Baek, E. A. Dauler, A. J. Kerman, R. J. Molnar, S. A. Hamilton, K. K. Berggren, R. P. Mirin, and S. W. Nam, Opt. Express 18, 1430 (2010).
    [CrossRef] [PubMed]
  13. M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, J. Mod. Opt. 56, 226 (2009).
    [CrossRef]
  14. M. Bondani, A. Allevi, and A. Andreoni, Adv. Sci. Lett. 2, 463 (2009).
    [CrossRef]
  15. M. Bondani, A. Allevi, and A. Andreoni, Opt. Lett. 34, 1444(2009).
    [CrossRef] [PubMed]
  16. I. Afek, A. Natan, O. Ambar, and Y. Silberberg, Phys. Rev. A 79, 043830 (2009).
    [CrossRef]
  17. M. Ramilli, A. Allevi, V. Chmill, M. Bondani, M. Caccia, and A. Andreoni, J. Opt. Soc. Am. B 27, 852 (2010).
    [CrossRef]
  18. F. T. Arecchi, Phys. Rev. Lett. 15, 912 (1965).
    [CrossRef]

2010 (2)

2009 (7)

W. Mauerer, M. Avenhaus, W. Helwig, and Ch. Silberhorn, Phys. Rev. A 80, 053815 (2009).
[CrossRef]

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, J. Mod. Opt. 56, 226 (2009).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, Adv. Sci. Lett. 2, 463 (2009).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, Opt. Lett. 34, 1444(2009).
[CrossRef] [PubMed]

I. Afek, A. Natan, O. Ambar, and Y. Silberberg, Phys. Rev. A 79, 043830 (2009).
[CrossRef]

I. P. Degiovanni, M. Genovese, V. Schettini, M. Bondani, A. Andreoni, and M. G. A. Paris, Phys. Rev. A 79, 063836(2009).
[CrossRef]

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo Berchera, Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef] [PubMed]

2008 (2)

M. Mičuda, O. Haderka, and M. Ježek, Phys. Rev. A 78, 025804 (2008).
[CrossRef]

A. Allevi, M. Bondani, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 78, 063801 (2008).
[CrossRef]

2007 (1)

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

2005 (2)

O. Haderka, J. Peřina, Jr., M. Hamar, and J. Peřina, Phys. Rev. A 71, 033815 (2005).
[CrossRef]

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, J. Opt. B Quantum Semiclass. Opt. 7, S652 (2005).
[CrossRef]

2004 (1)

O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
[CrossRef]

1990 (1)

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

1965 (1)

F. T. Arecchi, Phys. Rev. Lett. 15, 912 (1965).
[CrossRef]

Afek, I.

I. Afek, A. Natan, O. Ambar, and Y. Silberberg, Phys. Rev. A 79, 043830 (2009).
[CrossRef]

Agafonov, I. N.

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” quant-ph/0910.4831v2.

Agliati, A.

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, J. Mod. Opt. 56, 226 (2009).
[CrossRef]

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, J. Opt. B Quantum Semiclass. Opt. 7, S652 (2005).
[CrossRef]

Allevi, A.

M. Ramilli, A. Allevi, V. Chmill, M. Bondani, M. Caccia, and A. Andreoni, J. Opt. Soc. Am. B 27, 852 (2010).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, Adv. Sci. Lett. 2, 463 (2009).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, Opt. Lett. 34, 1444(2009).
[CrossRef] [PubMed]

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, J. Mod. Opt. 56, 226 (2009).
[CrossRef]

A. Allevi, M. Bondani, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 78, 063801 (2008).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

Ambar, O.

I. Afek, A. Natan, O. Ambar, and Y. Silberberg, Phys. Rev. A 79, 043830 (2009).
[CrossRef]

Andreoni, A.

M. Ramilli, A. Allevi, V. Chmill, M. Bondani, M. Caccia, and A. Andreoni, J. Opt. Soc. Am. B 27, 852 (2010).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, Opt. Lett. 34, 1444(2009).
[CrossRef] [PubMed]

M. Bondani, A. Allevi, and A. Andreoni, Adv. Sci. Lett. 2, 463 (2009).
[CrossRef]

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, J. Mod. Opt. 56, 226 (2009).
[CrossRef]

I. P. Degiovanni, M. Genovese, V. Schettini, M. Bondani, A. Andreoni, and M. G. A. Paris, Phys. Rev. A 79, 063836(2009).
[CrossRef]

A. Allevi, M. Bondani, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 78, 063801 (2008).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, J. Opt. B Quantum Semiclass. Opt. 7, S652 (2005).
[CrossRef]

Arecchi, F. T.

F. T. Arecchi, Phys. Rev. Lett. 15, 912 (1965).
[CrossRef]

Avenhaus, M.

W. Mauerer, M. Avenhaus, W. Helwig, and Ch. Silberhorn, Phys. Rev. A 80, 053815 (2009).
[CrossRef]

Aytür, O.

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

Bache, M.

O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
[CrossRef]

Baek, B.

Berchera, I. Ruo

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo Berchera, Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef] [PubMed]

Berggren, K. K.

Bondani, M.

M. Ramilli, A. Allevi, V. Chmill, M. Bondani, M. Caccia, and A. Andreoni, J. Opt. Soc. Am. B 27, 852 (2010).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, Opt. Lett. 34, 1444(2009).
[CrossRef] [PubMed]

M. Bondani, A. Allevi, and A. Andreoni, Adv. Sci. Lett. 2, 463 (2009).
[CrossRef]

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, J. Mod. Opt. 56, 226 (2009).
[CrossRef]

I. P. Degiovanni, M. Genovese, V. Schettini, M. Bondani, A. Andreoni, and M. G. A. Paris, Phys. Rev. A 79, 063836(2009).
[CrossRef]

A. Allevi, M. Bondani, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 78, 063801 (2008).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, J. Opt. B Quantum Semiclass. Opt. 7, S652 (2005).
[CrossRef]

Brambilla, E.

O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
[CrossRef]

Brida, G.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo Berchera, Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef] [PubMed]

Caccia, M.

Caspani, L.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo Berchera, Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef] [PubMed]

Chekhova, M. V.

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” quant-ph/0910.4831v2.

Chmill, V.

Dauler, E. A.

De Cillis, G.

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, J. Opt. B Quantum Semiclass. Opt. 7, S652 (2005).
[CrossRef]

Degiovanni, I. P.

I. P. Degiovanni, M. Genovese, V. Schettini, M. Bondani, A. Andreoni, and M. G. A. Paris, Phys. Rev. A 79, 063836(2009).
[CrossRef]

Di Trapani, P.

O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
[CrossRef]

Gatti, A.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo Berchera, Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef] [PubMed]

O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
[CrossRef]

Genovese, M.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo Berchera, Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef] [PubMed]

I. P. Degiovanni, M. Genovese, V. Schettini, M. Bondani, A. Andreoni, and M. G. A. Paris, Phys. Rev. A 79, 063836(2009).
[CrossRef]

Haderka, O.

M. Mičuda, O. Haderka, and M. Ježek, Phys. Rev. A 78, 025804 (2008).
[CrossRef]

O. Haderka, J. Peřina, Jr., M. Hamar, and J. Peřina, Phys. Rev. A 71, 033815 (2005).
[CrossRef]

Hamar, M.

O. Haderka, J. Peřina, Jr., M. Hamar, and J. Peřina, Phys. Rev. A 71, 033815 (2005).
[CrossRef]

Hamilton, S. A.

Helwig, W.

W. Mauerer, M. Avenhaus, W. Helwig, and Ch. Silberhorn, Phys. Rev. A 80, 053815 (2009).
[CrossRef]

Jedrkiewicz, O.

O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
[CrossRef]

Ježek, M.

M. Mičuda, O. Haderka, and M. Ježek, Phys. Rev. A 78, 025804 (2008).
[CrossRef]

Jiang, Y. K.

O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
[CrossRef]

Kerman, A. J.

Kumar, P.

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

Leuchs, G.

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” quant-ph/0910.4831v2.

Lugiato, L. A.

O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
[CrossRef]

Mauerer, W.

W. Mauerer, M. Avenhaus, W. Helwig, and Ch. Silberhorn, Phys. Rev. A 80, 053815 (2009).
[CrossRef]

Meda, A.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo Berchera, Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef] [PubMed]

Micuda, M.

M. Mičuda, O. Haderka, and M. Ježek, Phys. Rev. A 78, 025804 (2008).
[CrossRef]

Mirin, R. P.

Molnar, R. J.

Nam, S. W.

Natan, A.

I. Afek, A. Natan, O. Ambar, and Y. Silberberg, Phys. Rev. A 79, 043830 (2009).
[CrossRef]

Paris, M. G. A.

I. P. Degiovanni, M. Genovese, V. Schettini, M. Bondani, A. Andreoni, and M. G. A. Paris, Phys. Rev. A 79, 063836(2009).
[CrossRef]

A. Allevi, M. Bondani, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 78, 063801 (2008).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, J. Opt. B Quantum Semiclass. Opt. 7, S652 (2005).
[CrossRef]

Perina, J.

O. Haderka, J. Peřina, Jr., M. Hamar, and J. Peřina, Phys. Rev. A 71, 033815 (2005).
[CrossRef]

O. Haderka, J. Peřina, Jr., M. Hamar, and J. Peřina, Phys. Rev. A 71, 033815 (2005).
[CrossRef]

Ramilli, M.

Schettini, V.

I. P. Degiovanni, M. Genovese, V. Schettini, M. Bondani, A. Andreoni, and M. G. A. Paris, Phys. Rev. A 79, 063836(2009).
[CrossRef]

Silberberg, Y.

I. Afek, A. Natan, O. Ambar, and Y. Silberberg, Phys. Rev. A 79, 043830 (2009).
[CrossRef]

Silberhorn, Ch.

W. Mauerer, M. Avenhaus, W. Helwig, and Ch. Silberhorn, Phys. Rev. A 80, 053815 (2009).
[CrossRef]

Stevens, M. J.

Zambra, G.

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

Adv. Sci. Lett. (1)

M. Bondani, A. Allevi, and A. Andreoni, Adv. Sci. Lett. 2, 463 (2009).
[CrossRef]

J. Mod. Opt. (1)

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, J. Mod. Opt. 56, 226 (2009).
[CrossRef]

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

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, J. Opt. B Quantum Semiclass. Opt. 7, S652 (2005).
[CrossRef]

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

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. A (7)

I. Afek, A. Natan, O. Ambar, and Y. Silberberg, Phys. Rev. A 79, 043830 (2009).
[CrossRef]

M. Mičuda, O. Haderka, and M. Ježek, Phys. Rev. A 78, 025804 (2008).
[CrossRef]

W. Mauerer, M. Avenhaus, W. Helwig, and Ch. Silberhorn, Phys. Rev. A 80, 053815 (2009).
[CrossRef]

I. P. Degiovanni, M. Genovese, V. Schettini, M. Bondani, A. Andreoni, and M. G. A. Paris, Phys. Rev. A 79, 063836(2009).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

A. Allevi, M. Bondani, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 78, 063801 (2008).
[CrossRef]

O. Haderka, J. Peřina, Jr., M. Hamar, and J. Peřina, Phys. Rev. A 71, 033815 (2005).
[CrossRef]

Phys. Rev. Lett. (4)

O. Jedrkiewicz, Y. K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, and P. Di Trapani, Phys. Rev. Lett. 93, 243601(2004).
[CrossRef]

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo Berchera, Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef] [PubMed]

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

F. T. Arecchi, Phys. Rev. Lett. 15, 912 (1965).
[CrossRef]

Other (1)

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” quant-ph/0910.4831v2.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Scheme of the experimental setup: P, rotating diffuser plate; PH, pinhole; F, variable neutral-density filter; HWP, half-wave plate; PBS, polarizing beam splitter; L, lenses; MF, multimode optical fibers; D c and D d , photo detectors.

Fig. 2
Fig. 2

Pulse height spectra at the outputs of the beam splitter as measured by HPD and SiPM photodetectors at similar intensities.

Fig. 3
Fig. 3

Experimental joint probability distribution.

Fig. 4
Fig. 4

Shot-by-shot correlation, Γ, as a function of the mean value of output detected light (dots) together with the theoretical curves (solid). The dashed curve in the right-hand panel is the theoretical prediction corrected for dark counts ( m ¯ d c , c = 0.071 , m ¯ d c , d = 0.034 ) and cross talk ( ϵ c = 0.10 , ϵ d = 0.08 ).

Fig. 5
Fig. 5

Experimental results for p ( δ ) (filled circles) and theoretical predictions (solid curves). The fidelities of the data are f = 0.9999 , 0.9997, 0.9994, and 0.9991 for HPDs and f = 0.9997 , 0.9994, 0.9993, and 0.9991 for SiPM. Insets: measured variance σ 2 ( δ ) of p ( δ ) as a function of the total number of detected photons (dots) and theoretical predictions (solid line).

Equations (3)

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

c ^ = τ a ^ 1 τ b ^ , d ^ = 1 τ a ^ + τ b ^ ,
Γ ( n c n ^ c ) ( n d n ^ d ) σ n c 2 σ n d 2 = τ ( 1 τ ) [ σ n a 2 n ^ a ] [ τ σ n a 2 + ( 1 τ ) n ^ a ] [ ( 1 τ ) σ n a 2 + τ n ^ a ] .
Γ = τ ( 1 τ ) n ¯ 2 ( τ n ¯ + 1 ) [ ( 1 τ ) n ¯ + 1 ] = n ¯ c n ¯ d ( n ¯ c + 1 ) ( n ¯ d + 1 ) ,

Metrics