Abstract

We use hybrid photodetectors endowed with partial photon-number resolution to characterize the photon-number distribution of twin-beam states produced at different intensity regimes up to pump depletion. To match the detectors’ dynamics, the light of signal and idler is strongly attenuated by neutral-density filters. Since the filters do not modify the nature of any classical-light statistics, we find that signal and idler are described by a multimode thermal distribution at any pump power. The number of modes decreases at increasing pump power until pump depletion, when the number starts increasing again. The effect is qualitatively interpreted as a selective mode amplification induced by the high-gain parametric process.

© 2014 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  36. A. Andreoni and M. Bondani, “Photon statistics in the macroscopic realm measured without photon counters,” Phys. Rev. A 80, 013819 (2009).
    [CrossRef]
  37. M. Bondani, A. Allevi, and A. Andreoni, “Light statistics by non-calibrated linear photodetectors,” Adv. Sci. Lett. 2, 463–468 (2009).
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    [CrossRef]
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    [CrossRef]
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2014 (4)

2013 (3)

T. J. Bartley, G. Donati, X.-M. Jin, A. Datta, M. Barbieri, and I. A. Walmsley, “Direct observation of sub-binomial light,” Phys. Rev. Lett. 110, 173602 (2013).
[CrossRef]

L. Dovrat, M. Bakstein, D. Istrati, E. Megidish, A. Halevy, L. Cohen, and H. S. Eisenberg, “Direct observation of the degree of correlations using photon-number-resolving detectors,” Phys. Rev. A 87, 053813 (2013).
[CrossRef]

A. Allevi, M. Lamperti, M. Bondani, J. Peřina, V. Michálek, O. Haderka, and R. Machulka, “Characterizing the nonclassicality of mesoscopic optical twin-beam states,” Phys. Rev. A 88, 063807 (2013).
[CrossRef]

2012 (6)

A. Allevi, S. Olivares, and M. Bondani, “Measuring high-order photon-number correlations in experiments with multimode pulsed quantum states,” Phys. Rev. A 85, 063835 (2012).
[CrossRef]

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

J. Peřina, M. Hamar, V. Michálek, and O. Haderka, “Photon-number distributions of twin beams generated in spontaneous parametric down-conversion and measured by an intensified CCD camera,” Phys. Rev. A 85, 023816 (2012).
[CrossRef]

L. Dovrat, M. Bakstein, D. Istrati, A. Shaham, and H. S. Eisenberg, “Measurements of the dependence of the photon-number distribution on the number of modes in parametric down-conversion,” Opt. Express 20, 2266–2276 (2012).
[CrossRef]

D. A. Kalashnikov, S.-H. Tan, T. Sh. Iskhakov, M. V. Chekhova, and L. A. Krivitsky, “Measurement of two-mode squeezing with photon number resolving multipixel detectors,” Opt. Lett. 37, 2829–2831 (2012).
[CrossRef]

2011 (5)

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, “Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities,” Nat. Phys. 7, 677–680 (2011).
[CrossRef]

D. S. Tasca, R. M. Gomes, F. Toscano, P. H. Souto Ribeiro, and S. P. Walborn, “Continuous-variable quantum computation with spatial degrees of freedom of photons,” Phys. Rev. A 83, 052325 (2011).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, “Choosing a photoemissive detector suitable for photon-number statistics of pulsed fields,” Int. J. Quantum. Inform. 9, 93–101 (2011).

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, “Probing multimode squeezing with correlation functions,” New J. Phys. 13, 033027 (2011).

D. A. Kalashnikov, S.-H. Tan, M. V. Chekhova, and L. A. Krivitsky, “Accessing photon bunching with a photon number resolving multi-pixel detector,” Opt. Express 19, 9352–9363 (2011).
[CrossRef]

2010 (4)

A. Allevi, M. Bondani, and A. Andreoni, “Photon-number correlations by photon-number resolving detectors,” Opt. Lett. 35, 1707–1709 (2010).
[CrossRef]

M. Avenhaus, K. Laiho, M. V. Chekhova, and C. Silberhorn, “Accessing higher order correlations in quantum optical states by time multiplexing,” Phys. Rev. Lett. 104, 063602 (2010).
[CrossRef]

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” Phys. Rev. A 82, 011801(R) (2010).
[CrossRef]

A. Allevi, A. Andreoni, F. A. Beduini, M. Bondani, M. G. Genoni, S. Olivares, and M. G. A. Paris, “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion,” Europhys. Lett. 92, 20007 (2010).
[CrossRef]

2009 (6)

W. Mauerer, M. Avenhaus, W. Helwig, and C. Silberhorn, “How colors influence numbers: photon statistics of parametric down-conversion,” Phys. Rev. A 80, 053815 (2009).
[CrossRef]

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo-Berchera, “Measurement of sub-shot-noise spatial correlations without background subtraction,” Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef]

T. Iskhakov, M. V. Chekhova, and G. Leuchs, “Generation and direct detection of broadband mesoscopic polarization-squeezed vacuum,” Phys. Rev. Lett. 102, 183602 (2009).
[CrossRef]

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, “Self-consistent characterization of light statistics,” J. Mod. Opt. 56, 226–231 (2009).
[CrossRef]

A. Andreoni and M. Bondani, “Photon statistics in the macroscopic realm measured without photon counters,” Phys. Rev. A 80, 013819 (2009).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, “Light statistics by non-calibrated linear photodetectors,” Adv. Sci. Lett. 2, 463–468 (2009).

2008 (2)

M. Avenhaus, H. B. Coldenstrodt-Ronge, K. Laiho, W. Mauerer, I. A. Walmsley, and C. Silberhorn, “Photon number statistics of multimode parametric down-conversion,” Phys. Rev. Lett. 101, 053601 (2008).
[CrossRef]

W. Wasilewski, C. Radzewicz, R. Frankowski, and K. Banaszek, “Statistics of multiphoton events in spontaneous parametric down-conversion,” Phys. Rev. A 78, 033831 (2008).
[CrossRef]

2007 (1)

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, “Sub-shot-noise photon-number correlation in a mesoscopic twin beam of light,” Phys. Rev. A 76, 013833 (2007).
[CrossRef]

2006 (2)

E. Waks, B. C. Sanders, E. Diamanti, and Y. Yamamoto, “Highly nonclassical photon statistics in parametric down-conversion,” Phys. Rev. A 73, 033814 (2006).
[CrossRef]

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, “Pulsed squeezed light: simultaneous squeezing of multiple modes,” Phys. Rev. A 73, 063819 (2006).
[CrossRef]

2005 (2)

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, “Quantum and classical correlations of intense beams of light investigated via joint photodetection,” J. Opt. B 7, S652–S663 (2005).

N. Kiesel, C. Schmid, U. Weber, G. To’th, O. Göhne, R. Ursin, and H. Weinfurter, “Experimental analysis of a four-qubit photon cluster state,” Phys. Rev. Lett. 95, 201502 (2005).

2004 (3)

F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, “Thermal photon statistics in spontaneous parametric downconversion,” Opt. Express 12, 2816–2824 (2004).
[CrossRef]

O. Jedrkiewicz, Y.-K. Yang, E. Brambilla, A. Gatti, M. Bache, L. Lugiato, and P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontaneous parametric down conversion,” Phys. Rev. Lett. 92, 210403 (2004).
[CrossRef]

1999 (1)

M. Murao, D. Jonathan, M. B. Plenio, and V. Vedral, “Quantum telecloning and multiparticle entanglement,” Phys. Rev. A 59, 156–161 (1999).
[CrossRef]

1994 (1)

A. Joobeur, B. E. A. Saleh, and M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994).
[CrossRef]

1967 (1)

B. R. Mollow and R. J. Glauber, “Quantum theory of parametric amplification. Part 2,” Phys. Rev. 160, 1097–1108 (1967).
[CrossRef]

Agafonov, I. N.

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” Phys. Rev. A 82, 011801(R) (2010).
[CrossRef]

Agliati, A.

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, “Self-consistent characterization of light statistics,” J. Mod. Opt. 56, 226–231 (2009).
[CrossRef]

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, “Quantum and classical correlations of intense beams of light investigated via joint photodetection,” J. Opt. B 7, S652–S663 (2005).

Agnew, M.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

Allevi, A.

R. Machulka, O. Haderka, J. Peřina, M. Lamperti, A. Allevi, and M. Bondani, “Spatial properties of twin-beam correlations at low- to high-intensity transition,” Opt. Express 22, 13374–13379 (2014).
[CrossRef]

M. Lamperti, A. Allevi, M. Bondani, R. Machulka, V. Michálek, O. Haderka, and J. Peřina, “Optimal sub-Poissonian light generation from twin beams by photon-number resolving detectors,” J. Opt. Soc. Am. B 31, 20–25 (2014).
[CrossRef]

A. Allevi, M. Lamperti, M. Bondani, J. Peřina, V. Michálek, O. Haderka, and R. Machulka, “Characterizing the nonclassicality of mesoscopic optical twin-beam states,” Phys. Rev. A 88, 063807 (2013).
[CrossRef]

A. Allevi, S. Olivares, and M. Bondani, “Measuring high-order photon-number correlations in experiments with multimode pulsed quantum states,” Phys. Rev. A 85, 063835 (2012).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, “Choosing a photoemissive detector suitable for photon-number statistics of pulsed fields,” Int. J. Quantum. Inform. 9, 93–101 (2011).

A. Allevi, M. Bondani, and A. Andreoni, “Photon-number correlations by photon-number resolving detectors,” Opt. Lett. 35, 1707–1709 (2010).
[CrossRef]

A. Allevi, A. Andreoni, F. A. Beduini, M. Bondani, M. G. Genoni, S. Olivares, and M. G. A. Paris, “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion,” Europhys. Lett. 92, 20007 (2010).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, “Light statistics by non-calibrated linear photodetectors,” Adv. Sci. Lett. 2, 463–468 (2009).

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, “Self-consistent characterization of light statistics,” J. Mod. Opt. 56, 226–231 (2009).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, “Sub-shot-noise photon-number correlation in a mesoscopic twin beam of light,” Phys. Rev. A 76, 013833 (2007).
[CrossRef]

A. Allevi, O. Jedrkiewicz, E. Brambilla, A. Gatti, J. Peřina, O. Haderka, and M. Bondani, “Coherence properties of high-gain twin beams generated in pump-depletion regime,” arXiv:1404.3843 (2014).

A. Allevi and M. Bondani, “Generation and detection of mesoscopic pulsed states of light for quantum information,” in Femtosecond-Scale Optics, A. V. Andreev, ed. (Intech, 2011), pp. 287–306.

Andersson, E.

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, “Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities,” Nat. Phys. 7, 677–680 (2011).
[CrossRef]

Andreoni, A.

M. Bondani, A. Allevi, and A. Andreoni, “Choosing a photoemissive detector suitable for photon-number statistics of pulsed fields,” Int. J. Quantum. Inform. 9, 93–101 (2011).

A. Allevi, M. Bondani, and A. Andreoni, “Photon-number correlations by photon-number resolving detectors,” Opt. Lett. 35, 1707–1709 (2010).
[CrossRef]

A. Allevi, A. Andreoni, F. A. Beduini, M. Bondani, M. G. Genoni, S. Olivares, and M. G. A. Paris, “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion,” Europhys. Lett. 92, 20007 (2010).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, “Light statistics by non-calibrated linear photodetectors,” Adv. Sci. Lett. 2, 463–468 (2009).

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, “Self-consistent characterization of light statistics,” J. Mod. Opt. 56, 226–231 (2009).
[CrossRef]

A. Andreoni and M. Bondani, “Photon statistics in the macroscopic realm measured without photon counters,” Phys. Rev. A 80, 013819 (2009).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, “Sub-shot-noise photon-number correlation in a mesoscopic twin beam of light,” Phys. Rev. A 76, 013833 (2007).
[CrossRef]

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, “Quantum and classical correlations of intense beams of light investigated via joint photodetection,” J. Opt. B 7, S652–S663 (2005).

F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, “Thermal photon statistics in spontaneous parametric downconversion,” Opt. Express 12, 2816–2824 (2004).
[CrossRef]

Avenhaus, M.

M. Avenhaus, K. Laiho, M. V. Chekhova, and C. Silberhorn, “Accessing higher order correlations in quantum optical states by time multiplexing,” Phys. Rev. Lett. 104, 063602 (2010).
[CrossRef]

W. Mauerer, M. Avenhaus, W. Helwig, and C. Silberhorn, “How colors influence numbers: photon statistics of parametric down-conversion,” Phys. Rev. A 80, 053815 (2009).
[CrossRef]

M. Avenhaus, H. B. Coldenstrodt-Ronge, K. Laiho, W. Mauerer, I. A. Walmsley, and C. Silberhorn, “Photon number statistics of multimode parametric down-conversion,” Phys. Rev. Lett. 101, 053601 (2008).
[CrossRef]

Bache, M.

O. Jedrkiewicz, Y.-K. Yang, E. Brambilla, A. Gatti, M. Bache, L. Lugiato, and P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

Bakstein, M.

L. Dovrat, M. Bakstein, D. Istrati, E. Megidish, A. Halevy, L. Cohen, and H. S. Eisenberg, “Direct observation of the degree of correlations using photon-number-resolving detectors,” Phys. Rev. A 87, 053813 (2013).
[CrossRef]

L. Dovrat, M. Bakstein, D. Istrati, A. Shaham, and H. S. Eisenberg, “Measurements of the dependence of the photon-number distribution on the number of modes in parametric down-conversion,” Opt. Express 20, 2266–2276 (2012).
[CrossRef]

Banaszek, K.

W. Wasilewski, C. Radzewicz, R. Frankowski, and K. Banaszek, “Statistics of multiphoton events in spontaneous parametric down-conversion,” Phys. Rev. A 78, 033831 (2008).
[CrossRef]

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, “Pulsed squeezed light: simultaneous squeezing of multiple modes,” Phys. Rev. A 73, 063819 (2006).
[CrossRef]

Barbieri, M.

T. J. Bartley, G. Donati, X.-M. Jin, A. Datta, M. Barbieri, and I. A. Walmsley, “Direct observation of sub-binomial light,” Phys. Rev. Lett. 110, 173602 (2013).
[CrossRef]

Barnett, S. M.

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

Bartley, T. J.

T. J. Bartley, G. Donati, X.-M. Jin, A. Datta, M. Barbieri, and I. A. Walmsley, “Direct observation of sub-binomial light,” Phys. Rev. Lett. 110, 173602 (2013).
[CrossRef]

Beduini, F. A.

A. Allevi, A. Andreoni, F. A. Beduini, M. Bondani, M. G. Genoni, S. Olivares, and M. G. A. Paris, “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion,” Europhys. Lett. 92, 20007 (2010).
[CrossRef]

Bennink, R. S.

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontaneous parametric down conversion,” Phys. Rev. Lett. 92, 210403 (2004).
[CrossRef]

Bentley, S. J.

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontaneous parametric down conversion,” Phys. Rev. Lett. 92, 210403 (2004).
[CrossRef]

Bienfang, J. C.

A. Migdall, S. V. Polyakov, J. Fan, and J. C. Bienfang, Single-Photon Generation and Detection: Physics and Applications, 1st ed. (Academic, 2013) and references therein.

Bondani, M.

M. Lamperti, A. Allevi, M. Bondani, R. Machulka, V. Michálek, O. Haderka, and J. Peřina, “Optimal sub-Poissonian light generation from twin beams by photon-number resolving detectors,” J. Opt. Soc. Am. B 31, 20–25 (2014).
[CrossRef]

R. Machulka, O. Haderka, J. Peřina, M. Lamperti, A. Allevi, and M. Bondani, “Spatial properties of twin-beam correlations at low- to high-intensity transition,” Opt. Express 22, 13374–13379 (2014).
[CrossRef]

A. Allevi, M. Lamperti, M. Bondani, J. Peřina, V. Michálek, O. Haderka, and R. Machulka, “Characterizing the nonclassicality of mesoscopic optical twin-beam states,” Phys. Rev. A 88, 063807 (2013).
[CrossRef]

A. Allevi, S. Olivares, and M. Bondani, “Measuring high-order photon-number correlations in experiments with multimode pulsed quantum states,” Phys. Rev. A 85, 063835 (2012).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, “Choosing a photoemissive detector suitable for photon-number statistics of pulsed fields,” Int. J. Quantum. Inform. 9, 93–101 (2011).

A. Allevi, M. Bondani, and A. Andreoni, “Photon-number correlations by photon-number resolving detectors,” Opt. Lett. 35, 1707–1709 (2010).
[CrossRef]

A. Allevi, A. Andreoni, F. A. Beduini, M. Bondani, M. G. Genoni, S. Olivares, and M. G. A. Paris, “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion,” Europhys. Lett. 92, 20007 (2010).
[CrossRef]

M. Bondani, A. Allevi, and A. Andreoni, “Light statistics by non-calibrated linear photodetectors,” Adv. Sci. Lett. 2, 463–468 (2009).

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, “Self-consistent characterization of light statistics,” J. Mod. Opt. 56, 226–231 (2009).
[CrossRef]

A. Andreoni and M. Bondani, “Photon statistics in the macroscopic realm measured without photon counters,” Phys. Rev. A 80, 013819 (2009).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, “Sub-shot-noise photon-number correlation in a mesoscopic twin beam of light,” Phys. Rev. A 76, 013833 (2007).
[CrossRef]

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, “Quantum and classical correlations of intense beams of light investigated via joint photodetection,” J. Opt. B 7, S652–S663 (2005).

F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, “Thermal photon statistics in spontaneous parametric downconversion,” Opt. Express 12, 2816–2824 (2004).
[CrossRef]

A. Allevi and M. Bondani, “Generation and detection of mesoscopic pulsed states of light for quantum information,” in Femtosecond-Scale Optics, A. V. Andreev, ed. (Intech, 2011), pp. 287–306.

A. Allevi, O. Jedrkiewicz, E. Brambilla, A. Gatti, J. Peřina, O. Haderka, and M. Bondani, “Coherence properties of high-gain twin beams generated in pump-depletion regime,” arXiv:1404.3843 (2014).

Boyd, R. W.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontaneous parametric down conversion,” Phys. Rev. Lett. 92, 210403 (2004).
[CrossRef]

Brambilla, E.

O. Jedrkiewicz, Y.-K. Yang, E. Brambilla, A. Gatti, M. Bache, L. Lugiato, and P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

A. Allevi, O. Jedrkiewicz, E. Brambilla, A. Gatti, J. Peřina, O. Haderka, and M. Bondani, “Coherence properties of high-gain twin beams generated in pump-depletion regime,” arXiv:1404.3843 (2014).

Brida, G.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo-Berchera, “Measurement of sub-shot-noise spatial correlations without background subtraction,” Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef]

Buller, G. S.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, “Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities,” Nat. Phys. 7, 677–680 (2011).
[CrossRef]

Caspani, L.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo-Berchera, “Measurement of sub-shot-noise spatial correlations without background subtraction,” Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef]

Cassemiro, K. N.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, “Probing multimode squeezing with correlation functions,” New J. Phys. 13, 033027 (2011).

Chekhova, M. V.

A. M. Perez, T. Sh. Iskhakov, P. Sharapova, S. Lemieux, O. V. Tikhonova, M. V. Chekhova, and G. Leuchs, “Spatially single-mode source of bright squeezed vacuum,” Opt. Lett. 39, 2403–2406 (2014).
[CrossRef]

D. A. Kalashnikov, S.-H. Tan, T. Sh. Iskhakov, M. V. Chekhova, and L. A. Krivitsky, “Measurement of two-mode squeezing with photon number resolving multipixel detectors,” Opt. Lett. 37, 2829–2831 (2012).
[CrossRef]

D. A. Kalashnikov, S.-H. Tan, M. V. Chekhova, and L. A. Krivitsky, “Accessing photon bunching with a photon number resolving multi-pixel detector,” Opt. Express 19, 9352–9363 (2011).
[CrossRef]

M. Avenhaus, K. Laiho, M. V. Chekhova, and C. Silberhorn, “Accessing higher order correlations in quantum optical states by time multiplexing,” Phys. Rev. Lett. 104, 063602 (2010).
[CrossRef]

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” Phys. Rev. A 82, 011801(R) (2010).
[CrossRef]

T. Iskhakov, M. V. Chekhova, and G. Leuchs, “Generation and direct detection of broadband mesoscopic polarization-squeezed vacuum,” Phys. Rev. Lett. 102, 183602 (2009).
[CrossRef]

Christ, A.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, “Probing multimode squeezing with correlation functions,” New J. Phys. 13, 033027 (2011).

Cohen, L.

L. Dovrat, M. Bakstein, D. Istrati, E. Megidish, A. Halevy, L. Cohen, and H. S. Eisenberg, “Direct observation of the degree of correlations using photon-number-resolving detectors,” Phys. Rev. A 87, 053813 (2013).
[CrossRef]

Coldenstrodt-Ronge, H. B.

M. Avenhaus, H. B. Coldenstrodt-Ronge, K. Laiho, W. Mauerer, I. A. Walmsley, and C. Silberhorn, “Photon number statistics of multimode parametric down-conversion,” Phys. Rev. Lett. 101, 053601 (2008).
[CrossRef]

Dada, A. C.

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, “Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities,” Nat. Phys. 7, 677–680 (2011).
[CrossRef]

Datta, A.

T. J. Bartley, G. Donati, X.-M. Jin, A. Datta, M. Barbieri, and I. A. Walmsley, “Direct observation of sub-binomial light,” Phys. Rev. Lett. 110, 173602 (2013).
[CrossRef]

De Cillis, G.

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, “Quantum and classical correlations of intense beams of light investigated via joint photodetection,” J. Opt. B 7, S652–S663 (2005).

de Dood, M. J. A.

Di Trapani, P.

O. Jedrkiewicz, Y.-K. Yang, E. Brambilla, A. Gatti, M. Bache, L. Lugiato, and P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

Diamanti, E.

E. Waks, B. C. Sanders, E. Diamanti, and Y. Yamamoto, “Highly nonclassical photon statistics in parametric down-conversion,” Phys. Rev. A 73, 033814 (2006).
[CrossRef]

Donati, G.

T. J. Bartley, G. Donati, X.-M. Jin, A. Datta, M. Barbieri, and I. A. Walmsley, “Direct observation of sub-binomial light,” Phys. Rev. Lett. 110, 173602 (2013).
[CrossRef]

Dovrat, L.

L. Dovrat, M. Bakstein, D. Istrati, E. Megidish, A. Halevy, L. Cohen, and H. S. Eisenberg, “Direct observation of the degree of correlations using photon-number-resolving detectors,” Phys. Rev. A 87, 053813 (2013).
[CrossRef]

L. Dovrat, M. Bakstein, D. Istrati, A. Shaham, and H. S. Eisenberg, “Measurements of the dependence of the photon-number distribution on the number of modes in parametric down-conversion,” Opt. Express 20, 2266–2276 (2012).
[CrossRef]

Eckstein, A.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, “Probing multimode squeezing with correlation functions,” New J. Phys. 13, 033027 (2011).

Edgar, M. P.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

Eisenberg, H. S.

L. Dovrat, M. Bakstein, D. Istrati, E. Megidish, A. Halevy, L. Cohen, and H. S. Eisenberg, “Direct observation of the degree of correlations using photon-number-resolving detectors,” Phys. Rev. A 87, 053813 (2013).
[CrossRef]

L. Dovrat, M. Bakstein, D. Istrati, A. Shaham, and H. S. Eisenberg, “Measurements of the dependence of the photon-number distribution on the number of modes in parametric down-conversion,” Opt. Express 20, 2266–2276 (2012).
[CrossRef]

Fan, J.

A. Migdall, S. V. Polyakov, J. Fan, and J. C. Bienfang, Single-Photon Generation and Detection: Physics and Applications, 1st ed. (Academic, 2013) and references therein.

Frankowski, R.

W. Wasilewski, C. Radzewicz, R. Frankowski, and K. Banaszek, “Statistics of multiphoton events in spontaneous parametric down-conversion,” Phys. Rev. A 78, 033831 (2008).
[CrossRef]

Gatti, A.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo-Berchera, “Measurement of sub-shot-noise spatial correlations without background subtraction,” Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef]

O. Jedrkiewicz, Y.-K. Yang, E. Brambilla, A. Gatti, M. Bache, L. Lugiato, and P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

A. Allevi, O. Jedrkiewicz, E. Brambilla, A. Gatti, J. Peřina, O. Haderka, and M. Bondani, “Coherence properties of high-gain twin beams generated in pump-depletion regime,” arXiv:1404.3843 (2014).

Genoni, M. G.

A. Allevi, A. Andreoni, F. A. Beduini, M. Bondani, M. G. Genoni, S. Olivares, and M. G. A. Paris, “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion,” Europhys. Lett. 92, 20007 (2010).
[CrossRef]

Genovese, M.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo-Berchera, “Measurement of sub-shot-noise spatial correlations without background subtraction,” Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef]

Glauber, R. J.

B. R. Mollow and R. J. Glauber, “Quantum theory of parametric amplification. Part 2,” Phys. Rev. 160, 1097–1108 (1967).
[CrossRef]

Göhne, O.

N. Kiesel, C. Schmid, U. Weber, G. To’th, O. Göhne, R. Ursin, and H. Weinfurter, “Experimental analysis of a four-qubit photon cluster state,” Phys. Rev. Lett. 95, 201502 (2005).

Gomes, R. M.

D. S. Tasca, R. M. Gomes, F. Toscano, P. H. Souto Ribeiro, and S. P. Walborn, “Continuous-variable quantum computation with spatial degrees of freedom of photons,” Phys. Rev. A 83, 052325 (2011).
[CrossRef]

Haderka, O.

M. Lamperti, A. Allevi, M. Bondani, R. Machulka, V. Michálek, O. Haderka, and J. Peřina, “Optimal sub-Poissonian light generation from twin beams by photon-number resolving detectors,” J. Opt. Soc. Am. B 31, 20–25 (2014).
[CrossRef]

R. Machulka, O. Haderka, J. Peřina, M. Lamperti, A. Allevi, and M. Bondani, “Spatial properties of twin-beam correlations at low- to high-intensity transition,” Opt. Express 22, 13374–13379 (2014).
[CrossRef]

A. Allevi, M. Lamperti, M. Bondani, J. Peřina, V. Michálek, O. Haderka, and R. Machulka, “Characterizing the nonclassicality of mesoscopic optical twin-beam states,” Phys. Rev. A 88, 063807 (2013).
[CrossRef]

J. Peřina, M. Hamar, V. Michálek, and O. Haderka, “Photon-number distributions of twin beams generated in spontaneous parametric down-conversion and measured by an intensified CCD camera,” Phys. Rev. A 85, 023816 (2012).
[CrossRef]

A. Allevi, O. Jedrkiewicz, E. Brambilla, A. Gatti, J. Peřina, O. Haderka, and M. Bondani, “Coherence properties of high-gain twin beams generated in pump-depletion regime,” arXiv:1404.3843 (2014).

Halevy, A.

L. Dovrat, M. Bakstein, D. Istrati, E. Megidish, A. Halevy, L. Cohen, and H. S. Eisenberg, “Direct observation of the degree of correlations using photon-number-resolving detectors,” Phys. Rev. A 87, 053813 (2013).
[CrossRef]

Hamar, M.

J. Peřina, M. Hamar, V. Michálek, and O. Haderka, “Photon-number distributions of twin beams generated in spontaneous parametric down-conversion and measured by an intensified CCD camera,” Phys. Rev. A 85, 023816 (2012).
[CrossRef]

Helwig, W.

W. Mauerer, M. Avenhaus, W. Helwig, and C. Silberhorn, “How colors influence numbers: photon statistics of parametric down-conversion,” Phys. Rev. A 80, 053815 (2009).
[CrossRef]

Howell, J. C.

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontaneous parametric down conversion,” Phys. Rev. Lett. 92, 210403 (2004).
[CrossRef]

Ireland, D. G.

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

Iskhakov, T.

T. Iskhakov, M. V. Chekhova, and G. Leuchs, “Generation and direct detection of broadband mesoscopic polarization-squeezed vacuum,” Phys. Rev. Lett. 102, 183602 (2009).
[CrossRef]

Iskhakov, T. Sh.

Istrati, D.

L. Dovrat, M. Bakstein, D. Istrati, E. Megidish, A. Halevy, L. Cohen, and H. S. Eisenberg, “Direct observation of the degree of correlations using photon-number-resolving detectors,” Phys. Rev. A 87, 053813 (2013).
[CrossRef]

L. Dovrat, M. Bakstein, D. Istrati, A. Shaham, and H. S. Eisenberg, “Measurements of the dependence of the photon-number distribution on the number of modes in parametric down-conversion,” Opt. Express 20, 2266–2276 (2012).
[CrossRef]

Izdebski, F.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

Jedrkiewicz, O.

O. Jedrkiewicz, Y.-K. Yang, E. Brambilla, A. Gatti, M. Bache, L. Lugiato, and P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

A. Allevi, O. Jedrkiewicz, E. Brambilla, A. Gatti, J. Peřina, O. Haderka, and M. Bondani, “Coherence properties of high-gain twin beams generated in pump-depletion regime,” arXiv:1404.3843 (2014).

Jin, X.-M.

T. J. Bartley, G. Donati, X.-M. Jin, A. Datta, M. Barbieri, and I. A. Walmsley, “Direct observation of sub-binomial light,” Phys. Rev. Lett. 110, 173602 (2013).
[CrossRef]

Jonathan, D.

M. Murao, D. Jonathan, M. B. Plenio, and V. Vedral, “Quantum telecloning and multiparticle entanglement,” Phys. Rev. A 59, 156–161 (1999).
[CrossRef]

Joobeur, A.

A. Joobeur, B. E. A. Saleh, and M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994).
[CrossRef]

Kalashnikov, D. A.

Kiesel, N.

N. Kiesel, C. Schmid, U. Weber, G. To’th, O. Göhne, R. Ursin, and H. Weinfurter, “Experimental analysis of a four-qubit photon cluster state,” Phys. Rev. Lett. 95, 201502 (2005).

Krivitsky, L. A.

Laiho, K.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, “Probing multimode squeezing with correlation functions,” New J. Phys. 13, 033027 (2011).

M. Avenhaus, K. Laiho, M. V. Chekhova, and C. Silberhorn, “Accessing higher order correlations in quantum optical states by time multiplexing,” Phys. Rev. Lett. 104, 063602 (2010).
[CrossRef]

M. Avenhaus, H. B. Coldenstrodt-Ronge, K. Laiho, W. Mauerer, I. A. Walmsley, and C. Silberhorn, “Photon number statistics of multimode parametric down-conversion,” Phys. Rev. Lett. 101, 053601 (2008).
[CrossRef]

Lamperti, M.

Leach, J.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, “Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities,” Nat. Phys. 7, 677–680 (2011).
[CrossRef]

Lemieux, S.

Leuchs, G.

A. M. Perez, T. Sh. Iskhakov, P. Sharapova, S. Lemieux, O. V. Tikhonova, M. V. Chekhova, and G. Leuchs, “Spatially single-mode source of bright squeezed vacuum,” Opt. Lett. 39, 2403–2406 (2014).
[CrossRef]

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” Phys. Rev. A 82, 011801(R) (2010).
[CrossRef]

T. Iskhakov, M. V. Chekhova, and G. Leuchs, “Generation and direct detection of broadband mesoscopic polarization-squeezed vacuum,” Phys. Rev. Lett. 102, 183602 (2009).
[CrossRef]

Loudon, R.

R. Loudon, The Quantum Theory of Light, 3rd ed. (Oxford Science, 2000).

Lugiato, L.

O. Jedrkiewicz, Y.-K. Yang, E. Brambilla, A. Gatti, M. Bache, L. Lugiato, and P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

Lvovsky, A. I.

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, “Pulsed squeezed light: simultaneous squeezing of multiple modes,” Phys. Rev. A 73, 063819 (2006).
[CrossRef]

Machulka, R.

Mauerer, W.

W. Mauerer, M. Avenhaus, W. Helwig, and C. Silberhorn, “How colors influence numbers: photon statistics of parametric down-conversion,” Phys. Rev. A 80, 053815 (2009).
[CrossRef]

M. Avenhaus, H. B. Coldenstrodt-Ronge, K. Laiho, W. Mauerer, I. A. Walmsley, and C. Silberhorn, “Photon number statistics of multimode parametric down-conversion,” Phys. Rev. Lett. 101, 053601 (2008).
[CrossRef]

Meda, A.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo-Berchera, “Measurement of sub-shot-noise spatial correlations without background subtraction,” Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef]

Megidish, E.

L. Dovrat, M. Bakstein, D. Istrati, E. Megidish, A. Halevy, L. Cohen, and H. S. Eisenberg, “Direct observation of the degree of correlations using photon-number-resolving detectors,” Phys. Rev. A 87, 053813 (2013).
[CrossRef]

Michálek, V.

M. Lamperti, A. Allevi, M. Bondani, R. Machulka, V. Michálek, O. Haderka, and J. Peřina, “Optimal sub-Poissonian light generation from twin beams by photon-number resolving detectors,” J. Opt. Soc. Am. B 31, 20–25 (2014).
[CrossRef]

A. Allevi, M. Lamperti, M. Bondani, J. Peřina, V. Michálek, O. Haderka, and R. Machulka, “Characterizing the nonclassicality of mesoscopic optical twin-beam states,” Phys. Rev. A 88, 063807 (2013).
[CrossRef]

J. Peřina, M. Hamar, V. Michálek, and O. Haderka, “Photon-number distributions of twin beams generated in spontaneous parametric down-conversion and measured by an intensified CCD camera,” Phys. Rev. A 85, 023816 (2012).
[CrossRef]

Migdall, A.

A. Migdall, S. V. Polyakov, J. Fan, and J. C. Bienfang, Single-Photon Generation and Detection: Physics and Applications, 1st ed. (Academic, 2013) and references therein.

Mollow, B. R.

B. R. Mollow and R. J. Glauber, “Quantum theory of parametric amplification. Part 2,” Phys. Rev. 160, 1097–1108 (1967).
[CrossRef]

Murao, M.

M. Murao, D. Jonathan, M. B. Plenio, and V. Vedral, “Quantum telecloning and multiparticle entanglement,” Phys. Rev. A 59, 156–161 (1999).
[CrossRef]

Olivares, S.

A. Allevi, S. Olivares, and M. Bondani, “Measuring high-order photon-number correlations in experiments with multimode pulsed quantum states,” Phys. Rev. A 85, 063835 (2012).
[CrossRef]

A. Allevi, A. Andreoni, F. A. Beduini, M. Bondani, M. G. Genoni, S. Olivares, and M. G. A. Paris, “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion,” Europhys. Lett. 92, 20007 (2010).
[CrossRef]

Padgett, M. J.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, “Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities,” Nat. Phys. 7, 677–680 (2011).
[CrossRef]

Paleari, F.

Paris, M. G. A.

A. Allevi, A. Andreoni, F. A. Beduini, M. Bondani, M. G. Genoni, S. Olivares, and M. G. A. Paris, “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion,” Europhys. Lett. 92, 20007 (2010).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, “Sub-shot-noise photon-number correlation in a mesoscopic twin beam of light,” Phys. Rev. A 76, 013833 (2007).
[CrossRef]

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, “Quantum and classical correlations of intense beams of light investigated via joint photodetection,” J. Opt. B 7, S652–S663 (2005).

Perez, A. M.

Perina, J.

M. Lamperti, A. Allevi, M. Bondani, R. Machulka, V. Michálek, O. Haderka, and J. Peřina, “Optimal sub-Poissonian light generation from twin beams by photon-number resolving detectors,” J. Opt. Soc. Am. B 31, 20–25 (2014).
[CrossRef]

R. Machulka, O. Haderka, J. Peřina, M. Lamperti, A. Allevi, and M. Bondani, “Spatial properties of twin-beam correlations at low- to high-intensity transition,” Opt. Express 22, 13374–13379 (2014).
[CrossRef]

A. Allevi, M. Lamperti, M. Bondani, J. Peřina, V. Michálek, O. Haderka, and R. Machulka, “Characterizing the nonclassicality of mesoscopic optical twin-beam states,” Phys. Rev. A 88, 063807 (2013).
[CrossRef]

J. Peřina, M. Hamar, V. Michálek, and O. Haderka, “Photon-number distributions of twin beams generated in spontaneous parametric down-conversion and measured by an intensified CCD camera,” Phys. Rev. A 85, 023816 (2012).
[CrossRef]

A. Allevi, O. Jedrkiewicz, E. Brambilla, A. Gatti, J. Peřina, O. Haderka, and M. Bondani, “Coherence properties of high-gain twin beams generated in pump-depletion regime,” arXiv:1404.3843 (2014).

Plenio, M. B.

M. Murao, D. Jonathan, M. B. Plenio, and V. Vedral, “Quantum telecloning and multiparticle entanglement,” Phys. Rev. A 59, 156–161 (1999).
[CrossRef]

Polyakov, S. V.

A. Migdall, S. V. Polyakov, J. Fan, and J. C. Bienfang, Single-Photon Generation and Detection: Physics and Applications, 1st ed. (Academic, 2013) and references therein.

Radzewicz, C.

W. Wasilewski, C. Radzewicz, R. Frankowski, and K. Banaszek, “Statistics of multiphoton events in spontaneous parametric down-conversion,” Phys. Rev. A 78, 033831 (2008).
[CrossRef]

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, “Pulsed squeezed light: simultaneous squeezing of multiple modes,” Phys. Rev. A 73, 063819 (2006).
[CrossRef]

Ruo-Berchera, I.

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo-Berchera, “Measurement of sub-shot-noise spatial correlations without background subtraction,” Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef]

Saleh, B. E. A.

A. Joobeur, B. E. A. Saleh, and M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994).
[CrossRef]

Sanders, B. C.

E. Waks, B. C. Sanders, E. Diamanti, and Y. Yamamoto, “Highly nonclassical photon statistics in parametric down-conversion,” Phys. Rev. A 73, 033814 (2006).
[CrossRef]

Schmid, C.

N. Kiesel, C. Schmid, U. Weber, G. To’th, O. Göhne, R. Ursin, and H. Weinfurter, “Experimental analysis of a four-qubit photon cluster state,” Phys. Rev. Lett. 95, 201502 (2005).

Shaham, A.

Sharapova, P.

Silberhorn, C.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, “Probing multimode squeezing with correlation functions,” New J. Phys. 13, 033027 (2011).

M. Avenhaus, K. Laiho, M. V. Chekhova, and C. Silberhorn, “Accessing higher order correlations in quantum optical states by time multiplexing,” Phys. Rev. Lett. 104, 063602 (2010).
[CrossRef]

W. Mauerer, M. Avenhaus, W. Helwig, and C. Silberhorn, “How colors influence numbers: photon statistics of parametric down-conversion,” Phys. Rev. A 80, 053815 (2009).
[CrossRef]

M. Avenhaus, H. B. Coldenstrodt-Ronge, K. Laiho, W. Mauerer, I. A. Walmsley, and C. Silberhorn, “Photon number statistics of multimode parametric down-conversion,” Phys. Rev. Lett. 101, 053601 (2008).
[CrossRef]

Souto Ribeiro, P. H.

D. S. Tasca, R. M. Gomes, F. Toscano, P. H. Souto Ribeiro, and S. P. Walborn, “Continuous-variable quantum computation with spatial degrees of freedom of photons,” Phys. Rev. A 83, 052325 (2011).
[CrossRef]

Tan, S.-H.

Tasca, D. S.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

D. S. Tasca, R. M. Gomes, F. Toscano, P. H. Souto Ribeiro, and S. P. Walborn, “Continuous-variable quantum computation with spatial degrees of freedom of photons,” Phys. Rev. A 83, 052325 (2011).
[CrossRef]

Teich, M. C.

A. Joobeur, B. E. A. Saleh, and M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994).
[CrossRef]

Tikhonova, O. V.

To’th, G.

N. Kiesel, C. Schmid, U. Weber, G. To’th, O. Göhne, R. Ursin, and H. Weinfurter, “Experimental analysis of a four-qubit photon cluster state,” Phys. Rev. Lett. 95, 201502 (2005).

Toscano, F.

D. S. Tasca, R. M. Gomes, F. Toscano, P. H. Souto Ribeiro, and S. P. Walborn, “Continuous-variable quantum computation with spatial degrees of freedom of photons,” Phys. Rev. A 83, 052325 (2011).
[CrossRef]

Ursin, R.

N. Kiesel, C. Schmid, U. Weber, G. To’th, O. Göhne, R. Ursin, and H. Weinfurter, “Experimental analysis of a four-qubit photon cluster state,” Phys. Rev. Lett. 95, 201502 (2005).

van Exter, M. P.

Vedral, V.

M. Murao, D. Jonathan, M. B. Plenio, and V. Vedral, “Quantum telecloning and multiparticle entanglement,” Phys. Rev. A 59, 156–161 (1999).
[CrossRef]

Waks, E.

E. Waks, B. C. Sanders, E. Diamanti, and Y. Yamamoto, “Highly nonclassical photon statistics in parametric down-conversion,” Phys. Rev. A 73, 033814 (2006).
[CrossRef]

Walborn, S. P.

D. S. Tasca, R. M. Gomes, F. Toscano, P. H. Souto Ribeiro, and S. P. Walborn, “Continuous-variable quantum computation with spatial degrees of freedom of photons,” Phys. Rev. A 83, 052325 (2011).
[CrossRef]

Walmsley, I. A.

T. J. Bartley, G. Donati, X.-M. Jin, A. Datta, M. Barbieri, and I. A. Walmsley, “Direct observation of sub-binomial light,” Phys. Rev. Lett. 110, 173602 (2013).
[CrossRef]

M. Avenhaus, H. B. Coldenstrodt-Ronge, K. Laiho, W. Mauerer, I. A. Walmsley, and C. Silberhorn, “Photon number statistics of multimode parametric down-conversion,” Phys. Rev. Lett. 101, 053601 (2008).
[CrossRef]

Warburton, R. E.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

Wasilewski, W.

W. Wasilewski, C. Radzewicz, R. Frankowski, and K. Banaszek, “Statistics of multiphoton events in spontaneous parametric down-conversion,” Phys. Rev. A 78, 033831 (2008).
[CrossRef]

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, “Pulsed squeezed light: simultaneous squeezing of multiple modes,” Phys. Rev. A 73, 063819 (2006).
[CrossRef]

Weber, U.

N. Kiesel, C. Schmid, U. Weber, G. To’th, O. Göhne, R. Ursin, and H. Weinfurter, “Experimental analysis of a four-qubit photon cluster state,” Phys. Rev. Lett. 95, 201502 (2005).

Weinfurter, H.

N. Kiesel, C. Schmid, U. Weber, G. To’th, O. Göhne, R. Ursin, and H. Weinfurter, “Experimental analysis of a four-qubit photon cluster state,” Phys. Rev. Lett. 95, 201502 (2005).

Yamamoto, Y.

E. Waks, B. C. Sanders, E. Diamanti, and Y. Yamamoto, “Highly nonclassical photon statistics in parametric down-conversion,” Phys. Rev. A 73, 033814 (2006).
[CrossRef]

Yang, Y.-K.

O. Jedrkiewicz, Y.-K. Yang, E. Brambilla, A. Gatti, M. Bache, L. Lugiato, and P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

Yao, A. M.

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

Yorulmaz, S. C.

Zambra, G.

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, “Sub-shot-noise photon-number correlation in a mesoscopic twin beam of light,” Phys. Rev. A 76, 013833 (2007).
[CrossRef]

F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, “Thermal photon statistics in spontaneous parametric downconversion,” Opt. Express 12, 2816–2824 (2004).
[CrossRef]

Adv. Sci. Lett. (1)

M. Bondani, A. Allevi, and A. Andreoni, “Light statistics by non-calibrated linear photodetectors,” Adv. Sci. Lett. 2, 463–468 (2009).

Europhys. Lett. (1)

A. Allevi, A. Andreoni, F. A. Beduini, M. Bondani, M. G. Genoni, S. Olivares, and M. G. A. Paris, “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion,” Europhys. Lett. 92, 20007 (2010).
[CrossRef]

Int. J. Quantum. Inform. (1)

M. Bondani, A. Allevi, and A. Andreoni, “Choosing a photoemissive detector suitable for photon-number statistics of pulsed fields,” Int. J. Quantum. Inform. 9, 93–101 (2011).

J. Mod. Opt. (1)

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, “Self-consistent characterization of light statistics,” J. Mod. Opt. 56, 226–231 (2009).
[CrossRef]

J. Opt. B (1)

A. Agliati, M. Bondani, A. Andreoni, G. De Cillis, and M. G. A. Paris, “Quantum and classical correlations of intense beams of light investigated via joint photodetection,” J. Opt. B 7, S652–S663 (2005).

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

Nat. Commun. (1)

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, and M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera,” Nat. Commun. 3, 984 (2012).
[CrossRef]

Nat. Phys. (1)

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, “Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities,” Nat. Phys. 7, 677–680 (2011).
[CrossRef]

New J. Phys. (1)

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, “Probing multimode squeezing with correlation functions,” New J. Phys. 13, 033027 (2011).

Opt. Express (5)

Opt. Lett. (3)

Phys. Rev. (1)

B. R. Mollow and R. J. Glauber, “Quantum theory of parametric amplification. Part 2,” Phys. Rev. 160, 1097–1108 (1967).
[CrossRef]

Phys. Rev. A (15)

A. Joobeur, B. E. A. Saleh, and M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994).
[CrossRef]

A. Allevi, S. Olivares, and M. Bondani, “Measuring high-order photon-number correlations in experiments with multimode pulsed quantum states,” Phys. Rev. A 85, 063835 (2012).
[CrossRef]

W. Wasilewski, C. Radzewicz, R. Frankowski, and K. Banaszek, “Statistics of multiphoton events in spontaneous parametric down-conversion,” Phys. Rev. A 78, 033831 (2008).
[CrossRef]

W. Mauerer, M. Avenhaus, W. Helwig, and C. Silberhorn, “How colors influence numbers: photon statistics of parametric down-conversion,” Phys. Rev. A 80, 053815 (2009).
[CrossRef]

J. Peřina, M. Hamar, V. Michálek, and O. Haderka, “Photon-number distributions of twin beams generated in spontaneous parametric down-conversion and measured by an intensified CCD camera,” Phys. Rev. A 85, 023816 (2012).
[CrossRef]

E. Waks, B. C. Sanders, E. Diamanti, and Y. Yamamoto, “Highly nonclassical photon statistics in parametric down-conversion,” Phys. Rev. A 73, 033814 (2006).
[CrossRef]

D. S. Tasca, R. M. Gomes, F. Toscano, P. H. Souto Ribeiro, and S. P. Walborn, “Continuous-variable quantum computation with spatial degrees of freedom of photons,” Phys. Rev. A 83, 052325 (2011).
[CrossRef]

L. Dovrat, M. Bakstein, D. Istrati, E. Megidish, A. Halevy, L. Cohen, and H. S. Eisenberg, “Direct observation of the degree of correlations using photon-number-resolving detectors,” Phys. Rev. A 87, 053813 (2013).
[CrossRef]

J. Leach, R. E. Warburton, D. G. Ireland, F. Izdebski, S. M. Barnett, A. M. Yao, G. S. Buller, and M. J. Padgett, “Quantum correlations in position, momentum, and intermediate bases for a full optical field of view,” Phys. Rev. A 85, 013827 (2012).
[CrossRef]

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, “Pulsed squeezed light: simultaneous squeezing of multiple modes,” Phys. Rev. A 73, 063819 (2006).
[CrossRef]

A. Allevi, M. Lamperti, M. Bondani, J. Peřina, V. Michálek, O. Haderka, and R. Machulka, “Characterizing the nonclassicality of mesoscopic optical twin-beam states,” Phys. Rev. A 88, 063807 (2013).
[CrossRef]

A. Andreoni and M. Bondani, “Photon statistics in the macroscopic realm measured without photon counters,” Phys. Rev. A 80, 013819 (2009).
[CrossRef]

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, “Two-color bright squeezed vacuum,” Phys. Rev. A 82, 011801(R) (2010).
[CrossRef]

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, “Sub-shot-noise photon-number correlation in a mesoscopic twin beam of light,” Phys. Rev. A 76, 013833 (2007).
[CrossRef]

M. Murao, D. Jonathan, M. B. Plenio, and V. Vedral, “Quantum telecloning and multiparticle entanglement,” Phys. Rev. A 59, 156–161 (1999).
[CrossRef]

Phys. Rev. Lett. (8)

G. Brida, L. Caspani, A. Gatti, M. Genovese, A. Meda, and I. Ruo-Berchera, “Measurement of sub-shot-noise spatial correlations without background subtraction,” Phys. Rev. Lett. 102, 213602 (2009).
[CrossRef]

T. Iskhakov, M. V. Chekhova, and G. Leuchs, “Generation and direct detection of broadband mesoscopic polarization-squeezed vacuum,” Phys. Rev. Lett. 102, 183602 (2009).
[CrossRef]

N. Kiesel, C. Schmid, U. Weber, G. To’th, O. Göhne, R. Ursin, and H. Weinfurter, “Experimental analysis of a four-qubit photon cluster state,” Phys. Rev. Lett. 95, 201502 (2005).

J. C. Howell, R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Realization of the Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontaneous parametric down conversion,” Phys. Rev. Lett. 92, 210403 (2004).
[CrossRef]

M. Avenhaus, H. B. Coldenstrodt-Ronge, K. Laiho, W. Mauerer, I. A. Walmsley, and C. Silberhorn, “Photon number statistics of multimode parametric down-conversion,” Phys. Rev. Lett. 101, 053601 (2008).
[CrossRef]

O. Jedrkiewicz, Y.-K. Yang, E. Brambilla, A. Gatti, M. Bache, L. Lugiato, and P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

M. Avenhaus, K. Laiho, M. V. Chekhova, and C. Silberhorn, “Accessing higher order correlations in quantum optical states by time multiplexing,” Phys. Rev. Lett. 104, 063602 (2010).
[CrossRef]

T. J. Bartley, G. Donati, X.-M. Jin, A. Datta, M. Barbieri, and I. A. Walmsley, “Direct observation of sub-binomial light,” Phys. Rev. Lett. 110, 173602 (2013).
[CrossRef]

Other (4)

R. Loudon, The Quantum Theory of Light, 3rd ed. (Oxford Science, 2000).

A. Migdall, S. V. Polyakov, J. Fan, and J. C. Bienfang, Single-Photon Generation and Detection: Physics and Applications, 1st ed. (Academic, 2013) and references therein.

A. Allevi and M. Bondani, “Generation and detection of mesoscopic pulsed states of light for quantum information,” in Femtosecond-Scale Optics, A. V. Andreev, ed. (Intech, 2011), pp. 287–306.

A. Allevi, O. Jedrkiewicz, E. Brambilla, A. Gatti, J. Peřina, O. Haderka, and M. Bondani, “Coherence properties of high-gain twin beams generated in pump-depletion regime,” arXiv:1404.3843 (2014).

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Figures (7)

Fig. 1.
Fig. 1.

Sketch of the experimental setup. HWP: half-wave plate; PBS: polarizing cube beam splitter; BBO: nonlinear crystal; HR: high-reflecting UV mirror; M: UV mirror; L: lens; ND: removable neutral-density filters; F: colored glass filters; S1,2: spherical mirrors; G: grating; MF: multimode fiber (300 μm core diameter); HPD: hybrid photodetector; SGI: synchronous gated integrator; ADC+PC: analog-to-digital converter; CCD: CCD camera.

Fig. 2.
Fig. 2.

Typical pulse-height spectra of HPD photodetectors measuring multimode thermal light at different intensities. The bottom axis shows the natural output units (volts), while the top axis shows the unitary bins in which the data are rebinned.

Fig. 3.
Fig. 3.

Black dots: mean number of pump photons detected by an HPD on a portion of the pump beam light reflected beyond the BBO crystal, as a function of the pump mean power. Red line: fit of the first seven experimental data points to the function, m=aP, with a=(0.0618±0.0003). Magenta empty circles: mean number of pump photons obtained by integrating the images of the pump obtained with a CCD camera and suitably rescaled. See the text for details. The error bars are smaller than the symbol size.

Fig. 4.
Fig. 4.

Upper panels: contour plots of the spatial pump beam profiles for different values of the pump mean power; (a) 34.5 mW, (b) 45 mW, (c) 55.2 mW, and (d) 75.2 mW. Lower panels: corresponding detected-photon number distributions. The dots are experimental data, and the lines are Poissonian curves evaluated at the experimental mean values. The fidelity values are also shown.

Fig. 5.
Fig. 5.

Black dots: mean number of photons detected in the signal arm as a function of the pump mean power. Magenta empty circles: energy lost in the nonlinear interaction by the pump beam (see the text for details). Inset: first part of the data shown as black dots in the main figure that exhibit an exponential growth according to undepleted pump approximation (dots) and exponential fit (line). The error bars are smaller than the symbol size.

Fig. 6.
Fig. 6.

Examples of experimental detected-photon number distributions (dots), multimode thermal fit (full lines) and Poissonian fit (dashed lines). Inset: fidelity for the fit to a multimode thermal distribution (full dots) and fidelity for the fit to a Poissonian distribution (empty circles). The error bars are smaller than the symbol size.

Fig. 7.
Fig. 7.

Number of spatiospectral modes calculated from the statistics of the number of photons detected in the signal arm (full circles) and cooperativity parameter determined from g(2)-intensity autocorrelation function (empty circles). The error bars of μ are obtained as the uncertainties of the fit.

Equations (2)

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

pm=(m+μ1)!m!(μ1)!(m/μ+1)μ(μ/m+1)m,
g(2)=(1+1/K)+1/m.

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