Abstract

We describe a new scheme to fully control the joint spectrum of paired photons generated in spontaneous parametric downconversion. We show the capability of this method to generate frequency-uncorrelated photon pairs that are pure and indistinguishable and whose bandwidth can be readily tuned. Importantly, the scheme we propose can be implemented in any nonlinear crystal and frequency band of interest.

© 2008 Optical Society of America

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References

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  1. I. A. Walmsley and M. G. Raymer, Science 307, 1733 (2005).
    [CrossRef] [PubMed]
  2. P. P. Rohde, G. J. Pryde, J. L. O'Brien, and T. C. Ralph, Phys. Rev. A 72, 032306 (2005).
    [CrossRef]
  3. B. Sanders, J. Vuckovic, and P. Grangier, Europhys. News 36, 56 (2005).
    [CrossRef]
  4. T. Aichele, A. I. Lvovsky, and S. Schiller, Eur. Phys. J. D 18, 237 (2002).
  5. M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, Phys. Rev. A 72, 023825 (2005).
    [CrossRef]
  6. J. S. Neergard-Nielsen, B. M. Nielsen, H. Takahashi, A. I. Vistnes, and E. S. Polzik, Opt. Express 15, 7940 (2007).
    [CrossRef]
  7. P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U'Ren, C. Silberhorn, and I. A. Walmsley, arXiv:0711.1054 (2007).
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    [CrossRef]
  9. A. B. U'Ren, R. K. Erdmann, M. Cruz-Gutierrez, and I. A. Walmsley, Phys. Rev. Lett. 97, 223602 (2006).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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  14. P. P. Rohde, T. C. Ralph, and M. A. Nielsen, Phys. Rev. A 72, 052332 (2005).
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  15. A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, Phys. Rev. Lett. 99, 243601 (2007).
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  16. M. Hendrych, M. Micuda, and J. P. Torres, Opt. Lett. 32, 2339 (2007).
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2007 (3)

2006 (1)

A. B. U'Ren, R. K. Erdmann, M. Cruz-Gutierrez, and I. A. Walmsley, Phys. Rev. Lett. 97, 223602 (2006).
[CrossRef] [PubMed]

2005 (6)

J. P. Torres, F. Macia, S. Carrasco, and L. Torner, Opt. Lett. 30, 314 (2005).
[CrossRef] [PubMed]

P. P. Rohde, T. C. Ralph, and M. A. Nielsen, Phys. Rev. A 72, 052332 (2005).
[CrossRef]

I. A. Walmsley and M. G. Raymer, Science 307, 1733 (2005).
[CrossRef] [PubMed]

P. P. Rohde, G. J. Pryde, J. L. O'Brien, and T. C. Ralph, Phys. Rev. A 72, 032306 (2005).
[CrossRef]

B. Sanders, J. Vuckovic, and P. Grangier, Europhys. News 36, 56 (2005).
[CrossRef]

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, Phys. Rev. A 72, 023825 (2005).
[CrossRef]

2004 (1)

S. Carrasco, J. P. Torres, L. Torner, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

2003 (2)

M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 91, 083601 (2003).
[CrossRef] [PubMed]

A. B. U'Ren, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comput. 3, 480 (2003).

2002 (1)

T. Aichele, A. I. Lvovsky, and S. Schiller, Eur. Phys. J. D 18, 237 (2002).

2001 (1)

W. Grice, A. B. U'Ren, and I. A. Walmsley, Phys. Rev. A 64, 063815 (2001).
[CrossRef]

Eur. Phys. J. D (1)

T. Aichele, A. I. Lvovsky, and S. Schiller, Eur. Phys. J. D 18, 237 (2002).

Europhys. News (1)

B. Sanders, J. Vuckovic, and P. Grangier, Europhys. News 36, 56 (2005).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. A (5)

P. P. Rohde, T. C. Ralph, and M. A. Nielsen, Phys. Rev. A 72, 052332 (2005).
[CrossRef]

M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, Phys. Rev. A 72, 023825 (2005).
[CrossRef]

P. P. Rohde, G. J. Pryde, J. L. O'Brien, and T. C. Ralph, Phys. Rev. A 72, 032306 (2005).
[CrossRef]

W. Grice, A. B. U'Ren, and I. A. Walmsley, Phys. Rev. A 64, 063815 (2001).
[CrossRef]

S. Carrasco, J. P. Torres, L. Torner, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 91, 083601 (2003).
[CrossRef] [PubMed]

A. B. U'Ren, R. K. Erdmann, M. Cruz-Gutierrez, and I. A. Walmsley, Phys. Rev. Lett. 97, 223602 (2006).
[CrossRef] [PubMed]

A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, Phys. Rev. Lett. 99, 243601 (2007).
[CrossRef]

Quantum Inf. Comput. (1)

A. B. U'Ren, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comput. 3, 480 (2003).

Science (1)

I. A. Walmsley and M. G. Raymer, Science 307, 1733 (2005).
[CrossRef] [PubMed]

Other (1)

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U'Ren, C. Silberhorn, and I. A. Walmsley, arXiv:0711.1054 (2007).

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Figures (3)

Fig. 1
Fig. 1

General scheme. Gr 1 and Gr 2 , gratings; D s and D i , single-photon counting modules; C.C., coincidence counter.

Fig. 2
Fig. 2

Bandwidth of the joint spectrum: (a) Δ Λ + as a function of the pulse-front-tilt-angle ξ. The dashed line indicates Δ Λ + ( max ) ; (b) Δ Λ as a function of the pump beam waist in the y direction, W 0 . Pump beam bandwidth, Δ λ p = 4 nm .

Fig. 3
Fig. 3

Joint spectrum of the two-photon state for different values of the pulse-front tilt ( ξ ) and the beam waist ( W 0 ) : (a) ξ = 0 ° , W 0 = 30 μ m ; (b) ξ = 0 ° , W 0 = 60 μ m ; (c) ξ = 0 ° , W 0 = 250 μ m ; (d) ξ = ξ 0 = 13.8 ° , W 0 = 30 μ m ; (e) ξ = ξ 0 = 13.8 ° , W 0 = 45 μ m ; (f) ξ = ξ 0 = 13.8 ° , W 0 = 250 μ m ; (g) ξ = 30 ° , W 0 = 30 μ m ; (h) ξ = 30 ° , W 0 = 140 μ m ; (i) ξ = 30 ° , W 0 = 250 μ m . The circular shape of the distributions shown in the central column indicates frequency uncorrelation between the photons with a different bandwidth.

Equations (5)

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Φ ( ω s , ω i ) E ω ( ω s + ω i ) E q [ ( k s k i ) sin φ ] × sinc ( Δ k L 2 ) exp { i Δ k L 2 } ,
S ( Λ s , Λ i ) = N exp { Λ + 2 2 Δ Λ + 2 } exp { Λ 2 2 Δ Λ 2 } ,
Δ Λ + = λ s 2 2 π c 1 2 [ 1 B p 2 + ( α L ) 2 ( N p N s cos φ ) 2 ] 1 2 ,
Δ Λ = λ s 2 2 π c 1 2 [ N s sin φ W 0 ] 1 .
ξ 0 = tan 1 { c ( N s cos φ N p ) tan ρ p } .

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