Abstract

We experimentally demonstrate a new technique to control the type of frequency correlations of entangled photon pairs generated by spontaneous parametric downconversion. Frequency-correlated and frequency-anticorrelated photons are produced when a broadband pulse is used as a pump. The method is based on the control of the group velocities of the interacting waves and can be applied in any nonlinear medium and frequency band of interest.

© 2007 Optical Society of America

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  1. V. Giovannetti, S. Lloyd, and L. Maccone, Science 306, 1330 (2004).
    [CrossRef] [PubMed]
  2. T. Aichele, A. I. Lvovsky, and S. Schiller, Eur. Phys. J. D 18, 237 (2002).
  3. W. P. Grice, A. B. U'Ren, and I. A. Walmsley, Phys. Rev. A 64, 063815 (2001).
    [CrossRef]
  4. O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett. 94, 083601 (2005).
    [CrossRef] [PubMed]
  5. Z. D. Walton, M. C. Booth, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 67, 053810 (2003).
    [CrossRef]
  6. A. B. U'Ren, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comput. 3, 480 (2003).
  7. A. B. U'Ren, R. K. Erdmann, M. de la Cruz-Gutierrez, and I. A. Walmsley, Phys. Rev. Lett. 97, 223602 (2006).
    [CrossRef] [PubMed]
  8. J. P. Torres, F. Macià, S. Carrasco, and L. Torner, Opt. Lett. 30, 314 (2005).
    [CrossRef] [PubMed]
  9. O. E. Martínez, J. Opt. Soc. Am. B 3, 929 (1986).
    [CrossRef]
  10. J. P. Torres, S. Carrasco, L. Torner, and E. W. VanStryland, Opt. Lett. 25, 1735 (2000).
    [CrossRef]
  11. T. E. Keller and M. H. Rubin, Phys. Rev. A 56, 1534 (1997).
    [CrossRef]
  12. C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
    [CrossRef] [PubMed]
  13. J. P. Torres, M. W. Mitchell, and M. Hendrych, Phys. Rev. A 71, 022320 (2005).
    [CrossRef]
  14. M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
    [CrossRef] [PubMed]
  15. O. E. Martínez, IEEE J. Quantum Electron. 25, 2464 (1989).
    [CrossRef]
  16. P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, Phys. Rev. Lett. 81, 570 (1998).
    [CrossRef]
  17. X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
    [CrossRef]

2006 (1)

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

2005 (3)

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

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett. 94, 083601 (2005).
[CrossRef] [PubMed]

J. P. Torres, M. W. Mitchell, and M. Hendrych, Phys. Rev. A 71, 022320 (2005).
[CrossRef]

2004 (1)

V. Giovannetti, S. Lloyd, and L. Maccone, Science 306, 1330 (2004).
[CrossRef] [PubMed]

2003 (2)

Z. D. Walton, M. C. Booth, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 67, 053810 (2003).
[CrossRef]

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

2000 (1)

1999 (1)

X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

1998 (1)

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, Phys. Rev. Lett. 81, 570 (1998).
[CrossRef]

1997 (1)

T. E. Keller and M. H. Rubin, Phys. Rev. A 56, 1534 (1997).
[CrossRef]

1994 (1)

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

1989 (1)

O. E. Martínez, IEEE J. Quantum Electron. 25, 2464 (1989).
[CrossRef]

1987 (1)

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

1986 (1)

Aichele, T.

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

Albota, M. A.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett. 94, 083601 (2005).
[CrossRef] [PubMed]

Banaszek, K.

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

Booth, M. C.

Z. D. Walton, M. C. Booth, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 67, 053810 (2003).
[CrossRef]

Caironi, D.

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, Phys. Rev. Lett. 81, 570 (1998).
[CrossRef]

Carrasco, S.

Danielius, R.

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, Phys. Rev. Lett. 81, 570 (1998).
[CrossRef]

de la Cruz-Gutierrez, M.

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

Di Trapani, P.

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, Phys. Rev. Lett. 81, 570 (1998).
[CrossRef]

Dubietis, A.

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, Phys. Rev. Lett. 81, 570 (1998).
[CrossRef]

Erdmann, R. K.

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

Fiorentino, M.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett. 94, 083601 (2005).
[CrossRef] [PubMed]

Giovannetti, V.

V. Giovannetti, S. Lloyd, and L. Maccone, Science 306, 1330 (2004).
[CrossRef] [PubMed]

Grice, W. P.

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

Hendrych, M.

J. P. Torres, M. W. Mitchell, and M. Hendrych, Phys. Rev. A 71, 022320 (2005).
[CrossRef]

Hong, C. K.

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

Kärtner, F. X.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett. 94, 083601 (2005).
[CrossRef] [PubMed]

Keller, T. E.

T. E. Keller and M. H. Rubin, Phys. Rev. A 56, 1534 (1997).
[CrossRef]

Klyshko, D. N.

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Kuzucu, O.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett. 94, 083601 (2005).
[CrossRef] [PubMed]

Liu, X.

X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Lloyd, S.

V. Giovannetti, S. Lloyd, and L. Maccone, Science 306, 1330 (2004).
[CrossRef] [PubMed]

Lvovsky, A. I.

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

Maccone, L.

V. Giovannetti, S. Lloyd, and L. Maccone, Science 306, 1330 (2004).
[CrossRef] [PubMed]

Macià, F.

Mandel, L.

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

Martínez, O. E.

O. E. Martínez, IEEE J. Quantum Electron. 25, 2464 (1989).
[CrossRef]

O. E. Martínez, J. Opt. Soc. Am. B 3, 929 (1986).
[CrossRef]

Mitchell, M. W.

J. P. Torres, M. W. Mitchell, and M. Hendrych, Phys. Rev. A 71, 022320 (2005).
[CrossRef]

Ou, Z. Y.

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

Piskarskas, A.

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, Phys. Rev. Lett. 81, 570 (1998).
[CrossRef]

Qian, L. J.

X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Rubin, M. H.

T. E. Keller and M. H. Rubin, Phys. Rev. A 56, 1534 (1997).
[CrossRef]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Saleh, B. E. A.

Z. D. Walton, M. C. Booth, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 67, 053810 (2003).
[CrossRef]

Schiller, S.

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

Sergienko, A. V.

Z. D. Walton, M. C. Booth, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 67, 053810 (2003).
[CrossRef]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Shih, Y. H.

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

Teich, M. C.

Z. D. Walton, M. C. Booth, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 67, 053810 (2003).
[CrossRef]

Torner, L.

Torres, J. P.

U'Ren, A. B.

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

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

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

Valiulis, G.

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, Phys. Rev. Lett. 81, 570 (1998).
[CrossRef]

VanStryland, E. W.

Walmsley, I. A.

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

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

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

Walton, Z. D.

Z. D. Walton, M. C. Booth, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 67, 053810 (2003).
[CrossRef]

Wise, F. W.

X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Wong, F. N. C.

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett. 94, 083601 (2005).
[CrossRef] [PubMed]

Eur. Phys. J. D (1)

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

IEEE J. Quantum Electron. (1)

O. E. Martínez, IEEE J. Quantum Electron. 25, 2464 (1989).
[CrossRef]

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

Opt. Lett. (2)

Phys. Rev. A (5)

J. P. Torres, M. W. Mitchell, and M. Hendrych, Phys. Rev. A 71, 022320 (2005).
[CrossRef]

M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, Phys. Rev. A 50, 5122 (1994).
[CrossRef] [PubMed]

T. E. Keller and M. H. Rubin, Phys. Rev. A 56, 1534 (1997).
[CrossRef]

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

Z. D. Walton, M. C. Booth, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 67, 053810 (2003).
[CrossRef]

Phys. Rev. Lett. (5)

O. Kuzucu, M. Fiorentino, M. A. Albota, F. N. C. Wong, and F. X. Kärtner, Phys. Rev. Lett. 94, 083601 (2005).
[CrossRef] [PubMed]

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

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

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, Phys. Rev. Lett. 81, 570 (1998).
[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Quantum Inf. Comput. (1)

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

Science (1)

V. Giovannetti, S. Lloyd, and L. Maccone, Science 306, 1330 (2004).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Joint spectral intensity (theory) for (a) high frequency anticorrelation ( ϕ = 38.1 ° ) and (b) high frequency correlation ( ϕ = 51.9 ° ) .

Fig. 2
Fig. 2

Experimental setup. SHG , second harmonic generation; M, mirrors; Gr , gratings; CL , compensation line; BS , beamsplitter; P, polarizers; IF , interference filters; D, detectors; &, coincidence electronics.

Fig. 3
Fig. 3

Normalized number of coincidences and singles as a function of time delay in a HOM interferometer for three different values of the tilt angle ( ϕ ) . Circles, no pulse-front tilt ( ϕ = 0 ° ) ; squares, highly frequency-anticorrelated photons ( ϕ = 38.1 ° ) ; triangles, highly frequency-correlated photons ( ϕ = 51.9 ° ) ; black squares, singles counts. Solid curves are the theoretical prediction. The experimental points are raw data without any corrections for measurement noise.

Fig. 4
Fig. 4

Coincidence rate as a function of the polarizer angle θ b . (a) Squares: highly anticorrelated photons. Circles: no tilt. (b) Squares: highly correlated photons with θ a = 45 ° and triangles with θ a = 30 ° ; black curve: no tilt. Solid curves are sin 2 fits to the raw experimental data.

Equations (8)

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

Φ ( Ω s , Ω i ) = E p ( Ω s + Ω i ) sinc ( Δ k L 2 ) × exp ( i s k L 2 ) F ( Ω s ) F ( Ω i ) ,
ϕ = tan 1 { c ( N i N s ) tan ρ s tan ρ i } ,
S + ( Ω + ) = E p ( Ω + ) 2 sinc 2 ( D + L Ω + 2 ) F ( Ω + ) ,
S ( Ω ) = sinc 2 [ ( g s + g i ) L Ω 2 16 ] F ( Ω ) ,
ϕ = tan 1 { c ( 2 N p N s N i ) tan ρ s + tan ρ i 2 tan ρ p } ,
S + ( Ω + ) = E p ( Ω + ) 2 F ( Ω + ) ,
S ( Ω ) = sinc 2 [ ( u s u i ) L Ω 4 ] F ( Ω ) .
R ( τ ) = 1 2 [ 1 1 2 d Ω S 0 ( Ω ) exp ( i Ω τ ) ] ,

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