Abstract

We put forward a new method to control the spectra of photon pairs generated in parametric downconversion that allows their spectral properties to be tuned from correlation to anticorrelation, including uncorrelation. The method employs tilted pulses and can be implemented in materials and frequency bands for which conventional methods do not hold.

© 2005 Optical Society of America

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  1. C. K. Law, I. A. Walmsley, and J. H. Eberly, Phys. Rev. Lett. 84, 5304 (2000).
    [CrossRef] [PubMed]
  2. V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
    [CrossRef] [PubMed]
  3. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
    [CrossRef]
  4. M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 91, 083601 (2003).
    [CrossRef]
  5. W. P. Grice, A. B. U’Ruen, and I. A. Walmsley, Phys. Rev. A 64, 063815 (2001).
    [CrossRef]
  6. T. E. Keller and M. H. Rubin, Phys. Rev. A 56, 1534 (1997).
    [CrossRef]
  7. W. P. Grice and I. A. Walmsley, Phys. Rev. A 56, 1627 (1997).
    [CrossRef]
  8. R. Erdmann, D. Branning, W. Grice, and I. A. Walmsley, Phys. Rev. A 62, 053810 (2000).
    [CrossRef]
  9. V. Giovannetti, L. Maccone, J. H. Shapiro, and F. N. Wong, Phys. Rev. Lett. 88, 183602 (2002).
    [CrossRef]
  10. A. B. U’Ruen, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comp. 3, 480 (2003).
  11. Z. D. Walton, M. C. Booth, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 67, 053810 (2003).
    [CrossRef]
  12. S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
    [CrossRef]
  13. V. D. Volosov, S. G. Karpenko, N. E. Kornienko, and V. L. Strizhevskii, Sov. J. Quantum Electron. 4, 1090 (1975).
    [CrossRef]
  14. O. E. Martinez, IEEE J. Quantum Electron. 25, 2464 (1989).
    [CrossRef]
  15. G. Szab and Z. Bor, Appl. Phys. B 50, 51 (1990).
    [CrossRef]
  16. A. Dubietis, G. Valiulis, G. Tomosaukas, R. Danielius, and A. Paskarkas, Opt. Lett. 22, 1071 (1997).
    [CrossRef] [PubMed]
  17. J. P. Torres, S. Carrasco, L. Torner, and E. W. Van Stryland, Opt. Lett. 25, 1735 (2000).
    [CrossRef]
  18. S. Parker, S. Bose, and M. B. Plenio, Phys. Rev. A 61, 032305 (2000).
    [CrossRef]
  19. C. H. Bennett, H. J. Herbert, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
    [CrossRef] [PubMed]

2004 (1)

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

2003 (3)

A. B. U’Ruen, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comp. 3, 480 (2003).

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

2002 (2)

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

V. Giovannetti, L. Maccone, J. H. Shapiro, and F. N. Wong, Phys. Rev. Lett. 88, 183602 (2002).
[CrossRef]

2001 (2)

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef] [PubMed]

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

2000 (4)

C. K. Law, I. A. Walmsley, and J. H. Eberly, Phys. Rev. Lett. 84, 5304 (2000).
[CrossRef] [PubMed]

R. Erdmann, D. Branning, W. Grice, and I. A. Walmsley, Phys. Rev. A 62, 053810 (2000).
[CrossRef]

S. Parker, S. Bose, and M. B. Plenio, Phys. Rev. A 61, 032305 (2000).
[CrossRef]

J. P. Torres, S. Carrasco, L. Torner, and E. W. Van Stryland, Opt. Lett. 25, 1735 (2000).
[CrossRef]

1997 (3)

A. Dubietis, G. Valiulis, G. Tomosaukas, R. Danielius, and A. Paskarkas, Opt. Lett. 22, 1071 (1997).
[CrossRef] [PubMed]

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

W. P. Grice and I. A. Walmsley, Phys. Rev. A 56, 1627 (1997).
[CrossRef]

1996 (1)

C. H. Bennett, H. J. Herbert, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
[CrossRef] [PubMed]

1990 (1)

G. Szab and Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

1989 (1)

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

1975 (1)

V. D. Volosov, S. G. Karpenko, N. E. Kornienko, and V. L. Strizhevskii, Sov. J. Quantum Electron. 4, 1090 (1975).
[CrossRef]

Banaszek, K.

A. B. U’Ruen, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comp. 3, 480 (2003).

Bennett, C. H.

C. H. Bennett, H. J. Herbert, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
[CrossRef] [PubMed]

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]

Bor, Z.

G. Szab and Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

Bose, S.

S. Parker, S. Bose, and M. B. Plenio, Phys. Rev. A 61, 032305 (2000).
[CrossRef]

Branning, D.

R. Erdmann, D. Branning, W. Grice, and I. A. Walmsley, Phys. Rev. A 62, 053810 (2000).
[CrossRef]

Carrasco, S.

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

J. P. Torres, S. Carrasco, L. Torner, and E. W. Van Stryland, Opt. Lett. 25, 1735 (2000).
[CrossRef]

Danielius, R.

Dubietis, A.

Eberly, J. H.

C. K. Law, I. A. Walmsley, and J. H. Eberly, Phys. Rev. Lett. 84, 5304 (2000).
[CrossRef] [PubMed]

Erdmann, R.

R. Erdmann, D. Branning, W. Grice, and I. A. Walmsley, Phys. Rev. A 62, 053810 (2000).
[CrossRef]

Giovannetti, V.

V. Giovannetti, L. Maccone, J. H. Shapiro, and F. N. Wong, Phys. Rev. Lett. 88, 183602 (2002).
[CrossRef]

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef] [PubMed]

Gisin, N.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Grice, W.

R. Erdmann, D. Branning, W. Grice, and I. A. Walmsley, Phys. Rev. A 62, 053810 (2000).
[CrossRef]

Grice, W. P.

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

W. P. Grice and I. A. Walmsley, Phys. Rev. A 56, 1627 (1997).
[CrossRef]

Herbert, H. J.

C. H. Bennett, H. J. Herbert, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
[CrossRef] [PubMed]

Karpenko, S. G.

V. D. Volosov, S. G. Karpenko, N. E. Kornienko, and V. L. Strizhevskii, Sov. J. Quantum Electron. 4, 1090 (1975).
[CrossRef]

Keller, T. E.

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

Kornienko, N. E.

V. D. Volosov, S. G. Karpenko, N. E. Kornienko, and V. L. Strizhevskii, Sov. J. Quantum Electron. 4, 1090 (1975).
[CrossRef]

Law, C. K.

C. K. Law, I. A. Walmsley, and J. H. Eberly, Phys. Rev. Lett. 84, 5304 (2000).
[CrossRef] [PubMed]

Lloyd, S.

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef] [PubMed]

Maccone, L.

V. Giovannetti, L. Maccone, J. H. Shapiro, and F. N. Wong, Phys. Rev. Lett. 88, 183602 (2002).
[CrossRef]

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef] [PubMed]

Martinez, O. E.

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

Nasr, M. B.

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

Parker, S.

S. Parker, S. Bose, and M. B. Plenio, Phys. Rev. A 61, 032305 (2000).
[CrossRef]

Paskarkas, A.

Plenio, M. B.

S. Parker, S. Bose, and M. B. Plenio, Phys. Rev. A 61, 032305 (2000).
[CrossRef]

Popescu, S.

C. H. Bennett, H. J. Herbert, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
[CrossRef] [PubMed]

Ribordy, G.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Rubin, M. H.

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

Saleh, B. E. A.

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

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

Schumacher, B.

C. H. Bennett, H. J. Herbert, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
[CrossRef] [PubMed]

Sergienko, A.

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

Sergienko, A. V.

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

Shapiro, J. H.

V. Giovannetti, L. Maccone, J. H. Shapiro, and F. N. Wong, Phys. Rev. Lett. 88, 183602 (2002).
[CrossRef]

Strizhevskii, V. L.

V. D. Volosov, S. G. Karpenko, N. E. Kornienko, and V. L. Strizhevskii, Sov. J. Quantum Electron. 4, 1090 (1975).
[CrossRef]

Szab, G.

G. Szab and Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

Teich, M. C.

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

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

Tittel, W.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Tomosaukas, G.

Torner, L.

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

J. P. Torres, S. Carrasco, L. Torner, and E. W. Van Stryland, Opt. Lett. 25, 1735 (2000).
[CrossRef]

Torres, J. P.

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

J. P. Torres, S. Carrasco, L. Torner, and E. W. Van Stryland, Opt. Lett. 25, 1735 (2000).
[CrossRef]

U’Ruen, A. B.

A. B. U’Ruen, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comp. 3, 480 (2003).

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

Valiulis, G.

Van Stryland, E. W.

Volosov, V. D.

V. D. Volosov, S. G. Karpenko, N. E. Kornienko, and V. L. Strizhevskii, Sov. J. Quantum Electron. 4, 1090 (1975).
[CrossRef]

Walmsley, I. A.

A. B. U’Ruen, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comp. 3, 480 (2003).

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

C. K. Law, I. A. Walmsley, and J. H. Eberly, Phys. Rev. Lett. 84, 5304 (2000).
[CrossRef] [PubMed]

R. Erdmann, D. Branning, W. Grice, and I. A. Walmsley, Phys. Rev. A 62, 053810 (2000).
[CrossRef]

W. P. Grice and I. A. Walmsley, Phys. Rev. A 56, 1627 (1997).
[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]

Wong, F. N.

V. Giovannetti, L. Maccone, J. H. Shapiro, and F. N. Wong, Phys. Rev. Lett. 88, 183602 (2002).
[CrossRef]

Zbinden, H.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Appl. Phys. B (1)

G. Szab and Z. Bor, Appl. Phys. B 50, 51 (1990).
[CrossRef]

IEEE J. Quantum Electron. (1)

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

Nature (1)

V. Giovannetti, S. Lloyd, and L. Maccone, Nature 412, 417 (2001).
[CrossRef] [PubMed]

Opt. Lett. (2)

Phys. Rev. A (8)

S. Parker, S. Bose, and M. B. Plenio, Phys. Rev. A 61, 032305 (2000).
[CrossRef]

C. H. Bennett, H. J. Herbert, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
[CrossRef] [PubMed]

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

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

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

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

W. P. Grice and I. A. Walmsley, Phys. Rev. A 56, 1627 (1997).
[CrossRef]

R. Erdmann, D. Branning, W. Grice, and I. A. Walmsley, Phys. Rev. A 62, 053810 (2000).
[CrossRef]

Phys. Rev. Lett. (3)

V. Giovannetti, L. Maccone, J. H. Shapiro, and F. N. Wong, Phys. Rev. Lett. 88, 183602 (2002).
[CrossRef]

C. K. Law, I. A. Walmsley, and J. H. Eberly, Phys. Rev. Lett. 84, 5304 (2000).
[CrossRef] [PubMed]

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

Quantum Inf. Comp. (1)

A. B. U’Ruen, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comp. 3, 480 (2003).

Rev. Mod. Phys. (1)

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Sov. J. Quantum Electron. (1)

V. D. Volosov, S. G. Karpenko, N. E. Kornienko, and V. L. Strizhevskii, Sov. J. Quantum Electron. 4, 1090 (1975).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Illustrative examples of the joint spectral intensity and the phase-matching function for degenerate type II downconversion under typical conditions. (a), (c), (e) Intensities of the phase-matching function; (b), (d), (f) joint spectral intensities. (a), (b) φ=39.6°; (c), (d) φ=-53.2°; (e), (f) φ=0°. Inset, numerical value of the entropy of entanglement as well as eigenvalues of the Schmidt decomposition of the corresponding state function. Angular frequency plotted in terahertz. Calculations were made for a BBO nonlinear crystal with length L=3 mm. T0=100 fs, λp0=400 nm, λs0=λi0=800 nm, Δλ0=10 nm.

Fig. 2
Fig. 2

Entropy of entanglement as a function of the tilt angle. Solid curve, L=3 mm; dashed curve, L=1.5 mm. Tilt angle is given in degrees. Inset, eigenvalues of the Schmidt decomposition and joint spectral intensity when the downconverted photons are nearly uncorrelated φ=-19.3°. Calculations made with the same parameters as for Fig. 1.

Equations (3)

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

Φωs,ωi,p,q=E0ωp,p+q×WΔkL/2FsωsFiωi,
Δk=kpωp,p¯x+q¯x,py+qy+p¯x+q¯x×tan ρ0-ksωs,p¯x,py-p¯x tan ρ1-kiωi,q¯x,qy,
ΩiΩs=-Np+tan φ tan ρ0/c-Ns-tan φ tan ρ1/cNp+tan φ tan ρ0/c-Ni,

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