Abstract

We explore a promising method of generating pure heralded single photons. Our approach is based on parametric downconversion in a periodically-poled waveguide. However, unlike conventional downconversion sources, the photon pairs are counter-propagating: one travels with the pump beam in the forward direction while the other is backpropagating towards the laser source. Our calculations reveal that these downconverted two-photon states carry minimal spectral correlations within each photon-pair. This approach offers the possibility to employ a new range of downconversion processes and materials like PPLN (previously considered unsuitable due to its unfavorable phasematching properties) to produce heralded pure single photons over a broad frequency range.

© 2009 Optical Society of America

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  1. S. L. Braunstein and P. van Loock, "Quantum information with continuous variables," Rev. Mod. Phys. 77, 513-577 (2005).
    [CrossRef]
  2. T. C. Ralph, A. G. White, W. J. Munro, and G. J. Milburn, "Simple scheme for efficient linear optics quantum gates," Phys. Rev. A 65, 012314-012320 (2001).
    [CrossRef]
  3. P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A.Walmsley, "Heralded Generation of Ultrafast Single Photons in Pure Quantum States," Phys. Rev. Lett. 100, 133601-133605 (2008).
    [CrossRef] [PubMed]
  4. M. Fiorentino, S. M. Spillane, R. G. Beausoleil, T. D. Roberts, P. Battle, and M. W. Munro, "Spontaneous parametric down-conversion in periodically poled KTP waveguides and bulk crystals," Opt. Express 15, 7479-7488 (2007).
    [CrossRef] [PubMed]
  5. G. Di Giuseppe, M. Atatüre, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801-013818 (2002).
    [CrossRef]
  6. D. S. Hum and M. M. Fejer, "Quasi-phasematching," C. R. Phys. 8, 180-198 (2007).
    [CrossRef]
  7. W. P. Grice and I. A. Walmsley, "Spectral information and distinguishability in type-II down-conversion with a broadband pump," Phys. Rev. A 56, 1627-1634 (1997).
    [CrossRef]
  8. A. B. U’Ren, C. Silberhorn, R. Erdmann, K. Banaszek, W. P. Grice, I. A. Walmsley, and M. G. Raymer, "Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation based on Spontaneous Parametric Downconversion," Laser Phys. Lett. 15, 146-160 (2005).
  9. C. K. Law, I. A. Walmsley, and J. H. Eberly, "Continuous Frequency Entanglement: Effective Finite Hilbert Space and Entropy Control," Phys. Rev. Lett. 84, 5304-5307 (2000).
    [CrossRef] [PubMed]
  10. S. E. Harris, "Proposed backward wave oscillation in the infrared," Appl. Phys. Lett. 9, 114-116 (1966).
    [CrossRef]
  11. M. C. Booth, M. Atature, G. Di Giuseppe, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Counter-propagating entangled photons from a waveguide with periodic nonlinearity," Phys. Rev. A 66, 023815 (2002).
    [CrossRef]
  12. L. Lanco, S. Ducci, J.-P. Likforman, X. Marcadet, J. A.W. van Houwelingen, H. Zbinden, G. Leo, and V. Berger, "Semiconductor Waveguide Source of Counterpropagating Twin Photons," Phys. Rev. Lett. 97, 173901-173905 (2006).
    [CrossRef] [PubMed]
  13. M. Ravaro, Y. Seurin, S. Ducci, G. Leo, V. Berger, A. de Rossi, and G. Assanto, "Nonlinear AlGaAs waveguide for the generation of counterpropagating twin photons in the telecom range," J. Appl. Phys. 98, 063103-063109 (2005).
    [CrossRef]
  14. J. P. Jr., "Quantum properties of counterpropagating two-photon states generated in a planar waveguide," Phys. Rev. A 77, 013803-013817 (2008).
    [CrossRef]
  15. C. Canalias and V. Pasiskevicius, "Mirrorless optical parametric oscillator," Nat. Photonics 1, 459-462 (2007).
    [CrossRef]
  16. M. Minakata, M. Islam, S. Nagano, S. Yoneyama, T. Sugiyama, and H. Awano, "Nanometer size periodic domain inversion in LiNbO3 substrate using circular form full cover electrodes," Solid-State Electron. 50, 848-852 (2006).
    [CrossRef]
  17. A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, "Theory of spontaneous parametric downconversion from photonic crystals," Phys. Rev. A 70, 043810-043817 (2004).
    [CrossRef]
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  19. A. Christ, A. Eckstein, K. Laiho, T. Lauckner, P. J. Mosley, and C. Silberhorn, "Spatial to spectral mode mapping in waveguided PDC," to be published, (2009).

2008

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A.Walmsley, "Heralded Generation of Ultrafast Single Photons in Pure Quantum States," Phys. Rev. Lett. 100, 133601-133605 (2008).
[CrossRef] [PubMed]

J. P. Jr., "Quantum properties of counterpropagating two-photon states generated in a planar waveguide," Phys. Rev. A 77, 013803-013817 (2008).
[CrossRef]

2007

C. Canalias and V. Pasiskevicius, "Mirrorless optical parametric oscillator," Nat. Photonics 1, 459-462 (2007).
[CrossRef]

M. Fiorentino, S. M. Spillane, R. G. Beausoleil, T. D. Roberts, P. Battle, and M. W. Munro, "Spontaneous parametric down-conversion in periodically poled KTP waveguides and bulk crystals," Opt. Express 15, 7479-7488 (2007).
[CrossRef] [PubMed]

D. S. Hum and M. M. Fejer, "Quasi-phasematching," C. R. Phys. 8, 180-198 (2007).
[CrossRef]

2006

M. Minakata, M. Islam, S. Nagano, S. Yoneyama, T. Sugiyama, and H. Awano, "Nanometer size periodic domain inversion in LiNbO3 substrate using circular form full cover electrodes," Solid-State Electron. 50, 848-852 (2006).
[CrossRef]

L. Lanco, S. Ducci, J.-P. Likforman, X. Marcadet, J. A.W. van Houwelingen, H. Zbinden, G. Leo, and V. Berger, "Semiconductor Waveguide Source of Counterpropagating Twin Photons," Phys. Rev. Lett. 97, 173901-173905 (2006).
[CrossRef] [PubMed]

2005

M. Ravaro, Y. Seurin, S. Ducci, G. Leo, V. Berger, A. de Rossi, and G. Assanto, "Nonlinear AlGaAs waveguide for the generation of counterpropagating twin photons in the telecom range," J. Appl. Phys. 98, 063103-063109 (2005).
[CrossRef]

A. B. U’Ren, C. Silberhorn, R. Erdmann, K. Banaszek, W. P. Grice, I. A. Walmsley, and M. G. Raymer, "Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation based on Spontaneous Parametric Downconversion," Laser Phys. Lett. 15, 146-160 (2005).

S. L. Braunstein and P. van Loock, "Quantum information with continuous variables," Rev. Mod. Phys. 77, 513-577 (2005).
[CrossRef]

2004

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, "Theory of spontaneous parametric downconversion from photonic crystals," Phys. Rev. A 70, 043810-043817 (2004).
[CrossRef]

2002

M. C. Booth, M. Atature, G. Di Giuseppe, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Counter-propagating entangled photons from a waveguide with periodic nonlinearity," Phys. Rev. A 66, 023815 (2002).
[CrossRef]

G. Di Giuseppe, M. Atatüre, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801-013818 (2002).
[CrossRef]

2001

T. C. Ralph, A. G. White, W. J. Munro, and G. J. Milburn, "Simple scheme for efficient linear optics quantum gates," Phys. Rev. A 65, 012314-012320 (2001).
[CrossRef]

2000

C. K. Law, I. A. Walmsley, and J. H. Eberly, "Continuous Frequency Entanglement: Effective Finite Hilbert Space and Entropy Control," Phys. Rev. Lett. 84, 5304-5307 (2000).
[CrossRef] [PubMed]

1997

W. P. Grice and I. A. Walmsley, "Spectral information and distinguishability in type-II down-conversion with a broadband pump," Phys. Rev. A 56, 1627-1634 (1997).
[CrossRef]

1966

S. E. Harris, "Proposed backward wave oscillation in the infrared," Appl. Phys. Lett. 9, 114-116 (1966).
[CrossRef]

Assanto, G.

M. Ravaro, Y. Seurin, S. Ducci, G. Leo, V. Berger, A. de Rossi, and G. Assanto, "Nonlinear AlGaAs waveguide for the generation of counterpropagating twin photons in the telecom range," J. Appl. Phys. 98, 063103-063109 (2005).
[CrossRef]

Atature, M.

M. C. Booth, M. Atature, G. Di Giuseppe, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Counter-propagating entangled photons from a waveguide with periodic nonlinearity," Phys. Rev. A 66, 023815 (2002).
[CrossRef]

Atatüre, M.

G. Di Giuseppe, M. Atatüre, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801-013818 (2002).
[CrossRef]

Awano, H.

M. Minakata, M. Islam, S. Nagano, S. Yoneyama, T. Sugiyama, and H. Awano, "Nanometer size periodic domain inversion in LiNbO3 substrate using circular form full cover electrodes," Solid-State Electron. 50, 848-852 (2006).
[CrossRef]

Battle, P.

Beausoleil, R. G.

Berger, V.

L. Lanco, S. Ducci, J.-P. Likforman, X. Marcadet, J. A.W. van Houwelingen, H. Zbinden, G. Leo, and V. Berger, "Semiconductor Waveguide Source of Counterpropagating Twin Photons," Phys. Rev. Lett. 97, 173901-173905 (2006).
[CrossRef] [PubMed]

M. Ravaro, Y. Seurin, S. Ducci, G. Leo, V. Berger, A. de Rossi, and G. Assanto, "Nonlinear AlGaAs waveguide for the generation of counterpropagating twin photons in the telecom range," J. Appl. Phys. 98, 063103-063109 (2005).
[CrossRef]

Booth, M. C.

M. C. Booth, M. Atature, G. Di Giuseppe, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Counter-propagating entangled photons from a waveguide with periodic nonlinearity," Phys. Rev. A 66, 023815 (2002).
[CrossRef]

Braunstein, S. L.

S. L. Braunstein and P. van Loock, "Quantum information with continuous variables," Rev. Mod. Phys. 77, 513-577 (2005).
[CrossRef]

Canalias, C.

C. Canalias and V. Pasiskevicius, "Mirrorless optical parametric oscillator," Nat. Photonics 1, 459-462 (2007).
[CrossRef]

de Rossi, A.

M. Ravaro, Y. Seurin, S. Ducci, G. Leo, V. Berger, A. de Rossi, and G. Assanto, "Nonlinear AlGaAs waveguide for the generation of counterpropagating twin photons in the telecom range," J. Appl. Phys. 98, 063103-063109 (2005).
[CrossRef]

Di Giuseppe, G.

G. Di Giuseppe, M. Atatüre, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801-013818 (2002).
[CrossRef]

M. C. Booth, M. Atature, G. Di Giuseppe, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Counter-propagating entangled photons from a waveguide with periodic nonlinearity," Phys. Rev. A 66, 023815 (2002).
[CrossRef]

Ducci, S.

L. Lanco, S. Ducci, J.-P. Likforman, X. Marcadet, J. A.W. van Houwelingen, H. Zbinden, G. Leo, and V. Berger, "Semiconductor Waveguide Source of Counterpropagating Twin Photons," Phys. Rev. Lett. 97, 173901-173905 (2006).
[CrossRef] [PubMed]

M. Ravaro, Y. Seurin, S. Ducci, G. Leo, V. Berger, A. de Rossi, and G. Assanto, "Nonlinear AlGaAs waveguide for the generation of counterpropagating twin photons in the telecom range," J. Appl. Phys. 98, 063103-063109 (2005).
[CrossRef]

Eberly, J. H.

C. K. Law, I. A. Walmsley, and J. H. Eberly, "Continuous Frequency Entanglement: Effective Finite Hilbert Space and Entropy Control," Phys. Rev. Lett. 84, 5304-5307 (2000).
[CrossRef] [PubMed]

Fejer, M. M.

D. S. Hum and M. M. Fejer, "Quasi-phasematching," C. R. Phys. 8, 180-198 (2007).
[CrossRef]

Fiorentino, M.

Grice, W. P.

W. P. Grice and I. A. Walmsley, "Spectral information and distinguishability in type-II down-conversion with a broadband pump," Phys. Rev. A 56, 1627-1634 (1997).
[CrossRef]

Harris, S. E.

S. E. Harris, "Proposed backward wave oscillation in the infrared," Appl. Phys. Lett. 9, 114-116 (1966).
[CrossRef]

Hum, D. S.

D. S. Hum and M. M. Fejer, "Quasi-phasematching," C. R. Phys. 8, 180-198 (2007).
[CrossRef]

Islam, M.

M. Minakata, M. Islam, S. Nagano, S. Yoneyama, T. Sugiyama, and H. Awano, "Nanometer size periodic domain inversion in LiNbO3 substrate using circular form full cover electrodes," Solid-State Electron. 50, 848-852 (2006).
[CrossRef]

Jr, J. P.

J. P. Jr., "Quantum properties of counterpropagating two-photon states generated in a planar waveguide," Phys. Rev. A 77, 013803-013817 (2008).
[CrossRef]

Lanco, L.

L. Lanco, S. Ducci, J.-P. Likforman, X. Marcadet, J. A.W. van Houwelingen, H. Zbinden, G. Leo, and V. Berger, "Semiconductor Waveguide Source of Counterpropagating Twin Photons," Phys. Rev. Lett. 97, 173901-173905 (2006).
[CrossRef] [PubMed]

Law, C. K.

C. K. Law, I. A. Walmsley, and J. H. Eberly, "Continuous Frequency Entanglement: Effective Finite Hilbert Space and Entropy Control," Phys. Rev. Lett. 84, 5304-5307 (2000).
[CrossRef] [PubMed]

Leo, G.

L. Lanco, S. Ducci, J.-P. Likforman, X. Marcadet, J. A.W. van Houwelingen, H. Zbinden, G. Leo, and V. Berger, "Semiconductor Waveguide Source of Counterpropagating Twin Photons," Phys. Rev. Lett. 97, 173901-173905 (2006).
[CrossRef] [PubMed]

M. Ravaro, Y. Seurin, S. Ducci, G. Leo, V. Berger, A. de Rossi, and G. Assanto, "Nonlinear AlGaAs waveguide for the generation of counterpropagating twin photons in the telecom range," J. Appl. Phys. 98, 063103-063109 (2005).
[CrossRef]

Likforman, J.-P.

L. Lanco, S. Ducci, J.-P. Likforman, X. Marcadet, J. A.W. van Houwelingen, H. Zbinden, G. Leo, and V. Berger, "Semiconductor Waveguide Source of Counterpropagating Twin Photons," Phys. Rev. Lett. 97, 173901-173905 (2006).
[CrossRef] [PubMed]

Lundeen, J. S.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A.Walmsley, "Heralded Generation of Ultrafast Single Photons in Pure Quantum States," Phys. Rev. Lett. 100, 133601-133605 (2008).
[CrossRef] [PubMed]

Marcadet, X.

L. Lanco, S. Ducci, J.-P. Likforman, X. Marcadet, J. A.W. van Houwelingen, H. Zbinden, G. Leo, and V. Berger, "Semiconductor Waveguide Source of Counterpropagating Twin Photons," Phys. Rev. Lett. 97, 173901-173905 (2006).
[CrossRef] [PubMed]

Milburn, G. J.

T. C. Ralph, A. G. White, W. J. Munro, and G. J. Milburn, "Simple scheme for efficient linear optics quantum gates," Phys. Rev. A 65, 012314-012320 (2001).
[CrossRef]

Minakata, M.

M. Minakata, M. Islam, S. Nagano, S. Yoneyama, T. Sugiyama, and H. Awano, "Nanometer size periodic domain inversion in LiNbO3 substrate using circular form full cover electrodes," Solid-State Electron. 50, 848-852 (2006).
[CrossRef]

Mosley, P. J.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A.Walmsley, "Heralded Generation of Ultrafast Single Photons in Pure Quantum States," Phys. Rev. Lett. 100, 133601-133605 (2008).
[CrossRef] [PubMed]

Munro, M. W.

Munro, W. J.

T. C. Ralph, A. G. White, W. J. Munro, and G. J. Milburn, "Simple scheme for efficient linear optics quantum gates," Phys. Rev. A 65, 012314-012320 (2001).
[CrossRef]

Nagano, S.

M. Minakata, M. Islam, S. Nagano, S. Yoneyama, T. Sugiyama, and H. Awano, "Nanometer size periodic domain inversion in LiNbO3 substrate using circular form full cover electrodes," Solid-State Electron. 50, 848-852 (2006).
[CrossRef]

Pasiskevicius, V.

C. Canalias and V. Pasiskevicius, "Mirrorless optical parametric oscillator," Nat. Photonics 1, 459-462 (2007).
[CrossRef]

Ralph, T. C.

T. C. Ralph, A. G. White, W. J. Munro, and G. J. Milburn, "Simple scheme for efficient linear optics quantum gates," Phys. Rev. A 65, 012314-012320 (2001).
[CrossRef]

Ravaro, M.

M. Ravaro, Y. Seurin, S. Ducci, G. Leo, V. Berger, A. de Rossi, and G. Assanto, "Nonlinear AlGaAs waveguide for the generation of counterpropagating twin photons in the telecom range," J. Appl. Phys. 98, 063103-063109 (2005).
[CrossRef]

Roberts, T. D.

Saleh, B. E. A.

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, "Theory of spontaneous parametric downconversion from photonic crystals," Phys. Rev. A 70, 043810-043817 (2004).
[CrossRef]

M. C. Booth, M. Atature, G. Di Giuseppe, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Counter-propagating entangled photons from a waveguide with periodic nonlinearity," Phys. Rev. A 66, 023815 (2002).
[CrossRef]

G. Di Giuseppe, M. Atatüre, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801-013818 (2002).
[CrossRef]

Sergienko, A. V.

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, "Theory of spontaneous parametric downconversion from photonic crystals," Phys. Rev. A 70, 043810-043817 (2004).
[CrossRef]

G. Di Giuseppe, M. Atatüre, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801-013818 (2002).
[CrossRef]

M. C. Booth, M. Atature, G. Di Giuseppe, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Counter-propagating entangled photons from a waveguide with periodic nonlinearity," Phys. Rev. A 66, 023815 (2002).
[CrossRef]

Seurin, Y.

M. Ravaro, Y. Seurin, S. Ducci, G. Leo, V. Berger, A. de Rossi, and G. Assanto, "Nonlinear AlGaAs waveguide for the generation of counterpropagating twin photons in the telecom range," J. Appl. Phys. 98, 063103-063109 (2005).
[CrossRef]

Shaw, M. D.

G. Di Giuseppe, M. Atatüre, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801-013818 (2002).
[CrossRef]

Smith, B. J.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A.Walmsley, "Heralded Generation of Ultrafast Single Photons in Pure Quantum States," Phys. Rev. Lett. 100, 133601-133605 (2008).
[CrossRef] [PubMed]

Spillane, S. M.

Sugiyama, T.

M. Minakata, M. Islam, S. Nagano, S. Yoneyama, T. Sugiyama, and H. Awano, "Nanometer size periodic domain inversion in LiNbO3 substrate using circular form full cover electrodes," Solid-State Electron. 50, 848-852 (2006).
[CrossRef]

Teich, M. C.

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, "Theory of spontaneous parametric downconversion from photonic crystals," Phys. Rev. A 70, 043810-043817 (2004).
[CrossRef]

G. Di Giuseppe, M. Atatüre, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Entangled photon generation from parametric down-conversion in media with inhomogeneous nonlinearity," Phys. Rev. A 66, 013801-013818 (2002).
[CrossRef]

M. C. Booth, M. Atature, G. Di Giuseppe, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, "Counter-propagating entangled photons from a waveguide with periodic nonlinearity," Phys. Rev. A 66, 023815 (2002).
[CrossRef]

Vamivakas, A. N.

A. N. Vamivakas, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, "Theory of spontaneous parametric downconversion from photonic crystals," Phys. Rev. A 70, 043810-043817 (2004).
[CrossRef]

van Houwelingen, J. A.W.

L. Lanco, S. Ducci, J.-P. Likforman, X. Marcadet, J. A.W. van Houwelingen, H. Zbinden, G. Leo, and V. Berger, "Semiconductor Waveguide Source of Counterpropagating Twin Photons," Phys. Rev. Lett. 97, 173901-173905 (2006).
[CrossRef] [PubMed]

van Loock, P.

S. L. Braunstein and P. van Loock, "Quantum information with continuous variables," Rev. Mod. Phys. 77, 513-577 (2005).
[CrossRef]

Walmsley, I. A.

C. K. Law, I. A. Walmsley, and J. H. Eberly, "Continuous Frequency Entanglement: Effective Finite Hilbert Space and Entropy Control," Phys. Rev. Lett. 84, 5304-5307 (2000).
[CrossRef] [PubMed]

W. P. Grice and I. A. Walmsley, "Spectral information and distinguishability in type-II down-conversion with a broadband pump," Phys. Rev. A 56, 1627-1634 (1997).
[CrossRef]

Wasylczyk, P.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A.Walmsley, "Heralded Generation of Ultrafast Single Photons in Pure Quantum States," Phys. Rev. Lett. 100, 133601-133605 (2008).
[CrossRef] [PubMed]

White, A. G.

T. C. Ralph, A. G. White, W. J. Munro, and G. J. Milburn, "Simple scheme for efficient linear optics quantum gates," Phys. Rev. A 65, 012314-012320 (2001).
[CrossRef]

Yoneyama, S.

M. Minakata, M. Islam, S. Nagano, S. Yoneyama, T. Sugiyama, and H. Awano, "Nanometer size periodic domain inversion in LiNbO3 substrate using circular form full cover electrodes," Solid-State Electron. 50, 848-852 (2006).
[CrossRef]

Zbinden, H.

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Figures (3)

Fig. 1.
Fig. 1.

Waveguided parametric downconversion with one backward-wave oscillation: (a) Process scheme, (b) Energy conservation, (c) Momentum conservation.

Fig. 2.
Fig. 2.

Pump envelope, Phasematching function and JSA plotted in the Gaussian approximation without phase; Parameters: LN, type-I PDC, e-polarized rays, pump central wavelength λp = 775 nm, FWHM of the pump intensity distribution Δλp = 0.58 nm, waveguide dimensions: 4 μm × 4 μm × 5 mm, grating period Λ = 0.35 μm.

Fig. 3.
Fig. 3.

(a) In counterpropagating PDC it is possible to generate separable degenerate signal and idler photons in the range from 800 to 1600 nm. (b) The separability is maintained for nondegenerate PDC (λi = 1550 nm).

Equations (5)

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ψ s , i 0 + A d ω s d ω i exp [ ( ω s + ω i ω p ) 2 2 σ 2 ] α ( ω s + ω i ) sinc ( L 2 Δk ) exp [ l L 2 Δk ] ϕ ( ω s + ω i ) a ̂ s ( ω s ) a ̂ i ( ω i ) 0
ψ s , i ( ω s + ω i ) = n λ n ψ s n ( ω s ) ψ s n ( ω i )
Δ k = k p k s + k i 2 π / Λ .
0 = 2 σ 2 + ( k p + k s ) ( k p + k i ) = 2 σ 2 + ( 1 v p 1 v s ) ( 1 v p + 1 v i ) .
θ = arctan [ k p k s k p + k i ] = arctan [ v s v p v i + v p v i v s ]

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