Abstract

We test two-dimensional TPSA of biphoton light emitted via ultrafast spontaneous parametric down-conversion (SPDC) using the effect of group-velocity dispersion in optical fibres. Further, we apply this technique to demonstrate the engineering of biphoton spectral properties by acting on the pump pulse shape.

©2010 Optical Society of America

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  1. 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 (1997).
    [Crossref]
  2. T. E. Keller and M. H. Rubin, “Theory of two-photon entanglement for spontaneous parametric down-conversion driven by a narrow pump pulse”, Phys. Rev. A 56, 1534–1541 (1997).
    [Crossref]
  3. M. V. Fedorov, M. A. Efremov, A. E. Kazakov, K. W. Chan, C. K. Law, and J. H. Eberly, “Packet narrowing and quantum entanglement in photoionization and photodissociation”, Phys. Rev. A 69, 052117 (2004).
    [Crossref]
  4. Yu. M. Mikhailova, P. A. Volkov, and M. V. Fedorov, “Biphoton wave packets in parametric down-conversion: Spectral and temporal structure and degree of entanglement”, Phys. Rev. A 78, 062327 (2008).
    [Crossref]
  5. P. A. Volkov, Yu. M. Mikhailova, and M. V. Fedorov, “Spectral Entanglement in Parametric Down-Conversion with Nondegenerate Frequencies”, Advanced Science Letters 2, 511 (2009).
    [Crossref]
  6. G. Brida, V. Caricato, M. V. Fedorov, M. Genovese, M. Gramegna, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons in femtosecond pulsed regime”, EPL 87, 64003 (2009).
    [Crossref]
  7. 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 (2008).
    [Crossref] [PubMed]
  8. Y.-H. Kim and W. P. Grice, “Measurement of the spectral properties of the two-photon state generated via type II spontaneous parametric downconversion”, Opt. Lett. 30, 908 (2005).
    [Crossref] [PubMed]
  9. W. Wasilewski, P. Wasylczyk, P. Kelenderski, K. Banasek, and C. Radzewicz, “Joint spectrum of photon pairs measured by coincidence Fourier spectroscopy”, Opt. Lett. 31, 1130 (2006).
    [Crossref] [PubMed]
  10. H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, and C. Kurtsiefer, “Joint spectrum mapping of polarization entanglement in spontaneous parametric down-conversion”, Phys. Rev. A 75, 043816 (2007).
    [Crossref]
  11. X. Shi, et al., “Generation of indistinguishable and pure heralded single photons with tunable bandwidth”, Optics Letters 33, 875 (2008).
    [Crossref] [PubMed]
  12. A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping theWaveform of Entangled Photons”, PRL 99, 243601 (2007).
    [Crossref]
  13. M. Hendrych, X. Shi, A. Valencia, and J. P. Torres, “Broadening the bandwidth of entangled photons: A step towards the generation of extremely short biphotons”, Phys. Rev. A 79, 023817 (2009).
    [Crossref]
  14. A. Valencia, M. V. Chekhova, A. S. Trifono, and Y. H. Shih, “Entangled Two-PhotonWave Packet in a Dispersive Medium”, Phys. Rev. Lett. 88, 183601 (2002).
    [Crossref] [PubMed]
  15. M. V. Chekhova, “Two-Photon Spectron”, JETP Lett.,  75, 225–226 (2002).
    [Crossref]
  16. G. Brida, M. V. Chekhova, M. Genovese, M. Gramegna, and L. A. Krivitsky, “Dispersion Spreading of Biphotons in Optical Fibers and Two-Photon Interference”, Phys. Rev. Lett. 96, 143601 (2006).
    [Crossref] [PubMed]
  17. G. Brida, M. V. Chekhova, M. Genovese, and L. Krivitsky, “Generation of different Bell states within the spontaneous parametric down-conversion phase-matching bandwidth”, Phys. Rev. A 76, 053807 (2007).
    [Crossref]
  18. M. Avenhaus, A. Eckstein, P. J. Mosley, and C. Silberhorn, “Fiber-assisted single-photon spectrograph”, Opt. Lett. 34, 2873 (2009).
    [Crossref] [PubMed]
  19. S. Y. Baek, O. Kwon, and Y.-H. Kim, “Nonlocal dispersion control of a single-photon waveform”, Phys. Rev. A 78, 013816 (2008).
    [Crossref]
  20. We denote the Fourier transform of TPSA by the same letter, F, with a tilde.
  21. N. C. Menicucci, S. T. Flammia, and O. Pfister, “Ultracompact generation of continuous-variable cluster states”, Phys. Rev. A76010302 (2007); “One-Way Quantum Computing in the Optical Frequency Comb”, Phys. Rev. Lett. 101 130501 (2008).
    [Crossref]
  22. Y.-H. Kim, M. V. Chekhova, S. P. Kulik, Y.-H. Shih, and M. H. Rubin, “First-order interference of nonclassical light emitted spontaneously at different times”, Phys. Rev. A 61, 051803(R) (2000).
    [Crossref]
  23. J. K. Ranka, R. S. Windeler, and A. J. Stentz, “Visible continuum generation in air-silica microstructure optical fibers with anomalous dispersion at 800 nm”, Opt. Lett. 25, 25 (2000).
    [Crossref]
  24. M. Genovese, “Research on hidden variable theories: A review of recent progresses”, Phys. Rep. 413, 319 (2005).
    [Crossref]

2009 (4)

P. A. Volkov, Yu. M. Mikhailova, and M. V. Fedorov, “Spectral Entanglement in Parametric Down-Conversion with Nondegenerate Frequencies”, Advanced Science Letters 2, 511 (2009).
[Crossref]

G. Brida, V. Caricato, M. V. Fedorov, M. Genovese, M. Gramegna, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons in femtosecond pulsed regime”, EPL 87, 64003 (2009).
[Crossref]

M. Hendrych, X. Shi, A. Valencia, and J. P. Torres, “Broadening the bandwidth of entangled photons: A step towards the generation of extremely short biphotons”, Phys. Rev. A 79, 023817 (2009).
[Crossref]

M. Avenhaus, A. Eckstein, P. J. Mosley, and C. Silberhorn, “Fiber-assisted single-photon spectrograph”, Opt. Lett. 34, 2873 (2009).
[Crossref] [PubMed]

2008 (4)

X. Shi, et al., “Generation of indistinguishable and pure heralded single photons with tunable bandwidth”, Optics Letters 33, 875 (2008).
[Crossref] [PubMed]

S. Y. Baek, O. Kwon, and Y.-H. Kim, “Nonlocal dispersion control of a single-photon waveform”, Phys. Rev. A 78, 013816 (2008).
[Crossref]

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 (2008).
[Crossref] [PubMed]

Yu. M. Mikhailova, P. A. Volkov, and M. V. Fedorov, “Biphoton wave packets in parametric down-conversion: Spectral and temporal structure and degree of entanglement”, Phys. Rev. A 78, 062327 (2008).
[Crossref]

2007 (3)

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, and C. Kurtsiefer, “Joint spectrum mapping of polarization entanglement in spontaneous parametric down-conversion”, Phys. Rev. A 75, 043816 (2007).
[Crossref]

G. Brida, M. V. Chekhova, M. Genovese, and L. Krivitsky, “Generation of different Bell states within the spontaneous parametric down-conversion phase-matching bandwidth”, Phys. Rev. A 76, 053807 (2007).
[Crossref]

A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping theWaveform of Entangled Photons”, PRL 99, 243601 (2007).
[Crossref]

2006 (2)

G. Brida, M. V. Chekhova, M. Genovese, M. Gramegna, and L. A. Krivitsky, “Dispersion Spreading of Biphotons in Optical Fibers and Two-Photon Interference”, Phys. Rev. Lett. 96, 143601 (2006).
[Crossref] [PubMed]

W. Wasilewski, P. Wasylczyk, P. Kelenderski, K. Banasek, and C. Radzewicz, “Joint spectrum of photon pairs measured by coincidence Fourier spectroscopy”, Opt. Lett. 31, 1130 (2006).
[Crossref] [PubMed]

2005 (2)

2004 (1)

M. V. Fedorov, M. A. Efremov, A. E. Kazakov, K. W. Chan, C. K. Law, and J. H. Eberly, “Packet narrowing and quantum entanglement in photoionization and photodissociation”, Phys. Rev. A 69, 052117 (2004).
[Crossref]

2002 (2)

A. Valencia, M. V. Chekhova, A. S. Trifono, and Y. H. Shih, “Entangled Two-PhotonWave Packet in a Dispersive Medium”, Phys. Rev. Lett. 88, 183601 (2002).
[Crossref] [PubMed]

M. V. Chekhova, “Two-Photon Spectron”, JETP Lett.,  75, 225–226 (2002).
[Crossref]

2000 (2)

Y.-H. Kim, M. V. Chekhova, S. P. Kulik, Y.-H. Shih, and M. H. Rubin, “First-order interference of nonclassical light emitted spontaneously at different times”, Phys. Rev. A 61, 051803(R) (2000).
[Crossref]

J. K. Ranka, R. S. Windeler, and A. J. Stentz, “Visible continuum generation in air-silica microstructure optical fibers with anomalous dispersion at 800 nm”, Opt. Lett. 25, 25 (2000).
[Crossref]

1997 (2)

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 (1997).
[Crossref]

T. E. Keller and M. H. Rubin, “Theory of two-photon entanglement for spontaneous parametric down-conversion driven by a narrow pump pulse”, Phys. Rev. A 56, 1534–1541 (1997).
[Crossref]

Avenhaus, M.

Baek, S. Y.

S. Y. Baek, O. Kwon, and Y.-H. Kim, “Nonlocal dispersion control of a single-photon waveform”, Phys. Rev. A 78, 013816 (2008).
[Crossref]

Banasek, K.

Brida, G.

G. Brida, V. Caricato, M. V. Fedorov, M. Genovese, M. Gramegna, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons in femtosecond pulsed regime”, EPL 87, 64003 (2009).
[Crossref]

G. Brida, M. V. Chekhova, M. Genovese, and L. Krivitsky, “Generation of different Bell states within the spontaneous parametric down-conversion phase-matching bandwidth”, Phys. Rev. A 76, 053807 (2007).
[Crossref]

G. Brida, M. V. Chekhova, M. Genovese, M. Gramegna, and L. A. Krivitsky, “Dispersion Spreading of Biphotons in Optical Fibers and Two-Photon Interference”, Phys. Rev. Lett. 96, 143601 (2006).
[Crossref] [PubMed]

Caricato, V.

G. Brida, V. Caricato, M. V. Fedorov, M. Genovese, M. Gramegna, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons in femtosecond pulsed regime”, EPL 87, 64003 (2009).
[Crossref]

Cere, A.

A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping theWaveform of Entangled Photons”, PRL 99, 243601 (2007).
[Crossref]

Chan, K. W.

M. V. Fedorov, M. A. Efremov, A. E. Kazakov, K. W. Chan, C. K. Law, and J. H. Eberly, “Packet narrowing and quantum entanglement in photoionization and photodissociation”, Phys. Rev. A 69, 052117 (2004).
[Crossref]

Chekhova, M. V.

G. Brida, M. V. Chekhova, M. Genovese, and L. Krivitsky, “Generation of different Bell states within the spontaneous parametric down-conversion phase-matching bandwidth”, Phys. Rev. A 76, 053807 (2007).
[Crossref]

G. Brida, M. V. Chekhova, M. Genovese, M. Gramegna, and L. A. Krivitsky, “Dispersion Spreading of Biphotons in Optical Fibers and Two-Photon Interference”, Phys. Rev. Lett. 96, 143601 (2006).
[Crossref] [PubMed]

A. Valencia, M. V. Chekhova, A. S. Trifono, and Y. H. Shih, “Entangled Two-PhotonWave Packet in a Dispersive Medium”, Phys. Rev. Lett. 88, 183601 (2002).
[Crossref] [PubMed]

M. V. Chekhova, “Two-Photon Spectron”, JETP Lett.,  75, 225–226 (2002).
[Crossref]

Y.-H. Kim, M. V. Chekhova, S. P. Kulik, Y.-H. Shih, and M. H. Rubin, “First-order interference of nonclassical light emitted spontaneously at different times”, Phys. Rev. A 61, 051803(R) (2000).
[Crossref]

Eberly, J. H.

M. V. Fedorov, M. A. Efremov, A. E. Kazakov, K. W. Chan, C. K. Law, and J. H. Eberly, “Packet narrowing and quantum entanglement in photoionization and photodissociation”, Phys. Rev. A 69, 052117 (2004).
[Crossref]

Eckstein, A.

Efremov, M. A.

M. V. Fedorov, M. A. Efremov, A. E. Kazakov, K. W. Chan, C. K. Law, and J. H. Eberly, “Packet narrowing and quantum entanglement in photoionization and photodissociation”, Phys. Rev. A 69, 052117 (2004).
[Crossref]

Fedorov, M. V.

G. Brida, V. Caricato, M. V. Fedorov, M. Genovese, M. Gramegna, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons in femtosecond pulsed regime”, EPL 87, 64003 (2009).
[Crossref]

P. A. Volkov, Yu. M. Mikhailova, and M. V. Fedorov, “Spectral Entanglement in Parametric Down-Conversion with Nondegenerate Frequencies”, Advanced Science Letters 2, 511 (2009).
[Crossref]

Yu. M. Mikhailova, P. A. Volkov, and M. V. Fedorov, “Biphoton wave packets in parametric down-conversion: Spectral and temporal structure and degree of entanglement”, Phys. Rev. A 78, 062327 (2008).
[Crossref]

M. V. Fedorov, M. A. Efremov, A. E. Kazakov, K. W. Chan, C. K. Law, and J. H. Eberly, “Packet narrowing and quantum entanglement in photoionization and photodissociation”, Phys. Rev. A 69, 052117 (2004).
[Crossref]

Flammia, S. T.

N. C. Menicucci, S. T. Flammia, and O. Pfister, “Ultracompact generation of continuous-variable cluster states”, Phys. Rev. A76010302 (2007); “One-Way Quantum Computing in the Optical Frequency Comb”, Phys. Rev. Lett. 101 130501 (2008).
[Crossref]

Genovese, M.

G. Brida, V. Caricato, M. V. Fedorov, M. Genovese, M. Gramegna, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons in femtosecond pulsed regime”, EPL 87, 64003 (2009).
[Crossref]

G. Brida, M. V. Chekhova, M. Genovese, and L. Krivitsky, “Generation of different Bell states within the spontaneous parametric down-conversion phase-matching bandwidth”, Phys. Rev. A 76, 053807 (2007).
[Crossref]

G. Brida, M. V. Chekhova, M. Genovese, M. Gramegna, and L. A. Krivitsky, “Dispersion Spreading of Biphotons in Optical Fibers and Two-Photon Interference”, Phys. Rev. Lett. 96, 143601 (2006).
[Crossref] [PubMed]

M. Genovese, “Research on hidden variable theories: A review of recent progresses”, Phys. Rep. 413, 319 (2005).
[Crossref]

Gramegna, M.

G. Brida, V. Caricato, M. V. Fedorov, M. Genovese, M. Gramegna, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons in femtosecond pulsed regime”, EPL 87, 64003 (2009).
[Crossref]

G. Brida, M. V. Chekhova, M. Genovese, M. Gramegna, and L. A. Krivitsky, “Dispersion Spreading of Biphotons in Optical Fibers and Two-Photon Interference”, Phys. Rev. Lett. 96, 143601 (2006).
[Crossref] [PubMed]

Grice, W. P.

Y.-H. Kim and W. P. Grice, “Measurement of the spectral properties of the two-photon state generated via type II spontaneous parametric downconversion”, Opt. Lett. 30, 908 (2005).
[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 (1997).
[Crossref]

Hendrych, M.

M. Hendrych, X. Shi, A. Valencia, and J. P. Torres, “Broadening the bandwidth of entangled photons: A step towards the generation of extremely short biphotons”, Phys. Rev. A 79, 023817 (2009).
[Crossref]

Kazakov, A. E.

M. V. Fedorov, M. A. Efremov, A. E. Kazakov, K. W. Chan, C. K. Law, and J. H. Eberly, “Packet narrowing and quantum entanglement in photoionization and photodissociation”, Phys. Rev. A 69, 052117 (2004).
[Crossref]

Kelenderski, P.

Keller, T. E.

T. E. Keller and M. H. Rubin, “Theory of two-photon entanglement for spontaneous parametric down-conversion driven by a narrow pump pulse”, Phys. Rev. A 56, 1534–1541 (1997).
[Crossref]

Kim, Y.-H.

S. Y. Baek, O. Kwon, and Y.-H. Kim, “Nonlocal dispersion control of a single-photon waveform”, Phys. Rev. A 78, 013816 (2008).
[Crossref]

Y.-H. Kim and W. P. Grice, “Measurement of the spectral properties of the two-photon state generated via type II spontaneous parametric downconversion”, Opt. Lett. 30, 908 (2005).
[Crossref] [PubMed]

Y.-H. Kim, M. V. Chekhova, S. P. Kulik, Y.-H. Shih, and M. H. Rubin, “First-order interference of nonclassical light emitted spontaneously at different times”, Phys. Rev. A 61, 051803(R) (2000).
[Crossref]

Krivitsky, L.

G. Brida, M. V. Chekhova, M. Genovese, and L. Krivitsky, “Generation of different Bell states within the spontaneous parametric down-conversion phase-matching bandwidth”, Phys. Rev. A 76, 053807 (2007).
[Crossref]

Krivitsky, L. A.

G. Brida, M. V. Chekhova, M. Genovese, M. Gramegna, and L. A. Krivitsky, “Dispersion Spreading of Biphotons in Optical Fibers and Two-Photon Interference”, Phys. Rev. Lett. 96, 143601 (2006).
[Crossref] [PubMed]

Kulik, S. P.

G. Brida, V. Caricato, M. V. Fedorov, M. Genovese, M. Gramegna, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons in femtosecond pulsed regime”, EPL 87, 64003 (2009).
[Crossref]

Y.-H. Kim, M. V. Chekhova, S. P. Kulik, Y.-H. Shih, and M. H. Rubin, “First-order interference of nonclassical light emitted spontaneously at different times”, Phys. Rev. A 61, 051803(R) (2000).
[Crossref]

Kurtsiefer, C.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, and C. Kurtsiefer, “Joint spectrum mapping of polarization entanglement in spontaneous parametric down-conversion”, Phys. Rev. A 75, 043816 (2007).
[Crossref]

Kwon, O.

S. Y. Baek, O. Kwon, and Y.-H. Kim, “Nonlocal dispersion control of a single-photon waveform”, Phys. Rev. A 78, 013816 (2008).
[Crossref]

Lamas-Linares, A.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, and C. Kurtsiefer, “Joint spectrum mapping of polarization entanglement in spontaneous parametric down-conversion”, Phys. Rev. A 75, 043816 (2007).
[Crossref]

Law, C. K.

M. V. Fedorov, M. A. Efremov, A. E. Kazakov, K. W. Chan, C. K. Law, and J. H. Eberly, “Packet narrowing and quantum entanglement in photoionization and photodissociation”, Phys. Rev. A 69, 052117 (2004).
[Crossref]

Lum, C. Y.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, and C. Kurtsiefer, “Joint spectrum mapping of polarization entanglement in spontaneous parametric down-conversion”, Phys. Rev. A 75, 043816 (2007).
[Crossref]

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 (2008).
[Crossref] [PubMed]

Marcikic, I.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, and C. Kurtsiefer, “Joint spectrum mapping of polarization entanglement in spontaneous parametric down-conversion”, Phys. Rev. A 75, 043816 (2007).
[Crossref]

Menicucci, N. C.

N. C. Menicucci, S. T. Flammia, and O. Pfister, “Ultracompact generation of continuous-variable cluster states”, Phys. Rev. A76010302 (2007); “One-Way Quantum Computing in the Optical Frequency Comb”, Phys. Rev. Lett. 101 130501 (2008).
[Crossref]

Mikhailova, Yu. M.

P. A. Volkov, Yu. M. Mikhailova, and M. V. Fedorov, “Spectral Entanglement in Parametric Down-Conversion with Nondegenerate Frequencies”, Advanced Science Letters 2, 511 (2009).
[Crossref]

Yu. M. Mikhailova, P. A. Volkov, and M. V. Fedorov, “Biphoton wave packets in parametric down-conversion: Spectral and temporal structure and degree of entanglement”, Phys. Rev. A 78, 062327 (2008).
[Crossref]

Molina-Terriza, G.

A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping theWaveform of Entangled Photons”, PRL 99, 243601 (2007).
[Crossref]

Mosley, P. J.

M. Avenhaus, A. Eckstein, P. J. Mosley, and C. Silberhorn, “Fiber-assisted single-photon spectrograph”, Opt. Lett. 34, 2873 (2009).
[Crossref] [PubMed]

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 (2008).
[Crossref] [PubMed]

Pfister, O.

N. C. Menicucci, S. T. Flammia, and O. Pfister, “Ultracompact generation of continuous-variable cluster states”, Phys. Rev. A76010302 (2007); “One-Way Quantum Computing in the Optical Frequency Comb”, Phys. Rev. Lett. 101 130501 (2008).
[Crossref]

Poh, H. S.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, and C. Kurtsiefer, “Joint spectrum mapping of polarization entanglement in spontaneous parametric down-conversion”, Phys. Rev. A 75, 043816 (2007).
[Crossref]

Radzewicz, C.

Ranka, J. K.

Rubin, M. H.

Y.-H. Kim, M. V. Chekhova, S. P. Kulik, Y.-H. Shih, and M. H. Rubin, “First-order interference of nonclassical light emitted spontaneously at different times”, Phys. Rev. A 61, 051803(R) (2000).
[Crossref]

T. E. Keller and M. H. Rubin, “Theory of two-photon entanglement for spontaneous parametric down-conversion driven by a narrow pump pulse”, Phys. Rev. A 56, 1534–1541 (1997).
[Crossref]

Shi, X.

M. Hendrych, X. Shi, A. Valencia, and J. P. Torres, “Broadening the bandwidth of entangled photons: A step towards the generation of extremely short biphotons”, Phys. Rev. A 79, 023817 (2009).
[Crossref]

X. Shi, et al., “Generation of indistinguishable and pure heralded single photons with tunable bandwidth”, Optics Letters 33, 875 (2008).
[Crossref] [PubMed]

A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping theWaveform of Entangled Photons”, PRL 99, 243601 (2007).
[Crossref]

Shih, Y. H.

A. Valencia, M. V. Chekhova, A. S. Trifono, and Y. H. Shih, “Entangled Two-PhotonWave Packet in a Dispersive Medium”, Phys. Rev. Lett. 88, 183601 (2002).
[Crossref] [PubMed]

Shih, Y.-H.

Y.-H. Kim, M. V. Chekhova, S. P. Kulik, Y.-H. Shih, and M. H. Rubin, “First-order interference of nonclassical light emitted spontaneously at different times”, Phys. Rev. A 61, 051803(R) (2000).
[Crossref]

Silberhorn, C.

M. Avenhaus, A. Eckstein, P. J. Mosley, and C. Silberhorn, “Fiber-assisted single-photon spectrograph”, Opt. Lett. 34, 2873 (2009).
[Crossref] [PubMed]

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 (2008).
[Crossref] [PubMed]

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 (2008).
[Crossref] [PubMed]

Stentz, A. J.

Torres, J. P.

M. Hendrych, X. Shi, A. Valencia, and J. P. Torres, “Broadening the bandwidth of entangled photons: A step towards the generation of extremely short biphotons”, Phys. Rev. A 79, 023817 (2009).
[Crossref]

A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping theWaveform of Entangled Photons”, PRL 99, 243601 (2007).
[Crossref]

Trifono, A. S.

A. Valencia, M. V. Chekhova, A. S. Trifono, and Y. H. Shih, “Entangled Two-PhotonWave Packet in a Dispersive Medium”, Phys. Rev. Lett. 88, 183601 (2002).
[Crossref] [PubMed]

U’Ren, A. B.

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 (2008).
[Crossref] [PubMed]

Valencia, A.

M. Hendrych, X. Shi, A. Valencia, and J. P. Torres, “Broadening the bandwidth of entangled photons: A step towards the generation of extremely short biphotons”, Phys. Rev. A 79, 023817 (2009).
[Crossref]

A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping theWaveform of Entangled Photons”, PRL 99, 243601 (2007).
[Crossref]

A. Valencia, M. V. Chekhova, A. S. Trifono, and Y. H. Shih, “Entangled Two-PhotonWave Packet in a Dispersive Medium”, Phys. Rev. Lett. 88, 183601 (2002).
[Crossref] [PubMed]

Volkov, P. A.

P. A. Volkov, Yu. M. Mikhailova, and M. V. Fedorov, “Spectral Entanglement in Parametric Down-Conversion with Nondegenerate Frequencies”, Advanced Science Letters 2, 511 (2009).
[Crossref]

Yu. M. Mikhailova, P. A. Volkov, and M. V. Fedorov, “Biphoton wave packets in parametric down-conversion: Spectral and temporal structure and degree of entanglement”, Phys. Rev. A 78, 062327 (2008).
[Crossref]

Walmsley, I. A.

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 (2008).
[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 (1997).
[Crossref]

Wasilewski, W.

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 (2008).
[Crossref] [PubMed]

W. Wasilewski, P. Wasylczyk, P. Kelenderski, K. Banasek, and C. Radzewicz, “Joint spectrum of photon pairs measured by coincidence Fourier spectroscopy”, Opt. Lett. 31, 1130 (2006).
[Crossref] [PubMed]

Windeler, R. S.

Advanced Science Letters (1)

P. A. Volkov, Yu. M. Mikhailova, and M. V. Fedorov, “Spectral Entanglement in Parametric Down-Conversion with Nondegenerate Frequencies”, Advanced Science Letters 2, 511 (2009).
[Crossref]

EPL (1)

G. Brida, V. Caricato, M. V. Fedorov, M. Genovese, M. Gramegna, and S. P. Kulik, “Characterization of spectral entanglement of spontaneous parametric-down conversion biphotons in femtosecond pulsed regime”, EPL 87, 64003 (2009).
[Crossref]

JETP Lett. (1)

M. V. Chekhova, “Two-Photon Spectron”, JETP Lett.,  75, 225–226 (2002).
[Crossref]

Opt. Lett. (4)

Optics Letters (1)

X. Shi, et al., “Generation of indistinguishable and pure heralded single photons with tunable bandwidth”, Optics Letters 33, 875 (2008).
[Crossref] [PubMed]

Phys. Rep. (1)

M. Genovese, “Research on hidden variable theories: A review of recent progresses”, Phys. Rep. 413, 319 (2005).
[Crossref]

Phys. Rev. A (9)

G. Brida, M. V. Chekhova, M. Genovese, and L. Krivitsky, “Generation of different Bell states within the spontaneous parametric down-conversion phase-matching bandwidth”, Phys. Rev. A 76, 053807 (2007).
[Crossref]

Y.-H. Kim, M. V. Chekhova, S. P. Kulik, Y.-H. Shih, and M. H. Rubin, “First-order interference of nonclassical light emitted spontaneously at different times”, Phys. Rev. A 61, 051803(R) (2000).
[Crossref]

M. Hendrych, X. Shi, A. Valencia, and J. P. Torres, “Broadening the bandwidth of entangled photons: A step towards the generation of extremely short biphotons”, Phys. Rev. A 79, 023817 (2009).
[Crossref]

S. Y. Baek, O. Kwon, and Y.-H. Kim, “Nonlocal dispersion control of a single-photon waveform”, Phys. Rev. A 78, 013816 (2008).
[Crossref]

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, and C. Kurtsiefer, “Joint spectrum mapping of polarization entanglement in spontaneous parametric down-conversion”, Phys. Rev. A 75, 043816 (2007).
[Crossref]

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 (1997).
[Crossref]

T. E. Keller and M. H. Rubin, “Theory of two-photon entanglement for spontaneous parametric down-conversion driven by a narrow pump pulse”, Phys. Rev. A 56, 1534–1541 (1997).
[Crossref]

M. V. Fedorov, M. A. Efremov, A. E. Kazakov, K. W. Chan, C. K. Law, and J. H. Eberly, “Packet narrowing and quantum entanglement in photoionization and photodissociation”, Phys. Rev. A 69, 052117 (2004).
[Crossref]

Yu. M. Mikhailova, P. A. Volkov, and M. V. Fedorov, “Biphoton wave packets in parametric down-conversion: Spectral and temporal structure and degree of entanglement”, Phys. Rev. A 78, 062327 (2008).
[Crossref]

Phys. Rev. Lett. (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 (2008).
[Crossref] [PubMed]

A. Valencia, M. V. Chekhova, A. S. Trifono, and Y. H. Shih, “Entangled Two-PhotonWave Packet in a Dispersive Medium”, Phys. Rev. Lett. 88, 183601 (2002).
[Crossref] [PubMed]

G. Brida, M. V. Chekhova, M. Genovese, M. Gramegna, and L. A. Krivitsky, “Dispersion Spreading of Biphotons in Optical Fibers and Two-Photon Interference”, Phys. Rev. Lett. 96, 143601 (2006).
[Crossref] [PubMed]

PRL (1)

A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping theWaveform of Entangled Photons”, PRL 99, 243601 (2007).
[Crossref]

Other (2)

We denote the Fourier transform of TPSA by the same letter, F, with a tilde.

N. C. Menicucci, S. T. Flammia, and O. Pfister, “Ultracompact generation of continuous-variable cluster states”, Phys. Rev. A76010302 (2007); “One-Way Quantum Computing in the Optical Frequency Comb”, Phys. Rev. Lett. 101 130501 (2008).
[Crossref]

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Figures (5)

Fig. 1.
Fig. 1. (color online) Squared modulus of TPSA plotted in coordinates Ω± ≡ (Ω i ±Ω s )/√2 (a,b,c). The TPSA was calculated for the case of a 5 mm BBOcrystal pumped by (a) single-pulse pump and two pump pulses separated by (b) 520 fs and (c) 1.75 ps. By registering coincidence counting rate as a function of signal-idler delay, after transmitting biphotons through an optical fibre, one retrieves the projection of TPSA onto the Ω axis (Figures d,e,f, blue dashed lines). If a narrowband filter is inserted into the signal (idler) channel, projected is not the TPSA but its cross-section along the Ω i s ) axis. The corresponding distributions are shown in figures d,e,f (black dotted lines and red solid lines, respectively).
Fig. 2.
Fig. 2. (color online) Experimental setup. Second harmonic of a Ti-Sapphire laser, after being cleaned from the first harmonic radiation by two prisms, is focused into a BBO crystal. The pump spectrum is controlled using a spectrometer (SM). After the crystal, the pump radiation is cut off by a mirror (M) and a filter (F), and the down-converted light is fed into 500 m of standard optical fibre. After the fibre, polarization is corrected by means of a half-wave plate (HWP) and a quarter-wave plate (QWP). A polarizing beamsplitter (PBS) separates signal and idler radiation and sends each beam to a single-photon detector. Distribution of the photon arrival time intervals is measured by means of TAC and MCA.
Fig. 3.
Fig. 3. (color online) Measured (points) and calculated (lines) distributions of the delay time between signal and idler photons, for the cases of no filters inserted in front of detectors (blue triangles, blue dashed line), 1 nm filter inserted into the idler channel (red empty circles, red solid line) and 1 nm filter inserted into the signal channel (black squares, black dotted line). Figure b shows the point-spread function of the method. This function was measured by registering time delay distribution without the fibre.
Fig. 4.
Fig. 4. (color online) Spectra of the pump with the modulation created by a BBO crystal inserted into the pump beam. Left and right figures correspond to different tilts of the crystal leading to different phases of the modulation.
Fig. 5.
Fig. 5. (color online) Measured (points) and calculated (lines) distributions in the case of the pump spectrum shown in Fig. 4(b). Blue dashed line and blue triangles correspond to the unfiltered case, black dotted line and black squares, to the case of a 1 nm filter inserted into the signal channel.

Equations (8)

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Ψ = d ω s d ω i F ( ω s , ω i ) a s ( ω s ) a i ( ω i ) vac ,
F ~ ( t s , t i ) d Ω s d Ω i e i Ω s t s e i Ω i t i F ( Ω s , Ω i ) .
F ( Ω s , Ω i ) F ( Ω s , Ω i ) F ( Ω s , Ω i ) e il ( k s Ω s 2 + k i Ω i 2 ) 2 ,
F ~ ( Ω s , t i ) d t F ~ ( Ω s , t ) e i ( t t i ) 2 2 k i l .
F ~ ( t s , t i ) e i t i 2 2 k i l i t s 2 2 k s l F ( Ω s , Ω i ) Ω s t s k s l , Ω i t i k i l .
F ~ ( t s , t i ) F ( Ω s , Ω i ) Ω s t s k l , Ω i t i k l .
F ( Ω ) meas d Ω + F ( Ω + , Ω ) 2 ,
R = Δ Ω s Δ Ω 1 Δ Ω i 2 Δ Ω 2 + Δ Ω i Δ Ω 1 Δ Ω s 2 Δ Ω 2 1 .

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