Abstract

Controlling the spatial and spectral–temporal properties of photon pairs produced in artificially structured materials is fundamental to the realization of numerous photonic quantum information applications. Tailoring the joint spectral properties of photon pairs is of particular importance for applications relying on time–energy entanglement, high-visibility interference, and heralding. Yet measuring the joint spectral properties is a time-consuming task requiring coincidence counting, typically resulting in low-resolution spectra with a poor signal-to-noise ratio. In this work we capture the joint spectral correlations of photon pairs that would be produced in optical fibers with unprecedented speed, resolution, and signal-to-noise ratio, using a scheme based on stimulated four-wave mixing. We also illustrate that this technique can be used in engineering joint spectral correlations, making it a powerful tool for studying quantum states.

© 2014 Optical Society of America

Full Article  |  PDF Article
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References

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2014 (3)

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

R. Z. Vered, Y. Ben Or, M. Rosenbluh, A. Pe’er, New J. Phys. 16, 053012 (2014).
[Crossref]

2013 (3)

2012 (1)

Y. Kang, J. Ko, S. Lee, S.-K. Choi, B. Kim, H. Park, Phys. Rev. Lett. 109, 020502 (2012).
[Crossref]

2011 (1)

M. A. Hall, J. B. Altepeter, P. Kumar, Phys. Rev. Lett. 106, 053901 (2011).
[Crossref]

2009 (3)

2008 (1)

2007 (3)

2006 (2)

2005 (4)

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[Crossref]

J. Rarity, J. Fulconis, J. Duligall, W. Wadsworth, P. Russell, Opt. Express 13, 534 (2005).
[Crossref]

Y.-H. Kim, W. P. Grice, Opt. Lett. 30, 908 (2005).
[Crossref]

X. Li, P. L. Voss, J. E. Sharping, P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[Crossref]

2002 (1)

X. Li, J. Chen, P. Voss, J. Sharping, P. Kumar, IEEE Photon. Technol. Lett. 14, 983 (2002).
[Crossref]

2001 (1)

E. Knill, R. Laflamme, G. J. Milburn, Nature 409, 46 (2001).
[Crossref]

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J. D. Franson, Phys. Rev. Lett. 62, 2205 (1989).
[Crossref]

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Altepeter, J. B.

M. A. Hall, J. B. Altepeter, P. Kumar, Phys. Rev. Lett. 106, 053901 (2011).
[Crossref]

Avenhaus, M.

Barbieri, M.

Ben Or, Y.

R. Z. Vered, Y. Ben Or, M. Rosenbluh, A. Pe’er, New J. Phys. 16, 053012 (2014).
[Crossref]

Bonneau, D.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Booth, M. J.

Boucher, G.

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

Chen, J.

J. Chen, X. Li, P. Kumar, Phys. Rev. A 72, 033801 (2005).
[Crossref]

X. Li, J. Chen, P. Voss, J. Sharping, P. Kumar, IEEE Photon. Technol. Lett. 14, 983 (2002).
[Crossref]

Choi, S.-K.

Y. Kang, J. Ko, S. Lee, S.-K. Choi, B. Kim, H. Park, Phys. Rev. Lett. 109, 020502 (2012).
[Crossref]

Cohen, O.

Ducci, S.

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

Duligall, J.

Eckstein, A.

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

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[Crossref]

Eisaman, M. D.

Ezaki, M.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Fan, J.

Fang, B.

Favero, I.

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

Filloux, P.

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

Foster, M. A.

Franson, J. D.

J. D. Franson, Phys. Rev. Lett. 62, 2205 (1989).
[Crossref]

Fukuda, H.

Fulconis, J.

Gaeta, A. L.

Garay-Palmett, K.

Grice, W. P.

Hadfield, R. H.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Hall, M. A.

M. A. Hall, J. B. Altepeter, P. Kumar, Phys. Rev. Lett. 106, 053901 (2011).
[Crossref]

Harada, K.

Humphreys, P. C.

Iizuka, N.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Itabashi, S.

Jin, X.-M.

Kang, Y.

Y. Kang, J. Ko, S. Lee, S.-K. Choi, B. Kim, H. Park, Phys. Rev. Lett. 109, 020502 (2012).
[Crossref]

Kim, B.

Y. Kang, J. Ko, S. Lee, S.-K. Choi, B. Kim, H. Park, Phys. Rev. Lett. 109, 020502 (2012).
[Crossref]

Kim, Y.-H.

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E. Knill, R. Laflamme, G. J. Milburn, Nature 409, 46 (2001).
[Crossref]

Ko, J.

Y. Kang, J. Ko, S. Lee, S.-K. Choi, B. Kim, H. Park, Phys. Rev. Lett. 109, 020502 (2012).
[Crossref]

Kolthammer, W. S.

Kumar, P.

M. A. Hall, J. B. Altepeter, P. Kumar, Phys. Rev. Lett. 106, 053901 (2011).
[Crossref]

J. E. Sharping, K. F. Lee, M. A. Foster, A. C. Turner, B. S. Schmidt, M. Lipson, A. L. Gaeta, P. Kumar, Opt. Express 14, 12388 (2006).
[Crossref]

X. Li, P. L. Voss, J. E. Sharping, P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[Crossref]

J. Chen, X. Li, P. Kumar, Phys. Rev. A 72, 033801 (2005).
[Crossref]

X. Li, J. Chen, P. Voss, J. Sharping, P. Kumar, IEEE Photon. Technol. Lett. 14, 983 (2002).
[Crossref]

Kurtsiefer, C.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, C. Kurtsiefer, Phys. Rev. A 75, 043816 (2007).
[Crossref]

Laflamme, R.

E. Knill, R. Laflamme, G. J. Milburn, Nature 409, 46 (2001).
[Crossref]

Lamas-Linares, A.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, C. Kurtsiefer, Phys. Rev. A 75, 043816 (2007).
[Crossref]

Langford, N. K.

Lee, K. F.

Lee, S.

Y. Kang, J. Ko, S. Lee, S.-K. Choi, B. Kim, H. Park, Phys. Rev. Lett. 109, 020502 (2012).
[Crossref]

Lemaître, A.

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

Leo, G.

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

Li, X.

J. Chen, X. Li, P. Kumar, Phys. Rev. A 72, 033801 (2005).
[Crossref]

X. Li, P. L. Voss, J. E. Sharping, P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[Crossref]

X. Li, J. Chen, P. Voss, J. Sharping, P. Kumar, IEEE Photon. Technol. Lett. 14, 983 (2002).
[Crossref]

Lin, Q.

Lipson, M.

Liscidini, M.

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

M. Liscidini, J. E. Sipe, Phys. Rev. Lett. 111, 193602 (2013).
[Crossref]

Lorenz, V. O.

Lum, C. Y.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, C. Kurtsiefer, Phys. Rev. A 75, 043816 (2007).
[Crossref]

Lundeen, J.

O. Cohen, J. Lundeen, B. Smith, G. Puentes, P. Mosley, I. Walmsley, Phys. Rev. Lett. 102, 123603 (2009).
[Crossref]

Lundeen, J. S.

Mahou, P.

Marcikic, I.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, C. Kurtsiefer, Phys. Rev. A 75, 043816 (2007).
[Crossref]

McGuinness, H. J.

McKinstrie, C. J.

Metcalf, B. J.

Migdall, A.

Milburn, G. J.

E. Knill, R. Laflamme, G. J. Milburn, Nature 409, 46 (2001).
[Crossref]

Moore, M.

Moreno, J. B.

Mosley, P.

O. Cohen, J. Lundeen, B. Smith, G. Puentes, P. Mosley, I. Walmsley, Phys. Rev. Lett. 102, 123603 (2009).
[Crossref]

Mosley, P. J.

Natarajan, C. M.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Ohira, K.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Park, H.

Y. Kang, J. Ko, S. Lee, S.-K. Choi, B. Kim, H. Park, Phys. Rev. Lett. 109, 020502 (2012).
[Crossref]

Pe’er, A.

R. Z. Vered, Y. Ben Or, M. Rosenbluh, A. Pe’er, New J. Phys. 16, 053012 (2014).
[Crossref]

Poh, H. S.

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, C. Kurtsiefer, Phys. Rev. A 75, 043816 (2007).
[Crossref]

Puentes, G.

O. Cohen, J. Lundeen, B. Smith, G. Puentes, P. Mosley, I. Walmsley, Phys. Rev. Lett. 102, 123603 (2009).
[Crossref]

Radic, S.

Rangel-Rojo, R.

Rarity, J.

Raymer, M. G.

Rosenbluh, M.

R. Z. Vered, Y. Ben Or, M. Rosenbluh, A. Pe’er, New J. Phys. 16, 053012 (2014).
[Crossref]

Russell, P.

Salter, P. S.

Schmidt, B. S.

Sharping, J.

X. Li, J. Chen, P. Voss, J. Sharping, P. Kumar, IEEE Photon. Technol. Lett. 14, 983 (2002).
[Crossref]

Sharping, J. E.

Silberhorn, C.

Silverstone, J. W.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Sipe, J. E.

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

M. Liscidini, J. E. Sipe, Phys. Rev. Lett. 111, 193602 (2013).
[Crossref]

Smith, B.

O. Cohen, J. Lundeen, B. Smith, G. Puentes, P. Mosley, I. Walmsley, Phys. Rev. Lett. 102, 123603 (2009).
[Crossref]

Smith, B. J.

Spring, J. B.

Suzuki, N.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Takesue, H.

Tanner, M. G.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Thomas-Peter, N.

Tokura, Y.

Tsuchizawa, T.

Turner, A. C.

U’ren, A. B.

Vered, R. Z.

R. Z. Vered, Y. Ben Or, M. Rosenbluh, A. Pe’er, New J. Phys. 16, 053012 (2014).
[Crossref]

Voss, P.

X. Li, J. Chen, P. Voss, J. Sharping, P. Kumar, IEEE Photon. Technol. Lett. 14, 983 (2002).
[Crossref]

Voss, P. L.

X. Li, P. L. Voss, J. E. Sharping, P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[Crossref]

Wadsworth, W.

Walmsley, I.

O. Cohen, J. Lundeen, B. Smith, G. Puentes, P. Mosley, I. Walmsley, Phys. Rev. Lett. 102, 123603 (2009).
[Crossref]

Walmsley, I. A.

Watanabe, T.

Yamada, K.

Yoshida, H.

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

IEEE Photon. Technol. Lett. (1)

X. Li, J. Chen, P. Voss, J. Sharping, P. Kumar, IEEE Photon. Technol. Lett. 14, 983 (2002).
[Crossref]

Laser Photon. Rev. (1)

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, S. Ducci, Laser Photon. Rev. 8, L76 (2014).

Nat. Photonics (1)

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, Nat. Photonics 8, 104 (2014).
[Crossref]

Nature (1)

E. Knill, R. Laflamme, G. J. Milburn, Nature 409, 46 (2001).
[Crossref]

New J. Phys. (1)

R. Z. Vered, Y. Ben Or, M. Rosenbluh, A. Pe’er, New J. Phys. 16, 053012 (2014).
[Crossref]

Opt. Express (8)

Opt. Lett. (3)

Phys. Rev. A (2)

J. Chen, X. Li, P. Kumar, Phys. Rev. A 72, 033801 (2005).
[Crossref]

H. S. Poh, C. Y. Lum, I. Marcikic, A. Lamas-Linares, C. Kurtsiefer, Phys. Rev. A 75, 043816 (2007).
[Crossref]

Phys. Rev. Lett. (6)

Y. Kang, J. Ko, S. Lee, S.-K. Choi, B. Kim, H. Park, Phys. Rev. Lett. 109, 020502 (2012).
[Crossref]

O. Cohen, J. Lundeen, B. Smith, G. Puentes, P. Mosley, I. Walmsley, Phys. Rev. Lett. 102, 123603 (2009).
[Crossref]

X. Li, P. L. Voss, J. E. Sharping, P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[Crossref]

J. D. Franson, Phys. Rev. Lett. 62, 2205 (1989).
[Crossref]

M. A. Hall, J. B. Altepeter, P. Kumar, Phys. Rev. Lett. 106, 053901 (2011).
[Crossref]

M. Liscidini, J. E. Sipe, Phys. Rev. Lett. 111, 193602 (2013).
[Crossref]

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Figures (4)

Fig. 1.
Fig. 1.

Schematic of the experimental setup. BP1–4, bandpass filter; PBS, polarizing beam splitter; HWP, half-wave plate; L1–3, lens; PMF, polarization-maintaining fiber; DM, dichroic mirror; P1–2, polarizer; SMF, single-mode fiber.

Fig. 2.
Fig. 2.

Power dependence of the stimulated photon counts. The black squares are the measured counts, with error bars indicating the standard deviation across 20 measurements. The red line is a linear least-squares fit.

Fig. 3.
Fig. 3.

(a) JSD measured by coincidence counting, provided by Smith et al. [12], (b) JSD measured by stimulated four-wave mixing, (c) numerical calculation of the JSD. Note the high resolution and low noise in (b) compared with (a). Also note that the measurements in (a) are taken for a fiber different from the one in (b), resulting in a generally different JSD.

Fig. 4.
Fig. 4.

Measured JSDs for fiber lengths of (a) 2.6 cm, (b) 1.6 cm, and (c) 1.1 cm. From (a)–(c), the spectral correlation changes from correlated to nearly uncorrelated to anticorrelated as the length of the fiber decreases.

Equations (3)

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

|Ψ=dωsdωif(ωs,ωi)|ωs,ωi,
nωsAωinωsnωi|Aωi|2,
|f(ωs,ωi)|2=|dωpα(ωp)α(ωs+ωiωp)ϕ(ωs,ωi)|2,

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