Abstract

We treat spontaneous parametric downconversion in a periodically poled fiber, quasi-phase matched to allow for the generation of photon pairs at wavelengths within the low-loss telecommunications window. For an appropriate pump polarization, the unusual properties of such a fiber’s effective χ(2) result in a biphoton wave function that is symmetric upon simultaneous exchange of downconverted photon frequencies and polarizations and that is nonzero over a wide range of downconverted frequencies. This could lead to a significant technical simplification of sources of in-fiber telecom-band polarization-entangled photons.

© 2009 Optical Society of America

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2009 (1)

A. S. Clark, J. Fulconis, J. G. Rarity, W. J. Wadsworth, and J. L. O'Brien, Phys. Rev. A 79, 030303 (2009).
[CrossRef]

2008 (5)

Ö. E. Müstecaplioğlu, Opt. Photonics News 19(3), 26 (2008).
[CrossRef]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O'Brien, Science 320, 646 (2008).
[CrossRef] [PubMed]

Z. Yang, M. Liscidini, and J. E. Sipe, Phys. Rev. A 77, 033808 (2008).
[CrossRef]

H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S. Itabashi, Opt. Express 16, 5721 (2008).
[CrossRef] [PubMed]

Q. Zhang, H. Takesue, S. W. Nam, C. Langrock, X. Xie, B. Baek, M. M. Fejer, and Y. Yamamoto, Opt. Express 16, 5776 (2008).
[CrossRef] [PubMed]

2007 (7)

2006 (1)

D. Ljunggren, M. Tengner, P. Marsden, and M. Pelton, Phys. Rev. A 73, 032326 (2006).
[CrossRef]

2005 (1)

2004 (3)

1992 (1)

K. Inoue, IEEE J. Quantum Electron. 28, 883 (1992).
[CrossRef]

Alibart, O.

J. Fulconis, O. Alibart, J. L. O'Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef] [PubMed]

Baek, B.

Brainis, E.

Canagasabey, A.

Clark, A. S.

A. S. Clark, J. Fulconis, J. G. Rarity, W. J. Wadsworth, and J. L. O'Brien, Phys. Rev. A 79, 030303 (2009).
[CrossRef]

Corbari, C.

Cryan, M. J.

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O'Brien, Science 320, 646 (2008).
[CrossRef] [PubMed]

Deparis, O.

Dowling, J. P.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79, 135 (2007).
[CrossRef]

Emplit, P.

Fan, J.

Fejer, M. M.

Fokine, M.

Fook Lee, K.

Fotiadi, A. A.

Fujii, G.

Fujimura, M.

T. Suhara, H. Okabe, and M. Fujimura, IEEE Photon. Technol. Lett. 19, 1093 (2007).
[CrossRef]

Fukuda, H.

Fulconis, J.

A. S. Clark, J. Fulconis, J. G. Rarity, W. J. Wadsworth, and J. L. O'Brien, Phys. Rev. A 79, 030303 (2009).
[CrossRef]

J. Fulconis, O. Alibart, J. L. O'Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef] [PubMed]

Haelterman, M.

Helander, P.

Ibsen, M.

Inoue, K.

H. Takesue and K. Inoue, Phys. Rev. A 70, 031802 (2004).
[CrossRef]

K. Inoue, IEEE J. Quantum Electron. 28, 883 (1992).
[CrossRef]

Inoue, S.

Itabashi, S.

Kazansky, P. G.

Kok, P.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79, 135 (2007).
[CrossRef]

Kumar, P.

Kurimura, S.

Langrock, C.

Liang, C.

Liscidini, M.

Z. Yang, M. Liscidini, and J. E. Sipe, Phys. Rev. A 77, 033808 (2008).
[CrossRef]

Ljunggren, D.

D. Ljunggren, M. Tengner, P. Marsden, and M. Pelton, Phys. Rev. A 73, 032326 (2006).
[CrossRef]

Margulis, W.

Marsden, P.

D. Ljunggren, M. Tengner, P. Marsden, and M. Pelton, Phys. Rev. A 73, 032326 (2006).
[CrossRef]

Massar, S.

Medic, M.

Megret, P.

Midgall, A.

Milburn, G. J.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79, 135 (2007).
[CrossRef]

Motoya, M.

Munro, W. J.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79, 135 (2007).
[CrossRef]

Müstecaplioglu, Ö. E.

Ö. E. Müstecaplioğlu, Opt. Photonics News 19(3), 26 (2008).
[CrossRef]

Myrén, N.

Nam, S. W.

Namekata, N.

Nemoto, K.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79, 135 (2007).
[CrossRef]

Nguyen, A. T.

Nilsson, L. -E.

Norin, L.

O'Brien, J. L.

A. S. Clark, J. Fulconis, J. G. Rarity, W. J. Wadsworth, and J. L. O'Brien, Phys. Rev. A 79, 030303 (2009).
[CrossRef]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O'Brien, Science 320, 646 (2008).
[CrossRef] [PubMed]

J. Fulconis, O. Alibart, J. L. O'Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef] [PubMed]

Okabe, H.

T. Suhara, H. Okabe, and M. Fujimura, IEEE Photon. Technol. Lett. 19, 1093 (2007).
[CrossRef]

Olsson, H.

Pelton, M.

D. Ljunggren, M. Tengner, P. Marsden, and M. Pelton, Phys. Rev. A 73, 032326 (2006).
[CrossRef]

Phan Huy, K.

Politi, A.

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O'Brien, Science 320, 646 (2008).
[CrossRef] [PubMed]

Ralph, T. C.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79, 135 (2007).
[CrossRef]

Rarity, J. G.

A. S. Clark, J. Fulconis, J. G. Rarity, W. J. Wadsworth, and J. L. O'Brien, Phys. Rev. A 79, 030303 (2009).
[CrossRef]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O'Brien, Science 320, 646 (2008).
[CrossRef] [PubMed]

J. Fulconis, O. Alibart, J. L. O'Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef] [PubMed]

Sipe, J. E.

Z. Yang, M. Liscidini, and J. E. Sipe, Phys. Rev. A 77, 033808 (2008).
[CrossRef]

Sjödin, N.

Suhara, T.

T. Suhara, H. Okabe, and M. Fujimura, IEEE Photon. Technol. Lett. 19, 1093 (2007).
[CrossRef]

Svennebrink, J.

Takesue, H.

Tarasenko, O.

Tengner, M.

D. Ljunggren, M. Tengner, P. Marsden, and M. Pelton, Phys. Rev. A 73, 032326 (2006).
[CrossRef]

Tokura, Y.

Tsuchizawa, T.

Wadsworth, W. J.

A. S. Clark, J. Fulconis, J. G. Rarity, W. J. Wadsworth, and J. L. O'Brien, Phys. Rev. A 79, 030303 (2009).
[CrossRef]

J. Fulconis, O. Alibart, J. L. O'Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef] [PubMed]

Watanabe, T.

Xie, X.

Yamada, K.

Yamamoto, Y.

Yang, Z.

Z. Yang, M. Liscidini, and J. E. Sipe, Phys. Rev. A 77, 033808 (2008).
[CrossRef]

Yu, S.

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O'Brien, Science 320, 646 (2008).
[CrossRef] [PubMed]

Zhang, Q.

Zhang, Z.

IEEE J. Quantum Electron. (1)

K. Inoue, IEEE J. Quantum Electron. 28, 883 (1992).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

T. Suhara, H. Okabe, and M. Fujimura, IEEE Photon. Technol. Lett. 19, 1093 (2007).
[CrossRef]

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

Opt. Express (7)

Opt. Lett. (1)

Opt. Photonics News (1)

Ö. E. Müstecaplioğlu, Opt. Photonics News 19(3), 26 (2008).
[CrossRef]

Phys. Rev. A (4)

A. S. Clark, J. Fulconis, J. G. Rarity, W. J. Wadsworth, and J. L. O'Brien, Phys. Rev. A 79, 030303 (2009).
[CrossRef]

D. Ljunggren, M. Tengner, P. Marsden, and M. Pelton, Phys. Rev. A 73, 032326 (2006).
[CrossRef]

H. Takesue and K. Inoue, Phys. Rev. A 70, 031802 (2004).
[CrossRef]

Z. Yang, M. Liscidini, and J. E. Sipe, Phys. Rev. A 77, 033808 (2008).
[CrossRef]

Phys. Rev. Lett. (1)

J. Fulconis, O. Alibart, J. L. O'Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79, 135 (2007).
[CrossRef]

Science (1)

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O'Brien, Science 320, 646 (2008).
[CrossRef] [PubMed]

Other (2)

http://cvilaser.com/Common/PDFs/Dispersion Equations.pdf.

Owing to a different convention in defining what is meant by χxxx(2), we use a value twice as large as that reported in .

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Figures (1)

Fig. 1
Fig. 1

DC Poling and biphoton probability density. (a) Fiber core, with arrows representing direction of DC field. (b) Fiber profile, with arrows representing direction of DC field and Λ the QPM period. (c) Biphoton probability density | ϕ ̂ x y ( ω 1 , ω 2 ) | 2 = | ϕ ̂ y x ( ω 1 , ω 2 ) | 2 , where ϕ ̂ α β ( ω 1 , ω 2 ) = 1 ϕ ̃ α β ( ω 1 , ω 2 ) .

Equations (6)

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α , β , γ d k 1 d k 2 d k S α β γ ( k 1 , k 2 , k ) c α k 1 c β k 2 b γ k + H .c . ,
| ϕ out = exp ( ν C II H .c . ) | ϕ in ,
C II = 1 2 α , β 0 d k 1 0 d k 2 ϕ α β ( k 1 , k 2 ) c α k 1 c β k 2 ,
ϕ α β ( k 1 , k 2 ) = i μ ν d k ϕ P ( k ) S α β y ( k 1 , k 2 , k ) δ ( ω S y k ω F α k 1 ω F β k 2 )
α , β 0 d ω 1 0 d ω 2 | ϕ ̃ α β ( ω 1 , ω 2 ) | 2 = 1.
2 ω P / 2 d ω 1 0 ω P / 2 d ω 2 ϕ ̃ x y ( ω 1 , ω 2 ) [ | x ω 1 ; y ω 2 + | y ω 1 ; x ω 2 ] ,

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