Abstract

We propose a scheme for generating polarization-entangled photon pairs using a χ(2) nonlinear photonic crystal, which is designed for enabling two concurrent quasi-phase-matched spontaneous parametric downconversion processes. Beamlike photon pairs produced from each process are collinear but noncollinear with the pump. Moreover, the source we design works in a postselection-free way and applies to both degenerate and nondegenerate cases. Combining possible waveguide technologies, our scheme may provide an integrated polarization entanglement source.

© 2012 Optical Society of America

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  1. M. Genovese, Phys. Rep. 413, 319 (2005).
    [CrossRef]
  2. J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photonics 3, 687 (2009).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2012

W. Ueno, F. Kaneda, H. Suzuki, S. Nagano, A. Syouji, R. Shimizu, K. Suizu, and K. Edamatsu, Opt. Express 20, 5508 (2012).
[CrossRef]

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

2011

Z. H. Levine, J. Fan, J. Chen, and A. L. Migdall, Opt. Express 19, 6724 (2011).
[CrossRef]

Y.-X. Gong, Z.-D. Xie, P. Xu, X.-Q. Yu, P. Xue, and S.-N. Zhu, Phys. Rev. A 84, 053825 (2011).
[CrossRef]

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

2009

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photonics 3, 687 (2009).

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

2008

2006

2005

M. Genovese, Phys. Rep. 413, 319 (2005).
[CrossRef]

J. P. Torres, G. Molina-Terriza, and L. Torner, J. Opt. B 7, 235 (2005).
[CrossRef]

2004

C. E. Kuklewicz, M. Fiorentino, G. Messin, F. N. C. Wong, and J. H. Shapiro, Phys. Rev. A 69, 013807 (2004).
[CrossRef]

A. Yoshizawa and H. Tsuchida, Appl. Phys. Lett. 85, 2457 (2004).
[CrossRef]

1999

P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, Phys. Rev. A 60, R773 (1999).
[CrossRef]

1998

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

1997

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]

1995

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Alibart, O.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

Appelbaum, I.

P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, Phys. Rev. A 60, R773 (1999).
[CrossRef]

Bao, X.-H.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Berger, V.

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

Broderick, N. G. R.

Chen, J.

Chen, Y.-A.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Codemard, C.

Eberhard, P. H.

P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, Phys. Rev. A 60, R773 (1999).
[CrossRef]

Edamatsu, K.

Fan, J.

Fiorentino, M.

T. Kim, M. Fiorentino, and F. N. C. Wong, Phys. Rev. A 73, 012316 (2006).
[CrossRef]

C. E. Kuklewicz, M. Fiorentino, G. Messin, F. N. C. Wong, and J. H. Shapiro, Phys. Rev. A 69, 013807 (2004).
[CrossRef]

Furusawa, A.

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photonics 3, 687 (2009).

Gallo, K.

Gawith, C. B.

Genovese, M.

M. Genovese, Phys. Rep. 413, 319 (2005).
[CrossRef]

Ghosh, S.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

Gong, Y.-X.

Y.-X. Gong, Z.-D. Xie, P. Xu, X.-Q. Yu, P. Xue, and S.-N. Zhu, Phys. Rev. A 84, 053825 (2011).
[CrossRef]

Grice, W. P.

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

Kaneda, F.

Keller, T. E.

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

Kim, T.

T. Kim, M. Fiorentino, and F. N. C. Wong, Phys. Rev. A 73, 012316 (2006).
[CrossRef]

Kuklewicz, C. E.

C. E. Kuklewicz, M. Fiorentino, G. Messin, F. N. C. Wong, and J. H. Shapiro, Phys. Rev. A 69, 013807 (2004).
[CrossRef]

Kwiat, P. G.

P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, Phys. Rev. A 60, R773 (1999).
[CrossRef]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Laurell, F.

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

Leng, H. Y.

Levenius, M.

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

Levine, Z. H.

Lu, C.-Y.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Lu, H.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Lugani, J.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

Martin, A.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

Mattle, K.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Messin, G.

C. E. Kuklewicz, M. Fiorentino, G. Messin, F. N. C. Wong, and J. H. Shapiro, Phys. Rev. A 69, 013807 (2004).
[CrossRef]

Migdall, A. L.

Molina-Terriza, G.

J. P. Torres, G. Molina-Terriza, and L. Torner, J. Opt. B 7, 235 (2005).
[CrossRef]

Nagano, S.

Nilsson, J.

O’Brien, J. L.

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photonics 3, 687 (2009).

Ostrowsky, D. B.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

Pan, G.-S.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Pan, J.-W.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Pasiskevicius, V.

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

Peng, C.-Z.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Qin, Y. Q.

Richardson, D. J.

Rubin, M. H.

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

Sergienko, A. V.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Shapiro, J. H.

C. E. Kuklewicz, M. Fiorentino, G. Messin, F. N. C. Wong, and J. H. Shapiro, Phys. Rev. A 69, 013807 (2004).
[CrossRef]

Shih, Y.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Shimizu, R.

Sinha, K.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

Smith, P. G. R.

Suizu, K.

Suzuki, H.

Syouji, A.

Tanzilli, S.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

Thyagarajan, K.

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

Torner, L.

J. P. Torres, G. Molina-Terriza, and L. Torner, J. Opt. B 7, 235 (2005).
[CrossRef]

Torres, J. P.

J. P. Torres, G. Molina-Terriza, and L. Torner, J. Opt. B 7, 235 (2005).
[CrossRef]

Tsuchida, H.

A. Yoshizawa and H. Tsuchida, Appl. Phys. Lett. 85, 2457 (2004).
[CrossRef]

Ueno, W.

Vuckovic, J.

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photonics 3, 687 (2009).

Waks, E.

P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, Phys. Rev. A 60, R773 (1999).
[CrossRef]

Walmsley, I. A.

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

Wang, J. F.

Wang, T.-X.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Weinfurter, H.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

White, A. G.

P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, Phys. Rev. A 60, R773 (1999).
[CrossRef]

Wong, F. N. C.

T. Kim, M. Fiorentino, and F. N. C. Wong, Phys. Rev. A 73, 012316 (2006).
[CrossRef]

C. E. Kuklewicz, M. Fiorentino, G. Messin, F. N. C. Wong, and J. H. Shapiro, Phys. Rev. A 69, 013807 (2004).
[CrossRef]

Xie, Z. D.

Xie, Z.-D.

Y.-X. Gong, Z.-D. Xie, P. Xu, X.-Q. Yu, P. Xue, and S.-N. Zhu, Phys. Rev. A 84, 053825 (2011).
[CrossRef]

Xu, P.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Y.-X. Gong, Z.-D. Xie, P. Xu, X.-Q. Yu, P. Xue, and S.-N. Zhu, Phys. Rev. A 84, 053825 (2011).
[CrossRef]

P. Xu, Z. D. Xie, H. Y. Leng, J. S. Zhao, J. F. Wang, X. Q. Yu, Y. Q. Qin, and S. N. Zhu, Opt. Lett. 33, 2791 (2008).
[CrossRef]

Xue, P.

Y.-X. Gong, Z.-D. Xie, P. Xu, X.-Q. Yu, P. Xue, and S.-N. Zhu, Phys. Rev. A 84, 053825 (2011).
[CrossRef]

Yao, X.-C.

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Yoshizawa, A.

A. Yoshizawa and H. Tsuchida, Appl. Phys. Lett. 85, 2457 (2004).
[CrossRef]

Yu, X. Q.

Yu, X.-Q.

Y.-X. Gong, Z.-D. Xie, P. Xu, X.-Q. Yu, P. Xue, and S.-N. Zhu, Phys. Rev. A 84, 053825 (2011).
[CrossRef]

Zeilinger, A.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Zhao, J. S.

Zhu, S. N.

Zhu, S.-N.

Y.-X. Gong, Z.-D. Xie, P. Xu, X.-Q. Yu, P. Xue, and S.-N. Zhu, Phys. Rev. A 84, 053825 (2011).
[CrossRef]

Appl. Phys. Lett.

A. Yoshizawa and H. Tsuchida, Appl. Phys. Lett. 85, 2457 (2004).
[CrossRef]

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

J. Opt. B

J. P. Torres, G. Molina-Terriza, and L. Torner, J. Opt. B 7, 235 (2005).
[CrossRef]

Nat. Photonics

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photonics 3, 687 (2009).

X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Photonics 6, 225 (2012).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rep.

M. Genovese, Phys. Rep. 413, 319 (2005).
[CrossRef]

Phys. Rev. A

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]

Y.-X. Gong, Z.-D. Xie, P. Xu, X.-Q. Yu, P. Xue, and S.-N. Zhu, Phys. Rev. A 84, 053825 (2011).
[CrossRef]

T. Kim, M. Fiorentino, and F. N. C. Wong, Phys. Rev. A 73, 012316 (2006).
[CrossRef]

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, Phys. Rev. A 80, 052321 (2009).
[CrossRef]

P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, Phys. Rev. A 60, R773 (1999).
[CrossRef]

C. E. Kuklewicz, M. Fiorentino, G. Messin, F. N. C. Wong, and J. H. Shapiro, Phys. Rev. A 69, 013807 (2004).
[CrossRef]

Phys. Rev. Lett.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

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Figures (1)

Fig. 1.
Fig. 1.

(a) Schematic of polarization entanglement generation using a hexagonal inverted domain χ(2) NPC. Lowercase letters and numbers label the beams. PBS, polarizing beam splitter; HWP, half-wave plate set at 45°. (b) Reciprocal lattice of the crystal. Thick grey arrows represent pump, signal, and idler wave vectors. Thin black arrows represent reciprocal vectors. The first Brillouin zone with the usual Γ, M, and K points is represented on the right. (c) Transverse pattern of the parametric light in the Fourier plane.

Equations (14)

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

|G⃗m,n|=4π3Λm2+n2+mn,
χ(2)(r⃗)=dm,nGm,neiG⃗m,n·r⃗,
Gm,n=2RΛm2+n2+mnJ1(4πR3Λm2+n2+mn),
Δk1=k⃗p,HOEk⃗s,HOAk⃗i,HACG⃗1,0CE=0,
Δk2=k⃗p,HOEk⃗s,HOBk⃗i,VBDG⃗0,1DE=0,
|G⃗1,0|=|G⃗0,1|=4π3Λ,G1,0=G0,1=2RΛJ1(4πR3Λ).
α=arcsin|G⃗1,0|2(|k⃗s,H|+|k⃗i,V|).
|Ψ=|vac+AdνΦ(ν)[|H(Ωs+ν)u|V(Ωiν)u+|H(Ωs+ν)d|V(Ωiν)d]+,
Φ(ν)=eiLΔkz2sincLΔkz2,
ΔkzνDcosα,D=1/uH(Ωs)1/uV(Ωi),
|Φ(ν)|2=sinc2LνDcosα2,
A=iEpLdG1,02cΩsΩins,Hni,V,
|Ψout=AdνΦ(ν)[|H(Ωs+ν)1|V(Ωiν)2+eiφ|V(Ωs+ν)1|H(Ωiν)2],
R=Ψout|Ψout=2πd2G1,02LPΩsΩiε0npc3Sns,Hni,V|D|cosα.

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