Abstract

We report the observation of beatings of the coincidence event rate in a Hong–Ou–Mandel interference (HOMI) between signal and idler photons from a parametric downconversion (PDC) process inside a multimode KTP waveguide. As an explanation we introduce biphotonic states entangled in their broadband frequency modes generated by waveguide mode triples and propose a suitable entanglement detection scheme.

© 2008 Optical Society of America

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  1. A. B. U'Ren, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comput. 3, 480 (2003).
  2. L. A. Lugiato, A. Gatti, and E. Brambilla, J. Opt. B 4, S176 (2002).
    [CrossRef]
  3. S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
    [CrossRef]
  4. M. E. Anderson, M. Beck, M. G. Raymer, and J. D. Bierlein, Opt. Lett. 20, 620 (1995).
    [CrossRef] [PubMed]
  5. A. B. U'Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, Phys. Rev. Lett. 93, 093601 (2004).
    [CrossRef] [PubMed]
  6. K. Banaszek, A. B. U'Ren, and I. A. Walmsley, Opt. Lett. 26, 1367 (2001).
    [CrossRef]
  7. S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
    [CrossRef]
  8. C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
    [CrossRef] [PubMed]
  9. D. Branning, W. Grice, R. Erdmann, and I. A. Walmsley, Phys. Rev. A 62, 013814 (2000).
    [CrossRef]
  10. M. Michler, K. Mattle, H. Weinfurter, and A. Zeilinger, Phys. Rev. A 53, R1209 (1996).
    [CrossRef] [PubMed]
  11. M. Atatüre, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. Lett. 86, 4013 (2001).
    [CrossRef] [PubMed]
  12. W. A. T. Nogueira, S. P. Walborn, S. Pádua, and C. H. Monken, Phys. Rev. Lett. 86, 4009 (2001).
    [CrossRef] [PubMed]
  13. Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 54 (1988).
    [CrossRef] [PubMed]
  14. J. G. Rarity and P. R. Tapster, Phys. Rev. A 41, 5139 (1990).
    [CrossRef] [PubMed]
  15. H. Kim, J. Ko, and T. Kim, J. Opt. Soc. Am. B 20, 760 (2003).
    [CrossRef]
  16. B. Dayan, Y. Bromberg, I. Afek, and Y. Silberberg, Phys. Rev. A 75, 043804 (2007).
    [CrossRef]
  17. S. L. Braunstein and A. Mann, Phys. Rev. A 51, R1727 (1995).
    [CrossRef] [PubMed]
  18. Y. H. S. Shih and A. V. Sergienko, Phys. Lett. A 191, 201 (1994).
    [CrossRef]

2007

B. Dayan, Y. Bromberg, I. Afek, and Y. Silberberg, Phys. Rev. A 75, 043804 (2007).
[CrossRef]

2004

A. B. U'Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

2003

A. B. U'Ren, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comput. 3, 480 (2003).

H. Kim, J. Ko, and T. Kim, J. Opt. Soc. Am. B 20, 760 (2003).
[CrossRef]

2002

L. A. Lugiato, A. Gatti, and E. Brambilla, J. Opt. B 4, S176 (2002).
[CrossRef]

2001

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

M. Atatüre, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. Lett. 86, 4013 (2001).
[CrossRef] [PubMed]

W. A. T. Nogueira, S. P. Walborn, S. Pádua, and C. H. Monken, Phys. Rev. Lett. 86, 4009 (2001).
[CrossRef] [PubMed]

K. Banaszek, A. B. U'Ren, and I. A. Walmsley, Opt. Lett. 26, 1367 (2001).
[CrossRef]

2000

D. Branning, W. Grice, R. Erdmann, and I. A. Walmsley, Phys. Rev. A 62, 013814 (2000).
[CrossRef]

1996

M. Michler, K. Mattle, H. Weinfurter, and A. Zeilinger, Phys. Rev. A 53, R1209 (1996).
[CrossRef] [PubMed]

1995

1994

Y. H. S. Shih and A. V. Sergienko, Phys. Lett. A 191, 201 (1994).
[CrossRef]

1990

J. G. Rarity and P. R. Tapster, Phys. Rev. A 41, 5139 (1990).
[CrossRef] [PubMed]

1988

Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 54 (1988).
[CrossRef] [PubMed]

1987

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

Afek, I.

B. Dayan, Y. Bromberg, I. Afek, and Y. Silberberg, Phys. Rev. A 75, 043804 (2007).
[CrossRef]

Anderson, M. E.

Atatüre, M.

M. Atatüre, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. Lett. 86, 4013 (2001).
[CrossRef] [PubMed]

Baldi, P.

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

Banaszek, K.

A. B. U'Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

A. B. U'Ren, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comput. 3, 480 (2003).

K. Banaszek, A. B. U'Ren, and I. A. Walmsley, Opt. Lett. 26, 1367 (2001).
[CrossRef]

Beck, M.

Bierlein, J. D.

Brambilla, E.

L. A. Lugiato, A. Gatti, and E. Brambilla, J. Opt. B 4, S176 (2002).
[CrossRef]

Branning, D.

D. Branning, W. Grice, R. Erdmann, and I. A. Walmsley, Phys. Rev. A 62, 013814 (2000).
[CrossRef]

Braunstein, S. L.

S. L. Braunstein and A. Mann, Phys. Rev. A 51, R1727 (1995).
[CrossRef] [PubMed]

Bromberg, Y.

B. Dayan, Y. Bromberg, I. Afek, and Y. Silberberg, Phys. Rev. A 75, 043804 (2007).
[CrossRef]

Carrasco, S.

S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

Dayan, B.

B. Dayan, Y. Bromberg, I. Afek, and Y. Silberberg, Phys. Rev. A 75, 043804 (2007).
[CrossRef]

de Micheli, M.

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

de Riedmatten, H.

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

Erdmann, R.

D. Branning, W. Grice, R. Erdmann, and I. A. Walmsley, Phys. Rev. A 62, 013814 (2000).
[CrossRef]

Gatti, A.

L. A. Lugiato, A. Gatti, and E. Brambilla, J. Opt. B 4, S176 (2002).
[CrossRef]

Gisin, N.

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

Grice, W.

D. Branning, W. Grice, R. Erdmann, and I. A. Walmsley, Phys. Rev. A 62, 013814 (2000).
[CrossRef]

Hong, C. K.

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

Kim, H.

Kim, T.

Ko, J.

Lugiato, L. A.

L. A. Lugiato, A. Gatti, and E. Brambilla, J. Opt. B 4, S176 (2002).
[CrossRef]

Mandel, L.

Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 54 (1988).
[CrossRef] [PubMed]

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

Mann, A.

S. L. Braunstein and A. Mann, Phys. Rev. A 51, R1727 (1995).
[CrossRef] [PubMed]

Mattle, K.

M. Michler, K. Mattle, H. Weinfurter, and A. Zeilinger, Phys. Rev. A 53, R1209 (1996).
[CrossRef] [PubMed]

Michler, M.

M. Michler, K. Mattle, H. Weinfurter, and A. Zeilinger, Phys. Rev. A 53, R1209 (1996).
[CrossRef] [PubMed]

Monken, C. H.

W. A. T. Nogueira, S. P. Walborn, S. Pádua, and C. H. Monken, Phys. Rev. Lett. 86, 4009 (2001).
[CrossRef] [PubMed]

Nogueira, W. A. T.

W. A. T. Nogueira, S. P. Walborn, S. Pádua, and C. H. Monken, Phys. Rev. Lett. 86, 4009 (2001).
[CrossRef] [PubMed]

Ostrowsky, D. B.

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

Ou, Z. Y.

Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 54 (1988).
[CrossRef] [PubMed]

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

Pádua, S.

W. A. T. Nogueira, S. P. Walborn, S. Pádua, and C. H. Monken, Phys. Rev. Lett. 86, 4009 (2001).
[CrossRef] [PubMed]

Rarity, J. G.

J. G. Rarity and P. R. Tapster, Phys. Rev. A 41, 5139 (1990).
[CrossRef] [PubMed]

Raymer, M. G.

Saleh, B. E. A.

S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

M. Atatüre, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. Lett. 86, 4013 (2001).
[CrossRef] [PubMed]

Sergienko, A.

S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

Sergienko, A. V.

M. Atatüre, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. Lett. 86, 4013 (2001).
[CrossRef] [PubMed]

Y. H. S. Shih and A. V. Sergienko, Phys. Lett. A 191, 201 (1994).
[CrossRef]

Shih, Y. H. S.

Y. H. S. Shih and A. V. Sergienko, Phys. Lett. A 191, 201 (1994).
[CrossRef]

Silberberg, Y.

B. Dayan, Y. Bromberg, I. Afek, and Y. Silberberg, Phys. Rev. A 75, 043804 (2007).
[CrossRef]

Silberhorn, C.

A. B. U'Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

Tanzilli, S.

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

Tapster, P. R.

J. G. Rarity and P. R. Tapster, Phys. Rev. A 41, 5139 (1990).
[CrossRef] [PubMed]

Teich, M. C.

S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

M. Atatüre, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. Lett. 86, 4013 (2001).
[CrossRef] [PubMed]

Tittel, W.

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

Torner, L.

S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

Torres, J. P.

S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

U'Ren, A. B.

A. B. U'Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

A. B. U'Ren, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comput. 3, 480 (2003).

K. Banaszek, A. B. U'Ren, and I. A. Walmsley, Opt. Lett. 26, 1367 (2001).
[CrossRef]

Walborn, S. P.

W. A. T. Nogueira, S. P. Walborn, S. Pádua, and C. H. Monken, Phys. Rev. Lett. 86, 4009 (2001).
[CrossRef] [PubMed]

Walmsley, I. A.

A. B. U'Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

A. B. U'Ren, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comput. 3, 480 (2003).

K. Banaszek, A. B. U'Ren, and I. A. Walmsley, Opt. Lett. 26, 1367 (2001).
[CrossRef]

D. Branning, W. Grice, R. Erdmann, and I. A. Walmsley, Phys. Rev. A 62, 013814 (2000).
[CrossRef]

Weinfurter, H.

M. Michler, K. Mattle, H. Weinfurter, and A. Zeilinger, Phys. Rev. A 53, R1209 (1996).
[CrossRef] [PubMed]

Zbinden, H.

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

Zeilinger, A.

M. Michler, K. Mattle, H. Weinfurter, and A. Zeilinger, Phys. Rev. A 53, R1209 (1996).
[CrossRef] [PubMed]

Electron. Lett.

S. Tanzilli, H. de Riedmatten, W. Tittel, H. Zbinden, P. Baldi, M. de Micheli, D. B. Ostrowsky, and N. Gisin, Electron. Lett. 37, 26 (2001).
[CrossRef]

J. Opt. B

L. A. Lugiato, A. Gatti, and E. Brambilla, J. Opt. B 4, S176 (2002).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Lett. A

Y. H. S. Shih and A. V. Sergienko, Phys. Lett. A 191, 201 (1994).
[CrossRef]

Phys. Rev. A

B. Dayan, Y. Bromberg, I. Afek, and Y. Silberberg, Phys. Rev. A 75, 043804 (2007).
[CrossRef]

S. L. Braunstein and A. Mann, Phys. Rev. A 51, R1727 (1995).
[CrossRef] [PubMed]

D. Branning, W. Grice, R. Erdmann, and I. A. Walmsley, Phys. Rev. A 62, 013814 (2000).
[CrossRef]

M. Michler, K. Mattle, H. Weinfurter, and A. Zeilinger, Phys. Rev. A 53, R1209 (1996).
[CrossRef] [PubMed]

S. Carrasco, J. P. Torres, L. Torner, A. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 70, 043817 (2004).
[CrossRef]

J. G. Rarity and P. R. Tapster, Phys. Rev. A 41, 5139 (1990).
[CrossRef] [PubMed]

Phys. Rev. Lett.

C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).
[CrossRef] [PubMed]

M. Atatüre, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. Lett. 86, 4013 (2001).
[CrossRef] [PubMed]

W. A. T. Nogueira, S. P. Walborn, S. Pádua, and C. H. Monken, Phys. Rev. Lett. 86, 4009 (2001).
[CrossRef] [PubMed]

Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 54 (1988).
[CrossRef] [PubMed]

A. B. U'Ren, C. Silberhorn, K. Banaszek, and I. A. Walmsley, Phys. Rev. Lett. 93, 093601 (2004).
[CrossRef] [PubMed]

Quantum Inf. Comput.

A. B. U'Ren, K. Banaszek, and I. A. Walmsley, Quantum Inf. Comput. 3, 480 (2003).

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Figures (3)

Fig. 1
Fig. 1

(a),(b) Shape of joint spectral amplitudes for combinations of lowest-order Hermite functions and (c) shape of superimposed PDC processes.

Fig. 2
Fig. 2

Experimental setup.

Fig. 3
Fig. 3

(c) Experimental results from two HOM measurements with (a),(b) different pump modes; visibility of theory curves (dashed curves) fitted to match observed visibilities.

Equations (10)

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

A ̂ f = d ω f ( ω ) a ̂ ( ω ) ,
ψ = 1 2 [ A ̂ u 0 B ̂ u 1 A ̂ u 1 B ̂ u 0 ] 0 ,
p ( τ ) = 1 2 1 2 Re [ d ω s d ω i f * ( ω s , ω i ) f ( ω i , ω s ) e ı τ ( ω s ω i ) ] d ω s d ω i f ( ω s , ω i ) 2 .
p ( τ ) = 1 2 1 2 d ω f 1 * ( ω ) f 2 ( ω ) e ı τ ω 2 d ω f 1 ( ω ) 2 d ω f 2 ( ω ) 2 ,
p ( τ ) > 0.5 ψ s , i ψ s ψ i .
α ( ω s + ω i ) = e ( 2 ω c ω s ω i ) 2 2 σ 2 ,
Φ ( ω s , ω i ) = sinc ( Δ k L 2 ) e ı Δ k L 2 ,
f ± ( ω s , ω i ) = α ( ω s + ω i ) Φ ( ω s ± Δ ω 2 , ω i Δ ω 2 ) ,
F ( ω s , ω i ) = f + ( ω s , ω i ) + re ı φ f ( ω s , ω i ) .
p ( τ ) = 1 2 e ( τ τ ) 2 2 γ τ 2 2 C + e C C + + ρ cos ( Δ ω τ φ ) 1 + e C ρ cos ( Δ ω τ φ ) ,

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