Abstract

We report what is, to the best of our knowledge, the first experiment on third-order optical difference frequency generation. The nonlinear medium is a phase-matched KTiOPO4 crystal pumped at 532 and 1665 nm in the picosecond regime. The proposed experimental configuration leads to an efficient and pure cubic process, with generation of 4.5 µJ/pulse at 1474 nm. This result opens the way to new quantum experiments on three-photon Greenberger–Horne–Zeilinger entanglement.

© 2004 Optical Society of America

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  1. D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990).
    [Crossref]
  2. K. Banaszek and P. L. Knight, Phys. Rev. A 55, 2368 (1997).
    [Crossref]
  3. S. L. Braunstein and R. I. McLachlan, Phys. Rev. A 35, 1659 (1987).
    [Crossref] [PubMed]
  4. A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 47, 460 (1981).
    [Crossref]
  5. D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345 (1999).
    [Crossref]
  6. J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 86, 4435 (2001).
    [Crossref] [PubMed]
  7. J. P. Fève, B. Boulanger, and J. Douady, Phys. Rev. A 66, 063817 (2002).
    [Crossref]
  8. B. Boulanger, J. P. Fève, P. Delarue, I. Rousseau, and G. Marnier, J. Phys. B 32, 475 (1999).
    [Crossref]
  9. J. P. Fève and B. Boulanger, Phys. Rev. A 65, 063814 (2002).
    [Crossref]
  10. K. Kato, IEEE J. Quantum Electron. 27, 1137 (1991).
    [Crossref]
  11. J. Bajer, J. Mod. Opt. 38, 1085 (1991).
    [Crossref]
  12. T. Felbinger, S. Schiller, and J. Mlynek, Phys. Rev. Lett. 80, 492 (1998).
    [Crossref]

2002 (2)

J. P. Fève, B. Boulanger, and J. Douady, Phys. Rev. A 66, 063817 (2002).
[Crossref]

J. P. Fève and B. Boulanger, Phys. Rev. A 65, 063814 (2002).
[Crossref]

2001 (1)

J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 86, 4435 (2001).
[Crossref] [PubMed]

1999 (2)

B. Boulanger, J. P. Fève, P. Delarue, I. Rousseau, and G. Marnier, J. Phys. B 32, 475 (1999).
[Crossref]

D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345 (1999).
[Crossref]

1998 (1)

T. Felbinger, S. Schiller, and J. Mlynek, Phys. Rev. Lett. 80, 492 (1998).
[Crossref]

1997 (1)

K. Banaszek and P. L. Knight, Phys. Rev. A 55, 2368 (1997).
[Crossref]

1991 (2)

K. Kato, IEEE J. Quantum Electron. 27, 1137 (1991).
[Crossref]

J. Bajer, J. Mod. Opt. 38, 1085 (1991).
[Crossref]

1990 (1)

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990).
[Crossref]

1987 (1)

S. L. Braunstein and R. I. McLachlan, Phys. Rev. A 35, 1659 (1987).
[Crossref] [PubMed]

1981 (1)

A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 47, 460 (1981).
[Crossref]

Aspect, A.

A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 47, 460 (1981).
[Crossref]

Bajer, J.

J. Bajer, J. Mod. Opt. 38, 1085 (1991).
[Crossref]

Banaszek, K.

K. Banaszek and P. L. Knight, Phys. Rev. A 55, 2368 (1997).
[Crossref]

Boulanger, B.

J. P. Fève and B. Boulanger, Phys. Rev. A 65, 063814 (2002).
[Crossref]

J. P. Fève, B. Boulanger, and J. Douady, Phys. Rev. A 66, 063817 (2002).
[Crossref]

B. Boulanger, J. P. Fève, P. Delarue, I. Rousseau, and G. Marnier, J. Phys. B 32, 475 (1999).
[Crossref]

Bouwmeester, D.

D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345 (1999).
[Crossref]

Braunstein, S. L.

S. L. Braunstein and R. I. McLachlan, Phys. Rev. A 35, 1659 (1987).
[Crossref] [PubMed]

Daniell, M.

J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 86, 4435 (2001).
[Crossref] [PubMed]

D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345 (1999).
[Crossref]

Delarue, P.

B. Boulanger, J. P. Fève, P. Delarue, I. Rousseau, and G. Marnier, J. Phys. B 32, 475 (1999).
[Crossref]

Douady, J.

J. P. Fève, B. Boulanger, and J. Douady, Phys. Rev. A 66, 063817 (2002).
[Crossref]

Felbinger, T.

T. Felbinger, S. Schiller, and J. Mlynek, Phys. Rev. Lett. 80, 492 (1998).
[Crossref]

Fève, J. P.

J. P. Fève and B. Boulanger, Phys. Rev. A 65, 063814 (2002).
[Crossref]

J. P. Fève, B. Boulanger, and J. Douady, Phys. Rev. A 66, 063817 (2002).
[Crossref]

B. Boulanger, J. P. Fève, P. Delarue, I. Rousseau, and G. Marnier, J. Phys. B 32, 475 (1999).
[Crossref]

Gasparoni, S.

J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 86, 4435 (2001).
[Crossref] [PubMed]

Grangier, P.

A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 47, 460 (1981).
[Crossref]

Greenberger, D. M.

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990).
[Crossref]

Horne, M. A.

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990).
[Crossref]

Kato, K.

K. Kato, IEEE J. Quantum Electron. 27, 1137 (1991).
[Crossref]

Knight, P. L.

K. Banaszek and P. L. Knight, Phys. Rev. A 55, 2368 (1997).
[Crossref]

Marnier, G.

B. Boulanger, J. P. Fève, P. Delarue, I. Rousseau, and G. Marnier, J. Phys. B 32, 475 (1999).
[Crossref]

McLachlan, R. I.

S. L. Braunstein and R. I. McLachlan, Phys. Rev. A 35, 1659 (1987).
[Crossref] [PubMed]

Mlynek, J.

T. Felbinger, S. Schiller, and J. Mlynek, Phys. Rev. Lett. 80, 492 (1998).
[Crossref]

Pan, J. W.

J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 86, 4435 (2001).
[Crossref] [PubMed]

D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345 (1999).
[Crossref]

Roger, G.

A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 47, 460 (1981).
[Crossref]

Rousseau, I.

B. Boulanger, J. P. Fève, P. Delarue, I. Rousseau, and G. Marnier, J. Phys. B 32, 475 (1999).
[Crossref]

Schiller, S.

T. Felbinger, S. Schiller, and J. Mlynek, Phys. Rev. Lett. 80, 492 (1998).
[Crossref]

Shimony, A.

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990).
[Crossref]

Weihs, G.

J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 86, 4435 (2001).
[Crossref] [PubMed]

Weinfurter, H.

D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345 (1999).
[Crossref]

Zeilinger, A.

J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 86, 4435 (2001).
[Crossref] [PubMed]

D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345 (1999).
[Crossref]

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990).
[Crossref]

Am. J. Phys. (1)

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990).
[Crossref]

IEEE J. Quantum Electron. (1)

K. Kato, IEEE J. Quantum Electron. 27, 1137 (1991).
[Crossref]

J. Mod. Opt. (1)

J. Bajer, J. Mod. Opt. 38, 1085 (1991).
[Crossref]

J. Phys. B (1)

B. Boulanger, J. P. Fève, P. Delarue, I. Rousseau, and G. Marnier, J. Phys. B 32, 475 (1999).
[Crossref]

Phys. Rev. A (4)

J. P. Fève and B. Boulanger, Phys. Rev. A 65, 063814 (2002).
[Crossref]

K. Banaszek and P. L. Knight, Phys. Rev. A 55, 2368 (1997).
[Crossref]

S. L. Braunstein and R. I. McLachlan, Phys. Rev. A 35, 1659 (1987).
[Crossref] [PubMed]

J. P. Fève, B. Boulanger, and J. Douady, Phys. Rev. A 66, 063817 (2002).
[Crossref]

Phys. Rev. Lett. (4)

A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 47, 460 (1981).
[Crossref]

D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 82, 1345 (1999).
[Crossref]

J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 86, 4435 (2001).
[Crossref] [PubMed]

T. Felbinger, S. Schiller, and J. Mlynek, Phys. Rev. Lett. 80, 492 (1998).
[Crossref]

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Figures (2)

Fig. 1
Fig. 1

Photonic diagrams of DFG with ω1=ω4-ω3-ω2: splitting of the incoming photon at ω4 into a single photon triple at ω1,ω2,ω3 is induced by the other two incoming photons at ω2 and ω3.

Fig. 2
Fig. 2

Generated energy per pulse, ξ1, measured at 1474 nm as a function of the pump energy per pulse at 532 nm ξ4. The injection energy at 1665 nm is taken at 100 µJ/pulse. The squares are the experimental data, and the straight line is the associated linear fit.

Equations (3)

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

χ2Ωa=ω2+ω3:χ2ω1=ω4-Ωa,χ2Ωb=ω4-ω2:χ2ω1=Ωb-ω3,
χ2Ωc=ω4-ω3:χ2ω1=Ωc-ω2.
ξ1Leff=fξ20ξ30ξ40Leff2.

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