Abstract

We report the simultaneous quasi-phase-matching of all three possible nonlinearities for propagation along the X axis of periodically poled (PP) KTiOPO4 (KTP) for second-harmonic generation of 745 nm pulsed light from 1490 nm subpicosecond pulses in a PPKTP crystal with a 45.65μm poling period. This confirms the recent Sellmeier fits for KTP by Kato and Takaoka [Appl. Opt. 41, 5040 (2002)] . Such coincident nonlinearities are of importance for realizing compact sources of multipartite continuous-variable entanglement [ Pfister et al., Phys. Rev. A 70, 020302 (2004) ], and we propose a new simpler method for entangling four fields on the basis of this triple coincidence.

© 2005 Optical Society of America

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  1. S. L. Braunstein and A. K. Pati, eds., Quantum Information with Continuous Variables (Kluwer, 2003).
    [CrossRef]
  2. S. L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005).
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  8. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
    [CrossRef]
  9. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
    [CrossRef]
  10. W. P. Risk and G. M. Loiacono, Appl. Phys. Lett. 69, 311 (1996).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
  17. Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
    [CrossRef] [PubMed]

2005 (1)

S. L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005).
[CrossRef]

2004 (2)

H. Yonezawa, T. Aoki, and A. Furusawa, Nature 431, 430 (2004).
[CrossRef] [PubMed]

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

2003 (1)

2002 (2)

2000 (1)

P. van Loock and S. L. Braunstein, Phys. Rev. Lett. 84, 3482 (2000).
[CrossRef] [PubMed]

1997 (2)

1996 (1)

W. P. Risk and G. M. Loiacono, Appl. Phys. Lett. 69, 311 (1996).
[CrossRef]

1995 (1)

1992 (2)

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

1988 (1)

M. D. Reid and P. D. Drummond, Phys. Rev. Lett. 60, 2731 (1988).
[CrossRef] [PubMed]

1962 (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Aoki, T.

H. Yonezawa, T. Aoki, and A. Furusawa, Nature 431, 430 (2004).
[CrossRef] [PubMed]

Arie, A.

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Bosenberg, W. R.

Braunstein, S. L.

S. L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005).
[CrossRef]

P. van Loock and S. L. Braunstein, Phys. Rev. Lett. 84, 3482 (2000).
[CrossRef] [PubMed]

Byer, R. L.

L. E. Myers, R. C. Eckardt, M. M. Fejer, R. L. Byer, W. R. Bosenberg, and J. W. Pierce, J. Opt. Soc. Am. B 12, 2102 (1995).
[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Drummond, P. D.

M. D. Reid and P. D. Drummond, Phys. Rev. Lett. 60, 2731 (1988).
[CrossRef] [PubMed]

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Eckardt, R. C.

Eger, D.

Emanueli, S.

Englander, A.

Fejer, M. M.

L. E. Myers, R. C. Eckardt, M. M. Fejer, R. L. Byer, W. R. Bosenberg, and J. W. Pierce, J. Opt. Soc. Am. B 12, 2102 (1995).
[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Feng, S.

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Furusawa, A.

H. Yonezawa, T. Aoki, and A. Furusawa, Nature 431, 430 (2004).
[CrossRef] [PubMed]

Hollberg, L.

Holmgren, S. J.

Jennings, G.

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Jundt, D. H.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Kato, K.

Katz, M.

Kimble, H. J.

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

Laurell, F.

Lavi, R.

Lebiush, E.

Levenson, M. D.

Loiacono, G. M.

W. P. Risk and G. M. Loiacono, Appl. Phys. Lett. 69, 311 (1996).
[CrossRef]

Magel, G. A.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

Myers, L. E.

Oron, M.

Ou, Z. Y.

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

Pasiskevicius, V.

Peng, K. C.

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

Pereira, S. F.

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

Pershan, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Pfister, O.

Pierce, J. W.

Pooser, R.

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Reid, M. D.

M. D. Reid and P. D. Drummond, Phys. Rev. Lett. 60, 2731 (1988).
[CrossRef] [PubMed]

Risk, W. P.

W. P. Risk and G. M. Loiacono, Appl. Phys. Lett. 69, 311 (1996).
[CrossRef]

Rosenman, I. G.

Skliar, A.

Takaoka, E.

Van Baak, D. A.

van Loock, P.

S. L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005).
[CrossRef]

P. van Loock and S. L. Braunstein, Phys. Rev. Lett. 84, 3482 (2000).
[CrossRef] [PubMed]

Wang, S.

Wells, J. S.

Xie, D.

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Yonezawa, H.

H. Yonezawa, T. Aoki, and A. Furusawa, Nature 431, 430 (2004).
[CrossRef] [PubMed]

Zink, L.

Appl. Opt. (2)

Appl. Phys. Lett. (1)

W. P. Risk and G. M. Loiacono, Appl. Phys. Lett. 69, 311 (1996).
[CrossRef]

IEEE J. Quantum Electron. (1)

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. 28, 2631 (1992).
[CrossRef]

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

Nature (1)

H. Yonezawa, T. Aoki, and A. Furusawa, Nature 431, 430 (2004).
[CrossRef] [PubMed]

Opt. Lett. (3)

Phys. Rev. (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Phys. Rev. A (1)

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Phys. Rev. Lett. (3)

P. van Loock and S. L. Braunstein, Phys. Rev. Lett. 84, 3482 (2000).
[CrossRef] [PubMed]

M. D. Reid and P. D. Drummond, Phys. Rev. Lett. 60, 2731 (1988).
[CrossRef] [PubMed]

Z. Y. Ou, S. F. Pereira, H. J. Kimble, and K. C. Peng, Phys. Rev. Lett. 68, 3663 (1992).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

S. L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005).
[CrossRef]

Other (2)

S. L. Braunstein and A. K. Pati, eds., Quantum Information with Continuous Variables (Kluwer, 2003).
[CrossRef]

A. S. Bradley, M. K. Olsen, O. Pfister, and R. C. Pooser, submitted, ArXiv preprint quant-ph/0505131.

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Figures (4)

Fig. 1
Fig. 1

Theoretical QPM SHG solutions for Λ Y Z Y , 2 Λ Z Z Z , and 7 Λ Z Y Y , which are the only interactions corresponding to nonzero nonlinear tensor elements in KTP, for propagation along the X axis. All other harmonics are out of range. The n th subharmonic has an effective nonlinear coefficient[9] 2 d π n ; hence we sought the lowest orders. Dashed curves, poling periods calculated by using the Sellmeier equations from Emanueli and Arie,[14] solid curves, poling periods calculated by using Sellmeier equations from Kato and Takaoka.[13] Horizontal dotted line, the chosen poling period of the PPKTP crystal at 45.65 μ m .

Fig. 2
Fig. 2

Experimental setup. The polarizer P1 and waveplate combination was used to adjust input power and polarization, while polarizer P2 was used to analyze the output incident on the spectrometer. A Si photodiode detected the ouput of the spectrometer, which was set to scan over the wavelength range of interest.

Fig. 3
Fig. 3

Output SHG powers of the three coincident nonlinear processes at 22°C, normalized to the same scale (slightly different total input powers were used in each case). Gaussian curves were fitted to the data to determine the center wavelength of each signal (see text).

Fig. 4
Fig. 4

Quadripartite CV entangler based on the triple concurrence observed in this work. The horizontal separation of input and output beams refers to their frequencies, not their wave vectors, which all overlap. A frequency scale factor of 2 has been applied between the input (pump) and output (signal) OPO beams. As previously, letters y and z denote the optical polarization direction of the concerned field with respect to the crystal’s axes.

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