Abstract

We propose an adaptive waveform-control approach to optimize photon-number squeezing by the nonlinear fiber spectral filtering method. More than -8‐dB squeezing of the sech envelope pulse is numerically predicted when the spectral phase is modulated before the pulse is sent to a fiber. The quantum cross correlations of the photon-number fluctuation become uniformly negative when the pulse is optimally shaped.

© 2001 Optical Society of America

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  1. S. R. Friberg, S. Machida, M. J. Werner, A. Levanon, and T. Mukai, “Observation of optical soliton photon-number squeezing,” Phys. Rev. Lett. 77, 3775–3778 (1996).
    [CrossRef] [PubMed]
  2. S. Spälter, M. Burk, U. Strössner, M. Böhm, A. Sizmann, and G. Leuchs, “Photon number squeezing of spectrally filtered sub-picosecond optical solitons,” Europhys. Lett. 38, 335–340 (1997).
    [CrossRef]
  3. S. Spälter, M. Burk, U. Strössner, A. Sizmann, and G. Leuchs, “Propagation of quantum properties of sub-picosecond solitons in a fiber,” Opt. Express 2, 77–83 (1998), http://www.opticsexpress.org .
    [CrossRef]
  4. M. J. Werner and S. R. Friberg, “Phase transitions and internal noise structure of nonlinear Schrödinger equation solitons,” Phys. Rev. Lett. 79, 4143 (1997).
    [CrossRef]
  5. A. Mecozzi and P. Kumar, “Linearized quantum-fluctuation theory of spectrally filtered optical solitons,” Opt. Lett. 22, 1232–1234 (1997).
    [CrossRef] [PubMed]
  6. S. Spälter, N. Korolkova, F. König, A. Sizmann, and G. Leuchs, “Observation of multimode quantum correlations in fiber optical solitons,” Phys. Rev. Lett. 81, 786–789 (1998).
    [CrossRef]
  7. D. Levandovsky, M. Vasilyev, and P. Kumar, “Perturbation theory of quantum solitons: continuum evolution and optimum squeezing by spectral filtering,” Opt. Lett. 24, 43–45 (1999).
    [CrossRef]
  8. N. Nishizawa, T. Horio, M. Mori, K. Yamane, and T. Goto, “Effect of group-velocity dispersion on photon-number squeezing of optical pulses using optical fibers and spectral filter,” Jpn. J. Appl. Phys. 38, 1961–1965 (1999).
    [CrossRef]
  9. A. M. Weiner, “Femtosecond optical pulse shaping and processing,” Prog. Quantum Electron. 19, 161–237 (1995).
    [CrossRef]
  10. A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
    [CrossRef] [PubMed]
  11. T. C. Weinacht, J. Ahn, and P. H. Bucksbaum, “Controlling the shape of a quantum wave-function,” Nature 397, 233–235 (1999).
    [CrossRef]
  12. A. M. Weiner, S. Oudin, D. D. Leaird, and D. H. Reitze, “Shaping of femtosecond pulses using phase-only filters designed by simulated annealing,” J. Opt. Soc. Am. A 10, 1112–1120 (1993).
    [CrossRef]
  13. Y. Lai and S.-S. Yu, “General quantum theory of nonlinear optical-pulse propagation,” Phys. Rev. A 51, 817–829 (1995).
    [CrossRef] [PubMed]
  14. M. J. Werner, “Raman-induced photon correlations in optical fiber solitons,” Phys. Rev. A 60, R781–R784 (1999).
    [CrossRef]
  15. S. Schmitt, J. Ficker, M. Wolff, F. König, A. Sizmann, and G. Leuchs, “Photon-number squeezed solitons from an asymmetric fiber-optic Sagnac interferometer,” Phys. Rev. Lett. 81, 2446–2449 (1998).
    [CrossRef]

1999 (4)

N. Nishizawa, T. Horio, M. Mori, K. Yamane, and T. Goto, “Effect of group-velocity dispersion on photon-number squeezing of optical pulses using optical fibers and spectral filter,” Jpn. J. Appl. Phys. 38, 1961–1965 (1999).
[CrossRef]

T. C. Weinacht, J. Ahn, and P. H. Bucksbaum, “Controlling the shape of a quantum wave-function,” Nature 397, 233–235 (1999).
[CrossRef]

M. J. Werner, “Raman-induced photon correlations in optical fiber solitons,” Phys. Rev. A 60, R781–R784 (1999).
[CrossRef]

D. Levandovsky, M. Vasilyev, and P. Kumar, “Perturbation theory of quantum solitons: continuum evolution and optimum squeezing by spectral filtering,” Opt. Lett. 24, 43–45 (1999).
[CrossRef]

1998 (4)

S. Spälter, M. Burk, U. Strössner, A. Sizmann, and G. Leuchs, “Propagation of quantum properties of sub-picosecond solitons in a fiber,” Opt. Express 2, 77–83 (1998), http://www.opticsexpress.org .
[CrossRef]

S. Schmitt, J. Ficker, M. Wolff, F. König, A. Sizmann, and G. Leuchs, “Photon-number squeezed solitons from an asymmetric fiber-optic Sagnac interferometer,” Phys. Rev. Lett. 81, 2446–2449 (1998).
[CrossRef]

S. Spälter, N. Korolkova, F. König, A. Sizmann, and G. Leuchs, “Observation of multimode quantum correlations in fiber optical solitons,” Phys. Rev. Lett. 81, 786–789 (1998).
[CrossRef]

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

1997 (3)

S. Spälter, M. Burk, U. Strössner, M. Böhm, A. Sizmann, and G. Leuchs, “Photon number squeezing of spectrally filtered sub-picosecond optical solitons,” Europhys. Lett. 38, 335–340 (1997).
[CrossRef]

M. J. Werner and S. R. Friberg, “Phase transitions and internal noise structure of nonlinear Schrödinger equation solitons,” Phys. Rev. Lett. 79, 4143 (1997).
[CrossRef]

A. Mecozzi and P. Kumar, “Linearized quantum-fluctuation theory of spectrally filtered optical solitons,” Opt. Lett. 22, 1232–1234 (1997).
[CrossRef] [PubMed]

1996 (1)

S. R. Friberg, S. Machida, M. J. Werner, A. Levanon, and T. Mukai, “Observation of optical soliton photon-number squeezing,” Phys. Rev. Lett. 77, 3775–3778 (1996).
[CrossRef] [PubMed]

1995 (2)

Y. Lai and S.-S. Yu, “General quantum theory of nonlinear optical-pulse propagation,” Phys. Rev. A 51, 817–829 (1995).
[CrossRef] [PubMed]

A. M. Weiner, “Femtosecond optical pulse shaping and processing,” Prog. Quantum Electron. 19, 161–237 (1995).
[CrossRef]

1993 (1)

Ahn, J.

T. C. Weinacht, J. Ahn, and P. H. Bucksbaum, “Controlling the shape of a quantum wave-function,” Nature 397, 233–235 (1999).
[CrossRef]

Assion, A.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

Baumert, T.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

Bergt, M.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

Böhm, M.

S. Spälter, M. Burk, U. Strössner, M. Böhm, A. Sizmann, and G. Leuchs, “Photon number squeezing of spectrally filtered sub-picosecond optical solitons,” Europhys. Lett. 38, 335–340 (1997).
[CrossRef]

Brixner, T.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

Bucksbaum, P. H.

T. C. Weinacht, J. Ahn, and P. H. Bucksbaum, “Controlling the shape of a quantum wave-function,” Nature 397, 233–235 (1999).
[CrossRef]

Burk, M.

S. Spälter, M. Burk, U. Strössner, A. Sizmann, and G. Leuchs, “Propagation of quantum properties of sub-picosecond solitons in a fiber,” Opt. Express 2, 77–83 (1998), http://www.opticsexpress.org .
[CrossRef]

S. Spälter, M. Burk, U. Strössner, M. Böhm, A. Sizmann, and G. Leuchs, “Photon number squeezing of spectrally filtered sub-picosecond optical solitons,” Europhys. Lett. 38, 335–340 (1997).
[CrossRef]

Ficker, J.

S. Schmitt, J. Ficker, M. Wolff, F. König, A. Sizmann, and G. Leuchs, “Photon-number squeezed solitons from an asymmetric fiber-optic Sagnac interferometer,” Phys. Rev. Lett. 81, 2446–2449 (1998).
[CrossRef]

Friberg, S. R.

M. J. Werner and S. R. Friberg, “Phase transitions and internal noise structure of nonlinear Schrödinger equation solitons,” Phys. Rev. Lett. 79, 4143 (1997).
[CrossRef]

S. R. Friberg, S. Machida, M. J. Werner, A. Levanon, and T. Mukai, “Observation of optical soliton photon-number squeezing,” Phys. Rev. Lett. 77, 3775–3778 (1996).
[CrossRef] [PubMed]

Gerber, G.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

Goto, T.

N. Nishizawa, T. Horio, M. Mori, K. Yamane, and T. Goto, “Effect of group-velocity dispersion on photon-number squeezing of optical pulses using optical fibers and spectral filter,” Jpn. J. Appl. Phys. 38, 1961–1965 (1999).
[CrossRef]

Horio, T.

N. Nishizawa, T. Horio, M. Mori, K. Yamane, and T. Goto, “Effect of group-velocity dispersion on photon-number squeezing of optical pulses using optical fibers and spectral filter,” Jpn. J. Appl. Phys. 38, 1961–1965 (1999).
[CrossRef]

Kiefer, B.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

König, F.

S. Spälter, N. Korolkova, F. König, A. Sizmann, and G. Leuchs, “Observation of multimode quantum correlations in fiber optical solitons,” Phys. Rev. Lett. 81, 786–789 (1998).
[CrossRef]

S. Schmitt, J. Ficker, M. Wolff, F. König, A. Sizmann, and G. Leuchs, “Photon-number squeezed solitons from an asymmetric fiber-optic Sagnac interferometer,” Phys. Rev. Lett. 81, 2446–2449 (1998).
[CrossRef]

Korolkova, N.

S. Spälter, N. Korolkova, F. König, A. Sizmann, and G. Leuchs, “Observation of multimode quantum correlations in fiber optical solitons,” Phys. Rev. Lett. 81, 786–789 (1998).
[CrossRef]

Kumar, P.

Lai, Y.

Y. Lai and S.-S. Yu, “General quantum theory of nonlinear optical-pulse propagation,” Phys. Rev. A 51, 817–829 (1995).
[CrossRef] [PubMed]

Leaird, D. D.

Leuchs, G.

S. Spälter, M. Burk, U. Strössner, A. Sizmann, and G. Leuchs, “Propagation of quantum properties of sub-picosecond solitons in a fiber,” Opt. Express 2, 77–83 (1998), http://www.opticsexpress.org .
[CrossRef]

S. Spälter, N. Korolkova, F. König, A. Sizmann, and G. Leuchs, “Observation of multimode quantum correlations in fiber optical solitons,” Phys. Rev. Lett. 81, 786–789 (1998).
[CrossRef]

S. Schmitt, J. Ficker, M. Wolff, F. König, A. Sizmann, and G. Leuchs, “Photon-number squeezed solitons from an asymmetric fiber-optic Sagnac interferometer,” Phys. Rev. Lett. 81, 2446–2449 (1998).
[CrossRef]

S. Spälter, M. Burk, U. Strössner, M. Böhm, A. Sizmann, and G. Leuchs, “Photon number squeezing of spectrally filtered sub-picosecond optical solitons,” Europhys. Lett. 38, 335–340 (1997).
[CrossRef]

Levandovsky, D.

Levanon, A.

S. R. Friberg, S. Machida, M. J. Werner, A. Levanon, and T. Mukai, “Observation of optical soliton photon-number squeezing,” Phys. Rev. Lett. 77, 3775–3778 (1996).
[CrossRef] [PubMed]

Machida, S.

S. R. Friberg, S. Machida, M. J. Werner, A. Levanon, and T. Mukai, “Observation of optical soliton photon-number squeezing,” Phys. Rev. Lett. 77, 3775–3778 (1996).
[CrossRef] [PubMed]

Mecozzi, A.

Mori, M.

N. Nishizawa, T. Horio, M. Mori, K. Yamane, and T. Goto, “Effect of group-velocity dispersion on photon-number squeezing of optical pulses using optical fibers and spectral filter,” Jpn. J. Appl. Phys. 38, 1961–1965 (1999).
[CrossRef]

Mukai, T.

S. R. Friberg, S. Machida, M. J. Werner, A. Levanon, and T. Mukai, “Observation of optical soliton photon-number squeezing,” Phys. Rev. Lett. 77, 3775–3778 (1996).
[CrossRef] [PubMed]

Nishizawa, N.

N. Nishizawa, T. Horio, M. Mori, K. Yamane, and T. Goto, “Effect of group-velocity dispersion on photon-number squeezing of optical pulses using optical fibers and spectral filter,” Jpn. J. Appl. Phys. 38, 1961–1965 (1999).
[CrossRef]

Oudin, S.

Reitze, D. H.

Schmitt, S.

S. Schmitt, J. Ficker, M. Wolff, F. König, A. Sizmann, and G. Leuchs, “Photon-number squeezed solitons from an asymmetric fiber-optic Sagnac interferometer,” Phys. Rev. Lett. 81, 2446–2449 (1998).
[CrossRef]

Seyfried, V.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

Sizmann, A.

S. Spälter, N. Korolkova, F. König, A. Sizmann, and G. Leuchs, “Observation of multimode quantum correlations in fiber optical solitons,” Phys. Rev. Lett. 81, 786–789 (1998).
[CrossRef]

S. Spälter, M. Burk, U. Strössner, A. Sizmann, and G. Leuchs, “Propagation of quantum properties of sub-picosecond solitons in a fiber,” Opt. Express 2, 77–83 (1998), http://www.opticsexpress.org .
[CrossRef]

S. Schmitt, J. Ficker, M. Wolff, F. König, A. Sizmann, and G. Leuchs, “Photon-number squeezed solitons from an asymmetric fiber-optic Sagnac interferometer,” Phys. Rev. Lett. 81, 2446–2449 (1998).
[CrossRef]

S. Spälter, M. Burk, U. Strössner, M. Böhm, A. Sizmann, and G. Leuchs, “Photon number squeezing of spectrally filtered sub-picosecond optical solitons,” Europhys. Lett. 38, 335–340 (1997).
[CrossRef]

Spälter, S.

S. Spälter, M. Burk, U. Strössner, A. Sizmann, and G. Leuchs, “Propagation of quantum properties of sub-picosecond solitons in a fiber,” Opt. Express 2, 77–83 (1998), http://www.opticsexpress.org .
[CrossRef]

S. Spälter, N. Korolkova, F. König, A. Sizmann, and G. Leuchs, “Observation of multimode quantum correlations in fiber optical solitons,” Phys. Rev. Lett. 81, 786–789 (1998).
[CrossRef]

S. Spälter, M. Burk, U. Strössner, M. Böhm, A. Sizmann, and G. Leuchs, “Photon number squeezing of spectrally filtered sub-picosecond optical solitons,” Europhys. Lett. 38, 335–340 (1997).
[CrossRef]

Strehle, M.

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

Strössner, U.

S. Spälter, M. Burk, U. Strössner, A. Sizmann, and G. Leuchs, “Propagation of quantum properties of sub-picosecond solitons in a fiber,” Opt. Express 2, 77–83 (1998), http://www.opticsexpress.org .
[CrossRef]

S. Spälter, M. Burk, U. Strössner, M. Böhm, A. Sizmann, and G. Leuchs, “Photon number squeezing of spectrally filtered sub-picosecond optical solitons,” Europhys. Lett. 38, 335–340 (1997).
[CrossRef]

Vasilyev, M.

Weinacht, T. C.

T. C. Weinacht, J. Ahn, and P. H. Bucksbaum, “Controlling the shape of a quantum wave-function,” Nature 397, 233–235 (1999).
[CrossRef]

Weiner, A. M.

Werner, M. J.

M. J. Werner, “Raman-induced photon correlations in optical fiber solitons,” Phys. Rev. A 60, R781–R784 (1999).
[CrossRef]

M. J. Werner and S. R. Friberg, “Phase transitions and internal noise structure of nonlinear Schrödinger equation solitons,” Phys. Rev. Lett. 79, 4143 (1997).
[CrossRef]

S. R. Friberg, S. Machida, M. J. Werner, A. Levanon, and T. Mukai, “Observation of optical soliton photon-number squeezing,” Phys. Rev. Lett. 77, 3775–3778 (1996).
[CrossRef] [PubMed]

Wolff, M.

S. Schmitt, J. Ficker, M. Wolff, F. König, A. Sizmann, and G. Leuchs, “Photon-number squeezed solitons from an asymmetric fiber-optic Sagnac interferometer,” Phys. Rev. Lett. 81, 2446–2449 (1998).
[CrossRef]

Yamane, K.

N. Nishizawa, T. Horio, M. Mori, K. Yamane, and T. Goto, “Effect of group-velocity dispersion on photon-number squeezing of optical pulses using optical fibers and spectral filter,” Jpn. J. Appl. Phys. 38, 1961–1965 (1999).
[CrossRef]

Yu, S.-S.

Y. Lai and S.-S. Yu, “General quantum theory of nonlinear optical-pulse propagation,” Phys. Rev. A 51, 817–829 (1995).
[CrossRef] [PubMed]

Europhys. Lett. (1)

S. Spälter, M. Burk, U. Strössner, M. Böhm, A. Sizmann, and G. Leuchs, “Photon number squeezing of spectrally filtered sub-picosecond optical solitons,” Europhys. Lett. 38, 335–340 (1997).
[CrossRef]

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

Jpn. J. Appl. Phys. (1)

N. Nishizawa, T. Horio, M. Mori, K. Yamane, and T. Goto, “Effect of group-velocity dispersion on photon-number squeezing of optical pulses using optical fibers and spectral filter,” Jpn. J. Appl. Phys. 38, 1961–1965 (1999).
[CrossRef]

Nature (1)

T. C. Weinacht, J. Ahn, and P. H. Bucksbaum, “Controlling the shape of a quantum wave-function,” Nature 397, 233–235 (1999).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. A (2)

Y. Lai and S.-S. Yu, “General quantum theory of nonlinear optical-pulse propagation,” Phys. Rev. A 51, 817–829 (1995).
[CrossRef] [PubMed]

M. J. Werner, “Raman-induced photon correlations in optical fiber solitons,” Phys. Rev. A 60, R781–R784 (1999).
[CrossRef]

Phys. Rev. Lett. (4)

S. Schmitt, J. Ficker, M. Wolff, F. König, A. Sizmann, and G. Leuchs, “Photon-number squeezed solitons from an asymmetric fiber-optic Sagnac interferometer,” Phys. Rev. Lett. 81, 2446–2449 (1998).
[CrossRef]

S. Spälter, N. Korolkova, F. König, A. Sizmann, and G. Leuchs, “Observation of multimode quantum correlations in fiber optical solitons,” Phys. Rev. Lett. 81, 786–789 (1998).
[CrossRef]

M. J. Werner and S. R. Friberg, “Phase transitions and internal noise structure of nonlinear Schrödinger equation solitons,” Phys. Rev. Lett. 79, 4143 (1997).
[CrossRef]

S. R. Friberg, S. Machida, M. J. Werner, A. Levanon, and T. Mukai, “Observation of optical soliton photon-number squeezing,” Phys. Rev. Lett. 77, 3775–3778 (1996).
[CrossRef] [PubMed]

Prog. Quantum Electron. (1)

A. M. Weiner, “Femtosecond optical pulse shaping and processing,” Prog. Quantum Electron. 19, 161–237 (1995).
[CrossRef]

Science (1)

A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, “Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses,” Science 282, 919–922 (1998).
[CrossRef] [PubMed]

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