Abstract

Using analytic theory and numerical experiments, we show that a quantum nondemolition measurement of the photon number of optical solitons in a single-mode optical fiber can be made. We describe the soliton-collision interferometer with which we propose to make this measurement and discuss simulations of the performance of this interferometer.

© 1990 Optical Society of America

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  1. H. A. Haus, K. Watanabe, Y. Yamamoto, J. Opt. Soc. Am. B 6, 1138 (1989).
    [CrossRef]
  2. N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. Lett. 32, 2287 (1985).
  3. N. Imoto, S. Watkins, Y. Sasaki, Opt. Commun. 61, 159 (1987);G. J. Milburn, M. D. Levenson, R. M. Shelby, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, J. Opt. Soc. Am. B 4, 1476 (1987).
    [CrossRef]
  4. R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
    [CrossRef]
  5. Two colliding solitons are considered an N = 2 soliton in the Zakharov–Shabat inverse-scattering method. The usual hyperbolic-secant solitons are N = 1 solitons.
  6. M. J. LaGasse, D. Liu-Wong, J. G. Fujimoto, H. A. Haus, Opt. Lett. 14, 311 (1989).
    [CrossRef] [PubMed]
  7. S. R. Friberg, A. M. Weiner, Y. Silberberg, B. G. Sfez, P. W. Smith, Opt. Lett. 13, 904 (1988).
    [CrossRef] [PubMed]
  8. J. A. Fleck, J. R. Morris, E. S. Bliss, IEEE J. Quantum Electron. QE-14, 353 (1978);D. Yevick, B. Hermansson, Opt. Commun. 47, 101 (1983);W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
    [CrossRef]
  9. V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

1989 (2)

1988 (1)

1987 (1)

N. Imoto, S. Watkins, Y. Sasaki, Opt. Commun. 61, 159 (1987);G. J. Milburn, M. D. Levenson, R. M. Shelby, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, J. Opt. Soc. Am. B 4, 1476 (1987).
[CrossRef]

1985 (2)

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. Lett. 32, 2287 (1985).

1978 (1)

J. A. Fleck, J. R. Morris, E. S. Bliss, IEEE J. Quantum Electron. QE-14, 353 (1978);D. Yevick, B. Hermansson, Opt. Commun. 47, 101 (1983);W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

1972 (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Bayer, P. W.

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

Bliss, E. S.

J. A. Fleck, J. R. Morris, E. S. Bliss, IEEE J. Quantum Electron. QE-14, 353 (1978);D. Yevick, B. Hermansson, Opt. Commun. 47, 101 (1983);W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

Fleck, J. A.

J. A. Fleck, J. R. Morris, E. S. Bliss, IEEE J. Quantum Electron. QE-14, 353 (1978);D. Yevick, B. Hermansson, Opt. Commun. 47, 101 (1983);W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

Friberg, S. R.

Fujimoto, J. G.

Haus, H. A.

Imoto, N.

N. Imoto, S. Watkins, Y. Sasaki, Opt. Commun. 61, 159 (1987);G. J. Milburn, M. D. Levenson, R. M. Shelby, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, J. Opt. Soc. Am. B 4, 1476 (1987).
[CrossRef]

N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. Lett. 32, 2287 (1985).

LaGasse, M. J.

Levenson, M. D.

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

Liu-Wong, D.

Morris, J. R.

J. A. Fleck, J. R. Morris, E. S. Bliss, IEEE J. Quantum Electron. QE-14, 353 (1978);D. Yevick, B. Hermansson, Opt. Commun. 47, 101 (1983);W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

Sasaki, Y.

N. Imoto, S. Watkins, Y. Sasaki, Opt. Commun. 61, 159 (1987);G. J. Milburn, M. D. Levenson, R. M. Shelby, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, J. Opt. Soc. Am. B 4, 1476 (1987).
[CrossRef]

Sfez, B. G.

Shabat, A. B.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Shelby, R. M.

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

Silberberg, Y.

Smith, P. W.

Watanabe, K.

Watkins, S.

N. Imoto, S. Watkins, Y. Sasaki, Opt. Commun. 61, 159 (1987);G. J. Milburn, M. D. Levenson, R. M. Shelby, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, J. Opt. Soc. Am. B 4, 1476 (1987).
[CrossRef]

Weiner, A. M.

Yamamoto, Y.

H. A. Haus, K. Watanabe, Y. Yamamoto, J. Opt. Soc. Am. B 6, 1138 (1989).
[CrossRef]

N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. Lett. 32, 2287 (1985).

Zakharov, V. E.

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

IEEE J. Quantum Electron. (1)

J. A. Fleck, J. R. Morris, E. S. Bliss, IEEE J. Quantum Electron. QE-14, 353 (1978);D. Yevick, B. Hermansson, Opt. Commun. 47, 101 (1983);W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, R. N. Thurston, J. Opt. Soc. Am. B 6, 329 (1989).
[CrossRef]

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

Opt. Commun. (1)

N. Imoto, S. Watkins, Y. Sasaki, Opt. Commun. 61, 159 (1987);G. J. Milburn, M. D. Levenson, R. M. Shelby, S. H. Perlmutter, R. G. DeVoe, D. F. Walls, J. Opt. Soc. Am. B 4, 1476 (1987).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. B (1)

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

Phys. Rev. Lett. (1)

N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. Lett. 32, 2287 (1985).

Sov. Phys. JETP (1)

V. E. Zakharov, A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).

Other (1)

Two colliding solitons are considered an N = 2 soliton in the Zakharov–Shabat inverse-scattering method. The usual hyperbolic-secant solitons are N = 1 solitons.

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