Abstract

Repeated quantum measurements on the intracavity field of a lossless micromaser are discussed. The effect of the associated quantum state reductions is to generate photon statistics bearing little relation to the original ones or to those obtained if no measurement is performed.

© 1987 Optical Society of America

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References

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  1. See, e.g., G. Gabrielse, H. Demhelt, Phys. Rev. Lett. 55, 67 (1985).
    [CrossRef] [PubMed]
  2. W. Neuhauser, M. Hoenstatt, P. E. Toschek, H. Demhelt, Phys. Rev. A 22, 1137 (1980);D. J. Wineland, W. M. Itano, Phys. Lett. 82A, 75 (1981).
    [CrossRef]
  3. See, e.g., P. Goy, J. D. Raimond, M. Gross, S. Haroche, Phys. Rev. Lett. 50, 1903 (1983);G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
    [CrossRef] [PubMed]
  4. H. Demhelt, Bull. Am. Phys. Soc. 20, 60 (1975);R. J. Cook, H. J. Kimble, Phys. Rev. Lett. 54, 1023 (1985);W. Nagourey, J. Sandberg, H. Demhelt, Phys. Rev. Lett. 56, 2727 (1986);Th. Sauter, W. Neuhauser, P. Blatt, P. E. Toschek, Phys. Rev. Lett. 57, 1696 (1986);J. C. Bergquist, R. G. Hulet, W. M. Itano, D. J. Wineland, Phys. Rev. Lett. 57, 1699 (1986).For the theory of quantum jumps, see, in particular, J. Javanainen, Phys. Rev. A 33, 2121 (1986);A. Schenzle, R. G. DeVoe, R. G. Brewer, Phys. Rev. A 33, 2127 (1986);C. Cohen-Tannoudji, J. Dalibard, Europhys. Lett. 1, 441 (1986).
    [CrossRef] [PubMed]
  5. See, however, the seminal comments by W. E. Lamb, in Chaotic Behavior in Quantum Systems, Theory and Applications, G. Casati, ed., Proceedings of a NATO Advanced Research Workshop in Como, Italy, in 1983 (Plenum, New York, 1985).
  6. D. Meschede, H. Walther, G. Müller, Phys. Rev. Lett. 54, 551 (1985).
    [CrossRef] [PubMed]
  7. P. Filipowicz, J. Javanainen, P. Meystre, Opt. Commun. 58, 327 (1986);P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
    [CrossRef] [PubMed]
  8. G. J. Milburn, “Kicked quantized cavity mode: an open-systems-theory approach,” Phys. Rev. A (to be published).
  9. A theory of the two-photon micromaser is given by M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1987).
    [CrossRef] [PubMed]
  10. F. Filipowicz, J. Javanainen, P. Meystre, J. Opt. Soc. Am. B 3, 906 (1986).
    [CrossRef]
  11. E. T. Jaynes, F. W. Cummings, Proc. IEEE 51, 89 (1963).
    [CrossRef]
  12. P. Meystre, E. M. Wright, in Proceedings of the ONR Workshop Fractals and Chaos, E. R. Pike, ed. (Hilger, Bristol, UK, 1987).

1987 (1)

A theory of the two-photon micromaser is given by M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1987).
[CrossRef] [PubMed]

1986 (2)

F. Filipowicz, J. Javanainen, P. Meystre, J. Opt. Soc. Am. B 3, 906 (1986).
[CrossRef]

P. Filipowicz, J. Javanainen, P. Meystre, Opt. Commun. 58, 327 (1986);P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
[CrossRef] [PubMed]

1985 (2)

D. Meschede, H. Walther, G. Müller, Phys. Rev. Lett. 54, 551 (1985).
[CrossRef] [PubMed]

See, e.g., G. Gabrielse, H. Demhelt, Phys. Rev. Lett. 55, 67 (1985).
[CrossRef] [PubMed]

1983 (1)

See, e.g., P. Goy, J. D. Raimond, M. Gross, S. Haroche, Phys. Rev. Lett. 50, 1903 (1983);G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

1980 (1)

W. Neuhauser, M. Hoenstatt, P. E. Toschek, H. Demhelt, Phys. Rev. A 22, 1137 (1980);D. J. Wineland, W. M. Itano, Phys. Lett. 82A, 75 (1981).
[CrossRef]

1975 (1)

H. Demhelt, Bull. Am. Phys. Soc. 20, 60 (1975);R. J. Cook, H. J. Kimble, Phys. Rev. Lett. 54, 1023 (1985);W. Nagourey, J. Sandberg, H. Demhelt, Phys. Rev. Lett. 56, 2727 (1986);Th. Sauter, W. Neuhauser, P. Blatt, P. E. Toschek, Phys. Rev. Lett. 57, 1696 (1986);J. C. Bergquist, R. G. Hulet, W. M. Itano, D. J. Wineland, Phys. Rev. Lett. 57, 1699 (1986).For the theory of quantum jumps, see, in particular, J. Javanainen, Phys. Rev. A 33, 2121 (1986);A. Schenzle, R. G. DeVoe, R. G. Brewer, Phys. Rev. A 33, 2127 (1986);C. Cohen-Tannoudji, J. Dalibard, Europhys. Lett. 1, 441 (1986).
[CrossRef] [PubMed]

1963 (1)

E. T. Jaynes, F. W. Cummings, Proc. IEEE 51, 89 (1963).
[CrossRef]

Brune, M.

A theory of the two-photon micromaser is given by M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1987).
[CrossRef] [PubMed]

Cummings, F. W.

E. T. Jaynes, F. W. Cummings, Proc. IEEE 51, 89 (1963).
[CrossRef]

Demhelt, H.

See, e.g., G. Gabrielse, H. Demhelt, Phys. Rev. Lett. 55, 67 (1985).
[CrossRef] [PubMed]

W. Neuhauser, M. Hoenstatt, P. E. Toschek, H. Demhelt, Phys. Rev. A 22, 1137 (1980);D. J. Wineland, W. M. Itano, Phys. Lett. 82A, 75 (1981).
[CrossRef]

H. Demhelt, Bull. Am. Phys. Soc. 20, 60 (1975);R. J. Cook, H. J. Kimble, Phys. Rev. Lett. 54, 1023 (1985);W. Nagourey, J. Sandberg, H. Demhelt, Phys. Rev. Lett. 56, 2727 (1986);Th. Sauter, W. Neuhauser, P. Blatt, P. E. Toschek, Phys. Rev. Lett. 57, 1696 (1986);J. C. Bergquist, R. G. Hulet, W. M. Itano, D. J. Wineland, Phys. Rev. Lett. 57, 1699 (1986).For the theory of quantum jumps, see, in particular, J. Javanainen, Phys. Rev. A 33, 2121 (1986);A. Schenzle, R. G. DeVoe, R. G. Brewer, Phys. Rev. A 33, 2127 (1986);C. Cohen-Tannoudji, J. Dalibard, Europhys. Lett. 1, 441 (1986).
[CrossRef] [PubMed]

Filipowicz, F.

Filipowicz, P.

P. Filipowicz, J. Javanainen, P. Meystre, Opt. Commun. 58, 327 (1986);P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
[CrossRef] [PubMed]

Gabrielse, G.

See, e.g., G. Gabrielse, H. Demhelt, Phys. Rev. Lett. 55, 67 (1985).
[CrossRef] [PubMed]

Goy, P.

See, e.g., P. Goy, J. D. Raimond, M. Gross, S. Haroche, Phys. Rev. Lett. 50, 1903 (1983);G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

Gross, M.

See, e.g., P. Goy, J. D. Raimond, M. Gross, S. Haroche, Phys. Rev. Lett. 50, 1903 (1983);G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

Haroche, S.

A theory of the two-photon micromaser is given by M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1987).
[CrossRef] [PubMed]

See, e.g., P. Goy, J. D. Raimond, M. Gross, S. Haroche, Phys. Rev. Lett. 50, 1903 (1983);G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

Hoenstatt, M.

W. Neuhauser, M. Hoenstatt, P. E. Toschek, H. Demhelt, Phys. Rev. A 22, 1137 (1980);D. J. Wineland, W. M. Itano, Phys. Lett. 82A, 75 (1981).
[CrossRef]

Javanainen, J.

P. Filipowicz, J. Javanainen, P. Meystre, Opt. Commun. 58, 327 (1986);P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
[CrossRef] [PubMed]

F. Filipowicz, J. Javanainen, P. Meystre, J. Opt. Soc. Am. B 3, 906 (1986).
[CrossRef]

Jaynes, E. T.

E. T. Jaynes, F. W. Cummings, Proc. IEEE 51, 89 (1963).
[CrossRef]

Lamb, W. E.

See, however, the seminal comments by W. E. Lamb, in Chaotic Behavior in Quantum Systems, Theory and Applications, G. Casati, ed., Proceedings of a NATO Advanced Research Workshop in Como, Italy, in 1983 (Plenum, New York, 1985).

Meschede, D.

D. Meschede, H. Walther, G. Müller, Phys. Rev. Lett. 54, 551 (1985).
[CrossRef] [PubMed]

Meystre, P.

P. Filipowicz, J. Javanainen, P. Meystre, Opt. Commun. 58, 327 (1986);P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
[CrossRef] [PubMed]

F. Filipowicz, J. Javanainen, P. Meystre, J. Opt. Soc. Am. B 3, 906 (1986).
[CrossRef]

P. Meystre, E. M. Wright, in Proceedings of the ONR Workshop Fractals and Chaos, E. R. Pike, ed. (Hilger, Bristol, UK, 1987).

Milburn, G. J.

G. J. Milburn, “Kicked quantized cavity mode: an open-systems-theory approach,” Phys. Rev. A (to be published).

Müller, G.

D. Meschede, H. Walther, G. Müller, Phys. Rev. Lett. 54, 551 (1985).
[CrossRef] [PubMed]

Neuhauser, W.

W. Neuhauser, M. Hoenstatt, P. E. Toschek, H. Demhelt, Phys. Rev. A 22, 1137 (1980);D. J. Wineland, W. M. Itano, Phys. Lett. 82A, 75 (1981).
[CrossRef]

Raimond, J. D.

See, e.g., P. Goy, J. D. Raimond, M. Gross, S. Haroche, Phys. Rev. Lett. 50, 1903 (1983);G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

Raimond, J. M.

A theory of the two-photon micromaser is given by M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1987).
[CrossRef] [PubMed]

Toschek, P. E.

W. Neuhauser, M. Hoenstatt, P. E. Toschek, H. Demhelt, Phys. Rev. A 22, 1137 (1980);D. J. Wineland, W. M. Itano, Phys. Lett. 82A, 75 (1981).
[CrossRef]

Walther, H.

D. Meschede, H. Walther, G. Müller, Phys. Rev. Lett. 54, 551 (1985).
[CrossRef] [PubMed]

Wright, E. M.

P. Meystre, E. M. Wright, in Proceedings of the ONR Workshop Fractals and Chaos, E. R. Pike, ed. (Hilger, Bristol, UK, 1987).

Bull. Am. Phys. Soc. (1)

H. Demhelt, Bull. Am. Phys. Soc. 20, 60 (1975);R. J. Cook, H. J. Kimble, Phys. Rev. Lett. 54, 1023 (1985);W. Nagourey, J. Sandberg, H. Demhelt, Phys. Rev. Lett. 56, 2727 (1986);Th. Sauter, W. Neuhauser, P. Blatt, P. E. Toschek, Phys. Rev. Lett. 57, 1696 (1986);J. C. Bergquist, R. G. Hulet, W. M. Itano, D. J. Wineland, Phys. Rev. Lett. 57, 1699 (1986).For the theory of quantum jumps, see, in particular, J. Javanainen, Phys. Rev. A 33, 2121 (1986);A. Schenzle, R. G. DeVoe, R. G. Brewer, Phys. Rev. A 33, 2127 (1986);C. Cohen-Tannoudji, J. Dalibard, Europhys. Lett. 1, 441 (1986).
[CrossRef] [PubMed]

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

Opt. Commun. (1)

P. Filipowicz, J. Javanainen, P. Meystre, Opt. Commun. 58, 327 (1986);P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
[CrossRef] [PubMed]

Phys. Rev. A (2)

W. Neuhauser, M. Hoenstatt, P. E. Toschek, H. Demhelt, Phys. Rev. A 22, 1137 (1980);D. J. Wineland, W. M. Itano, Phys. Lett. 82A, 75 (1981).
[CrossRef]

A theory of the two-photon micromaser is given by M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1987).
[CrossRef] [PubMed]

Phys. Rev. Lett. (3)

See, e.g., P. Goy, J. D. Raimond, M. Gross, S. Haroche, Phys. Rev. Lett. 50, 1903 (1983);G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

See, e.g., G. Gabrielse, H. Demhelt, Phys. Rev. Lett. 55, 67 (1985).
[CrossRef] [PubMed]

D. Meschede, H. Walther, G. Müller, Phys. Rev. Lett. 54, 551 (1985).
[CrossRef] [PubMed]

Proc. IEEE (1)

E. T. Jaynes, F. W. Cummings, Proc. IEEE 51, 89 (1963).
[CrossRef]

Other (3)

P. Meystre, E. M. Wright, in Proceedings of the ONR Workshop Fractals and Chaos, E. R. Pike, ed. (Hilger, Bristol, UK, 1987).

G. J. Milburn, “Kicked quantized cavity mode: an open-systems-theory approach,” Phys. Rev. A (to be published).

See, however, the seminal comments by W. E. Lamb, in Chaotic Behavior in Quantum Systems, Theory and Applications, G. Casati, ed., Proceedings of a NATO Advanced Research Workshop in Como, Italy, in 1983 (Plenum, New York, 1985).

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Tables (1)

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Table 1 Extracts from the Records of Two Typical Numerical Experimentsa

Equations (8)

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H = ( ω 0 / 2 ) S 3 + ω a a + κ / 2 ( S + a + a S ) ,
ρ F ( t i + t int ) = T r A [ U ( t int ) ρ ( t i ) U ( t int ) ] ,
p n ( t i + t int ) = p n 1 ( t i ) sin 2 Ω n t int / 2 + p n ( t i ) cos 2 Ω n + 1 t int / 2 ,
ρ F ( t i + t int ) = Tr A [ | s s | U ( t int ) ρ ( t i ) U ( t int ) ] ,
p n a ( t i + t int ) = N a p n ( t i ) cos 2 Ω n + 1 t int / 2
p n b ( t i + t int ) = N b p n 1 ( t i ) sin 2 Ω n t int / 2 .
p a ( t i + t int ) = n = 0 p n ( t i ) cos 2 Ω n + 1 / 2 ,
n n p n ( t i ) N a n n p n ( t i ) cos 2 Ω n + 1 t int / 2 .

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