Abstract

We show that at very low temperatures the steady-state photon statistics of the micromaser are strongly influenced by the existence of trapping states. The resulting resonances are a true quantum effect resulting from the granulated character of the electromagnetic field.

© 1988 Optical Society of America

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References

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  1. D. Meschede, H. Walther, G. Müller, Phys. Rev. Lett. 54, 551 (1985).
    [CrossRef] [PubMed]
  2. G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
    [CrossRef] [PubMed]
  3. F. Diedrich, J. Krause, G. Rempe, M. O. Scully, H. Walther, IEEE J. Quantum Electron. QE-24, 1314 (1988).
    [CrossRef]
  4. P. Filipowicz, J. Javanainen, P. Meystre, J. Opt. Soc. Am. B 3, 906 (1986).
    [CrossRef]
  5. P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
    [CrossRef] [PubMed]
  6. L. Lugiato, M. O. Scully, H. Walther, Phys. Rev. A 36, 740 (1987).
    [CrossRef] [PubMed]
  7. For a two-photon micromaser, see M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1985). Results similar to our predictions are expected in this system.
    [CrossRef]
  8. E. M. Wright, P. Meystre, “Collapse and revival in a micromaser,” submitted to Opt. Lett.
  9. J. H. Eberly, N. B. Narozhny, J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).
    [CrossRef]

1988 (1)

F. Diedrich, J. Krause, G. Rempe, M. O. Scully, H. Walther, IEEE J. Quantum Electron. QE-24, 1314 (1988).
[CrossRef]

1987 (2)

G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

L. Lugiato, M. O. Scully, H. Walther, Phys. Rev. A 36, 740 (1987).
[CrossRef] [PubMed]

1986 (2)

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

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]

For a two-photon micromaser, see M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1985). Results similar to our predictions are expected in this system.
[CrossRef]

1980 (1)

J. H. Eberly, N. B. Narozhny, J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).
[CrossRef]

Brune, M.

For a two-photon micromaser, see M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1985). Results similar to our predictions are expected in this system.
[CrossRef]

Diedrich, F.

F. Diedrich, J. Krause, G. Rempe, M. O. Scully, H. Walther, IEEE J. Quantum Electron. QE-24, 1314 (1988).
[CrossRef]

Eberly, J. H.

J. H. Eberly, N. B. Narozhny, J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).
[CrossRef]

Filipowicz, P.

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

P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
[CrossRef] [PubMed]

Haroche, S.

For a two-photon micromaser, see M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1985). Results similar to our predictions are expected in this system.
[CrossRef]

Javanainen, J.

P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
[CrossRef] [PubMed]

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

Klein, N.

G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

Krause, J.

F. Diedrich, J. Krause, G. Rempe, M. O. Scully, H. Walther, IEEE J. Quantum Electron. QE-24, 1314 (1988).
[CrossRef]

Lugiato, L.

L. Lugiato, M. O. Scully, H. Walther, Phys. Rev. A 36, 740 (1987).
[CrossRef] [PubMed]

Meschede, D.

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

Meystre, P.

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

P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
[CrossRef] [PubMed]

E. M. Wright, P. Meystre, “Collapse and revival in a micromaser,” submitted to Opt. Lett.

Müller, G.

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

Narozhny, N. B.

J. H. Eberly, N. B. Narozhny, J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).
[CrossRef]

Raimond, J. M.

For a two-photon micromaser, see M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1985). Results similar to our predictions are expected in this system.
[CrossRef]

Rempe, G.

F. Diedrich, J. Krause, G. Rempe, M. O. Scully, H. Walther, IEEE J. Quantum Electron. QE-24, 1314 (1988).
[CrossRef]

G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

Sanchez-Mondragon, J. J.

J. H. Eberly, N. B. Narozhny, J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).
[CrossRef]

Scully, M. O.

F. Diedrich, J. Krause, G. Rempe, M. O. Scully, H. Walther, IEEE J. Quantum Electron. QE-24, 1314 (1988).
[CrossRef]

L. Lugiato, M. O. Scully, H. Walther, Phys. Rev. A 36, 740 (1987).
[CrossRef] [PubMed]

Walther, H.

F. Diedrich, J. Krause, G. Rempe, M. O. Scully, H. Walther, IEEE J. Quantum Electron. QE-24, 1314 (1988).
[CrossRef]

G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

L. Lugiato, M. O. Scully, H. Walther, Phys. Rev. A 36, 740 (1987).
[CrossRef] [PubMed]

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

Wright, E. M.

E. M. Wright, P. Meystre, “Collapse and revival in a micromaser,” submitted to Opt. Lett.

IEEE J. Quantum Electron. (1)

F. Diedrich, J. Krause, G. Rempe, M. O. Scully, H. Walther, IEEE J. Quantum Electron. QE-24, 1314 (1988).
[CrossRef]

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

Phys. Rev. A (3)

P. Filipowicz, J. Javanainen, P. Meystre, Phys. Rev. A 34, 3077 (1986).
[CrossRef] [PubMed]

L. Lugiato, M. O. Scully, H. Walther, Phys. Rev. A 36, 740 (1987).
[CrossRef] [PubMed]

For a two-photon micromaser, see M. Brune, J. M. Raimond, S. Haroche, Phys. Rev. A 35, 154 (1985). Results similar to our predictions are expected in this system.
[CrossRef]

Phys. Rev. Lett. (3)

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

G. Rempe, H. Walther, N. Klein, Phys. Rev. Lett. 58, 353 (1987).
[CrossRef] [PubMed]

J. H. Eberly, N. B. Narozhny, J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).
[CrossRef]

Other (1)

E. M. Wright, P. Meystre, “Collapse and revival in a micromaser,” submitted to Opt. Lett.

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Figures (4)

Fig. 1
Fig. 1

Normalized mean photon number l = 〈n〉/Nex as a function of the pump parameter θ for (a) nb = 0.1 and (b) nb = 10−7.

Fig. 2
Fig. 2

Blown-up regions of Fig. 1(b) showing trapping resonances in l(θ).

Fig. 3
Fig. 3

Steady-state photon statistics pn for Nex = 50, θ = 10−7, and various values of the thermal photon number nb.

Fig. 4
Fig. 4

Normalized photon number l(θ) for Nex = 400.

Equations (6)

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

κ n q + 1 t int = 2 q π .
d p n d t = γ ( n b + 1 ) [ ( n + 1 ) p n + 1 - n p n ] + γ n b [ n p n - 1 - ( n + 1 ) p n ] .
d p n d t = γ [ ( n + 1 ) p n + 1 - n p n ] ,
p n = C ( n b 1 + n b ) n k = 1 n ( 1 + N ex k n b sin 2 κ k t int / 2 ) ,
p n = C k = 1 n N ex k sin 2 ( κ k t int / 2 ) .
N ex θ 2 = n q + 1 q 2 π 2 .

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