Abstract

Pump–probe spectroscopy with copropagating pump and probe beams of an open two-level system where, as a result of inelastic collisions, the lower state of an optical transition relaxes faster to reservoir states than the upper state does, may yield an antihole in the probe spectral profile whose linewidth is subnatural and unaffected by Doppler broadening.

© 1989 Optical Society of America

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References

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  1. W. R. Bennett, Phys. Rev. 126, 580 (1962).
    [CrossRef]
  2. B. R. Mollow, Phys. Rev. A 5, 2217 (1972).
    [CrossRef]
  3. F. Y. Wu, S. Ezekiel, M. Ducloy, B. R. Mollow, Phys. Rev. Lett. 38, 1077 (1977).
    [CrossRef]
  4. R. W. Boyd, M. G. Raymer, P. Narum, D. J. Harter, Phys. Rev. A 24, 411 (1981).
    [CrossRef]
  5. H. Friedmann, A. D. Wilson-Gordon, Phys. Rev. A 36, 1333 (1987).
    [CrossRef] [PubMed]
  6. G. Khitrova, P. R. Berman, M. Sargent, J. Opt. Soc. Am. B 5, 160 (1988).
    [CrossRef]
  7. R. W. Boyd, M. Sargent, J. Opt. Soc. Am. B 5, 99 (1988).
    [CrossRef]
  8. R. W. Boyd, S. Mukamel, Phys. Rev. A 29, 1073 (1984).
    [CrossRef]
  9. M. S. Malcuit, R. W. Boyd, L. W. Hillman, J. Krasinski, C. R. Stroud, J. Opt. Soc. Am. B 1, 73 (1984).
    [CrossRef]
  10. H. Friedmann, A. D. Wilson-Gordon, in Methods of Laser Spectroscopy, Y. Prior, A. Ben-Reuven, M. Rosenbluh, eds. (Plenum, New York, 1986), p. 307.
    [CrossRef]
  11. M. Ducloy, D. Bloch, J. Phys. (Paris) 42, 711 (1981).
    [CrossRef]
  12. A. D. Wilson-Gordon, H. Friedmann, Opt. Lett. 8, 617 (1983).
    [CrossRef] [PubMed]
  13. R. G. Steel, J. T. Remillard, Phys. Rev. A 36, 4330 (1987).
    [CrossRef] [PubMed]
  14. M. Gorlicki, P. R. Berman, G. Khitrova, Phys. Rev. A 37, 4340 (1988).
    [CrossRef] [PubMed]
  15. L. J. Rothberg, N. Bloembergen, Phys. Rev. A 30, 2327 (1984).
    [CrossRef]
  16. P. R. Berman, D. G. Steel, G. Khitrova, J. Liu, Phys. Rev. A 38, 252 (1988); J. Liu, D. G. Steel, Phys. Rev. A 38, 4639 (1988).
    [CrossRef] [PubMed]

1988 (4)

G. Khitrova, P. R. Berman, M. Sargent, J. Opt. Soc. Am. B 5, 160 (1988).
[CrossRef]

R. W. Boyd, M. Sargent, J. Opt. Soc. Am. B 5, 99 (1988).
[CrossRef]

M. Gorlicki, P. R. Berman, G. Khitrova, Phys. Rev. A 37, 4340 (1988).
[CrossRef] [PubMed]

P. R. Berman, D. G. Steel, G. Khitrova, J. Liu, Phys. Rev. A 38, 252 (1988); J. Liu, D. G. Steel, Phys. Rev. A 38, 4639 (1988).
[CrossRef] [PubMed]

1987 (2)

R. G. Steel, J. T. Remillard, Phys. Rev. A 36, 4330 (1987).
[CrossRef] [PubMed]

H. Friedmann, A. D. Wilson-Gordon, Phys. Rev. A 36, 1333 (1987).
[CrossRef] [PubMed]

1984 (3)

L. J. Rothberg, N. Bloembergen, Phys. Rev. A 30, 2327 (1984).
[CrossRef]

R. W. Boyd, S. Mukamel, Phys. Rev. A 29, 1073 (1984).
[CrossRef]

M. S. Malcuit, R. W. Boyd, L. W. Hillman, J. Krasinski, C. R. Stroud, J. Opt. Soc. Am. B 1, 73 (1984).
[CrossRef]

1983 (1)

1981 (2)

M. Ducloy, D. Bloch, J. Phys. (Paris) 42, 711 (1981).
[CrossRef]

R. W. Boyd, M. G. Raymer, P. Narum, D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

1977 (1)

F. Y. Wu, S. Ezekiel, M. Ducloy, B. R. Mollow, Phys. Rev. Lett. 38, 1077 (1977).
[CrossRef]

1972 (1)

B. R. Mollow, Phys. Rev. A 5, 2217 (1972).
[CrossRef]

1962 (1)

W. R. Bennett, Phys. Rev. 126, 580 (1962).
[CrossRef]

Bennett, W. R.

W. R. Bennett, Phys. Rev. 126, 580 (1962).
[CrossRef]

Berman, P. R.

G. Khitrova, P. R. Berman, M. Sargent, J. Opt. Soc. Am. B 5, 160 (1988).
[CrossRef]

M. Gorlicki, P. R. Berman, G. Khitrova, Phys. Rev. A 37, 4340 (1988).
[CrossRef] [PubMed]

P. R. Berman, D. G. Steel, G. Khitrova, J. Liu, Phys. Rev. A 38, 252 (1988); J. Liu, D. G. Steel, Phys. Rev. A 38, 4639 (1988).
[CrossRef] [PubMed]

Bloch, D.

M. Ducloy, D. Bloch, J. Phys. (Paris) 42, 711 (1981).
[CrossRef]

Bloembergen, N.

L. J. Rothberg, N. Bloembergen, Phys. Rev. A 30, 2327 (1984).
[CrossRef]

Boyd, R. W.

R. W. Boyd, M. Sargent, J. Opt. Soc. Am. B 5, 99 (1988).
[CrossRef]

M. S. Malcuit, R. W. Boyd, L. W. Hillman, J. Krasinski, C. R. Stroud, J. Opt. Soc. Am. B 1, 73 (1984).
[CrossRef]

R. W. Boyd, S. Mukamel, Phys. Rev. A 29, 1073 (1984).
[CrossRef]

R. W. Boyd, M. G. Raymer, P. Narum, D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

Ducloy, M.

M. Ducloy, D. Bloch, J. Phys. (Paris) 42, 711 (1981).
[CrossRef]

F. Y. Wu, S. Ezekiel, M. Ducloy, B. R. Mollow, Phys. Rev. Lett. 38, 1077 (1977).
[CrossRef]

Ezekiel, S.

F. Y. Wu, S. Ezekiel, M. Ducloy, B. R. Mollow, Phys. Rev. Lett. 38, 1077 (1977).
[CrossRef]

Friedmann, H.

H. Friedmann, A. D. Wilson-Gordon, Phys. Rev. A 36, 1333 (1987).
[CrossRef] [PubMed]

A. D. Wilson-Gordon, H. Friedmann, Opt. Lett. 8, 617 (1983).
[CrossRef] [PubMed]

H. Friedmann, A. D. Wilson-Gordon, in Methods of Laser Spectroscopy, Y. Prior, A. Ben-Reuven, M. Rosenbluh, eds. (Plenum, New York, 1986), p. 307.
[CrossRef]

Gorlicki, M.

M. Gorlicki, P. R. Berman, G. Khitrova, Phys. Rev. A 37, 4340 (1988).
[CrossRef] [PubMed]

Harter, D. J.

R. W. Boyd, M. G. Raymer, P. Narum, D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

Hillman, L. W.

Khitrova, G.

G. Khitrova, P. R. Berman, M. Sargent, J. Opt. Soc. Am. B 5, 160 (1988).
[CrossRef]

P. R. Berman, D. G. Steel, G. Khitrova, J. Liu, Phys. Rev. A 38, 252 (1988); J. Liu, D. G. Steel, Phys. Rev. A 38, 4639 (1988).
[CrossRef] [PubMed]

M. Gorlicki, P. R. Berman, G. Khitrova, Phys. Rev. A 37, 4340 (1988).
[CrossRef] [PubMed]

Krasinski, J.

Liu, J.

P. R. Berman, D. G. Steel, G. Khitrova, J. Liu, Phys. Rev. A 38, 252 (1988); J. Liu, D. G. Steel, Phys. Rev. A 38, 4639 (1988).
[CrossRef] [PubMed]

Malcuit, M. S.

Mollow, B. R.

F. Y. Wu, S. Ezekiel, M. Ducloy, B. R. Mollow, Phys. Rev. Lett. 38, 1077 (1977).
[CrossRef]

B. R. Mollow, Phys. Rev. A 5, 2217 (1972).
[CrossRef]

Mukamel, S.

R. W. Boyd, S. Mukamel, Phys. Rev. A 29, 1073 (1984).
[CrossRef]

Narum, P.

R. W. Boyd, M. G. Raymer, P. Narum, D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

Raymer, M. G.

R. W. Boyd, M. G. Raymer, P. Narum, D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

Remillard, J. T.

R. G. Steel, J. T. Remillard, Phys. Rev. A 36, 4330 (1987).
[CrossRef] [PubMed]

Rothberg, L. J.

L. J. Rothberg, N. Bloembergen, Phys. Rev. A 30, 2327 (1984).
[CrossRef]

Sargent, M.

Steel, D. G.

P. R. Berman, D. G. Steel, G. Khitrova, J. Liu, Phys. Rev. A 38, 252 (1988); J. Liu, D. G. Steel, Phys. Rev. A 38, 4639 (1988).
[CrossRef] [PubMed]

Steel, R. G.

R. G. Steel, J. T. Remillard, Phys. Rev. A 36, 4330 (1987).
[CrossRef] [PubMed]

Stroud, C. R.

Wilson-Gordon, A. D.

H. Friedmann, A. D. Wilson-Gordon, Phys. Rev. A 36, 1333 (1987).
[CrossRef] [PubMed]

A. D. Wilson-Gordon, H. Friedmann, Opt. Lett. 8, 617 (1983).
[CrossRef] [PubMed]

H. Friedmann, A. D. Wilson-Gordon, in Methods of Laser Spectroscopy, Y. Prior, A. Ben-Reuven, M. Rosenbluh, eds. (Plenum, New York, 1986), p. 307.
[CrossRef]

Wu, F. Y.

F. Y. Wu, S. Ezekiel, M. Ducloy, B. R. Mollow, Phys. Rev. Lett. 38, 1077 (1977).
[CrossRef]

J. Opt. Soc. Am. B (3)

J. Phys. (Paris) (1)

M. Ducloy, D. Bloch, J. Phys. (Paris) 42, 711 (1981).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. (1)

W. R. Bennett, Phys. Rev. 126, 580 (1962).
[CrossRef]

Phys. Rev. A (8)

B. R. Mollow, Phys. Rev. A 5, 2217 (1972).
[CrossRef]

R. W. Boyd, M. G. Raymer, P. Narum, D. J. Harter, Phys. Rev. A 24, 411 (1981).
[CrossRef]

H. Friedmann, A. D. Wilson-Gordon, Phys. Rev. A 36, 1333 (1987).
[CrossRef] [PubMed]

R. W. Boyd, S. Mukamel, Phys. Rev. A 29, 1073 (1984).
[CrossRef]

R. G. Steel, J. T. Remillard, Phys. Rev. A 36, 4330 (1987).
[CrossRef] [PubMed]

M. Gorlicki, P. R. Berman, G. Khitrova, Phys. Rev. A 37, 4340 (1988).
[CrossRef] [PubMed]

L. J. Rothberg, N. Bloembergen, Phys. Rev. A 30, 2327 (1984).
[CrossRef]

P. R. Berman, D. G. Steel, G. Khitrova, J. Liu, Phys. Rev. A 38, 252 (1988); J. Liu, D. G. Steel, Phys. Rev. A 38, 4639 (1988).
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

F. Y. Wu, S. Ezekiel, M. Ducloy, B. R. Mollow, Phys. Rev. Lett. 38, 1077 (1977).
[CrossRef]

Other (1)

H. Friedmann, A. D. Wilson-Gordon, in Methods of Laser Spectroscopy, Y. Prior, A. Ben-Reuven, M. Rosenbluh, eds. (Plenum, New York, 1986), p. 307.
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Open two-level system interacting with two coherent fields. Both the upper and lower states may decay to the reservoir-state manifold R, with the lower-state decay being reversible.

Fig. 2
Fig. 2

Probe absorption spectrum of an open two-level system with Δ1 = 0.5Γ in (a) the absence and (b) the presence of Doppler broadening for various values of (|V1|/Γ)2. The parameters used are γba = 1.98Γ, γbR = 0.005Γ, γa = 0.015Γ, and D = 4Γ.

Fig. 3
Fig. 3

Probe absorption spectrum of an open two-level system with Δ1 = 0 in (a) the absence and (b) the presence of Doppler broadening for various values of (|V1|/Γ)2. The parameters are the same as in Fig. 2.

Equations (10)

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

γ a > γ b R = γ b - γ b a ,
γ a γ b - γ b a
γ a < γ b - γ b a .
ρ b a ( ω 2 ) δ ρ b a ( Δ 1 , δ ) = V 2 - Δ 1 + δ + i Γ ( ρ b b - ρ a a ) dc - V 1 V 1 * δ + Δ 1 + i Γ δ - Δ 1 + i Γ ρ a b ( ω 2 - 2 ω 1 ) ,
ρ a b ( ω 2 - 2 ω 1 ) = - V 1 * 2 V 2 ( δ + 2 i Γ ) × ( ρ b b - ρ a a ) dc / D ( ω 2 ) ( Δ 1 + i Γ ) ,
D ( ω 2 ) = - 2 V 1 2 ( δ + i Γ ) + ( δ - Δ 1 + i Γ ) ( δ + Δ 1 + i Γ ) ( δ + i γ a ) ( δ + i γ b ) 2 δ + i ( γ a + γ b - γ b a ) .
ρ a b ( ω 2 - 2 ω 1 ) = 2 V 1 * 2 V 2 ( ρ b b - ρ a a ) eq ( Δ 1 + i Γ ) ( Δ 1 - δ - i Γ ) ( Δ 1 + δ + i Γ ) × ( 1 + A δ + i γ a + B δ + i γ b ) ,
A = ( i / 2 ) ( 2 Γ - γ a ) ( γ b - γ b a - γ a ) / ( γ b - γ a ) ,
B = ( i / 2 ) ( 2 Γ - γ b ) ( γ b + γ b a - γ a ) / ( γ b - γ a ) ,
ρ D ( ω 2 ) ρ D ( Δ 1 , δ ) = ( 1 / π D 2 ) 1 / 2 - ρ ( Δ 1 , δ ) exp [ - ( Δ 1 - Δ 1 ) 2 / D 2 ] d Δ 1 ,

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