Abstract

We report the observation of narrow resonances in the optical region by using the method of separated oscillatory fields in an atomic beam. Because of optical pumping, two nearly degenerate optical fields create a time-dependent modulation of the ground-state population, which interferes with the optical fields in a second region, resulting in a fringe pattern. The width and shape of the observed fringes are the same as those observed with the usual Ramsey method, although no coherence between the two levels under investigation is needed.

© 1993 Optical Society of America

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References

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  1. N. F. Ramsey, Molecular Beams (Oxford U. Press, London, 1963), Chap. 5, p. 128.
  2. Y. B. Baklanov, V. P. Chebotayev, B. Y. Dubertsky, Appl. Phys. 11, 201 (1976).
    [CrossRef]
  3. J. C. Bergquist, S. A. Lee, J. L Hall, Phys. Rev. Lett. 38, 159 (1977).
    [CrossRef]
  4. M. M. Salour, C. Cohen-Tannoudji, Phys. Rev. Lett. 38, 757 (1977).
    [CrossRef]
  5. D. J. Heizen, J. J. Childs, J. E. Thomas, M. S. Feld, Phys. Rev. Lett. 58, 1320 (1987).
    [CrossRef]
  6. J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
    [CrossRef]

1987 (1)

D. J. Heizen, J. J. Childs, J. E. Thomas, M. S. Feld, Phys. Rev. Lett. 58, 1320 (1987).
[CrossRef]

1982 (1)

J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
[CrossRef]

1977 (2)

J. C. Bergquist, S. A. Lee, J. L Hall, Phys. Rev. Lett. 38, 159 (1977).
[CrossRef]

M. M. Salour, C. Cohen-Tannoudji, Phys. Rev. Lett. 38, 757 (1977).
[CrossRef]

1976 (1)

Y. B. Baklanov, V. P. Chebotayev, B. Y. Dubertsky, Appl. Phys. 11, 201 (1976).
[CrossRef]

Baklanov, Y. B.

Y. B. Baklanov, V. P. Chebotayev, B. Y. Dubertsky, Appl. Phys. 11, 201 (1976).
[CrossRef]

Bergquist, J. C.

J. C. Bergquist, S. A. Lee, J. L Hall, Phys. Rev. Lett. 38, 159 (1977).
[CrossRef]

Chebotayev, V. P.

Y. B. Baklanov, V. P. Chebotayev, B. Y. Dubertsky, Appl. Phys. 11, 201 (1976).
[CrossRef]

Childs, J. J.

D. J. Heizen, J. J. Childs, J. E. Thomas, M. S. Feld, Phys. Rev. Lett. 58, 1320 (1987).
[CrossRef]

Cohen-Tannoudji, C.

M. M. Salour, C. Cohen-Tannoudji, Phys. Rev. Lett. 38, 757 (1977).
[CrossRef]

Dubertsky, B. Y.

Y. B. Baklanov, V. P. Chebotayev, B. Y. Dubertsky, Appl. Phys. 11, 201 (1976).
[CrossRef]

Ezekiel, S.

J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
[CrossRef]

Feld, M. S.

D. J. Heizen, J. J. Childs, J. E. Thomas, M. S. Feld, Phys. Rev. Lett. 58, 1320 (1987).
[CrossRef]

Hall, J. L

J. C. Bergquist, S. A. Lee, J. L Hall, Phys. Rev. Lett. 38, 159 (1977).
[CrossRef]

Heizen, D. J.

D. J. Heizen, J. J. Childs, J. E. Thomas, M. S. Feld, Phys. Rev. Lett. 58, 1320 (1987).
[CrossRef]

Hemmer, P. R.

J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
[CrossRef]

Lee, S. A.

J. C. Bergquist, S. A. Lee, J. L Hall, Phys. Rev. Lett. 38, 159 (1977).
[CrossRef]

Leiby, C. C.

J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
[CrossRef]

Picard, R. H.

J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
[CrossRef]

Ramsey, N. F.

N. F. Ramsey, Molecular Beams (Oxford U. Press, London, 1963), Chap. 5, p. 128.

Salour, M. M.

M. M. Salour, C. Cohen-Tannoudji, Phys. Rev. Lett. 38, 757 (1977).
[CrossRef]

Thomas, J. E.

D. J. Heizen, J. J. Childs, J. E. Thomas, M. S. Feld, Phys. Rev. Lett. 58, 1320 (1987).
[CrossRef]

J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
[CrossRef]

Willis, C. R.

J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
[CrossRef]

Appl. Phys. (1)

Y. B. Baklanov, V. P. Chebotayev, B. Y. Dubertsky, Appl. Phys. 11, 201 (1976).
[CrossRef]

Phys. Rev. Lett. (4)

J. C. Bergquist, S. A. Lee, J. L Hall, Phys. Rev. Lett. 38, 159 (1977).
[CrossRef]

M. M. Salour, C. Cohen-Tannoudji, Phys. Rev. Lett. 38, 757 (1977).
[CrossRef]

D. J. Heizen, J. J. Childs, J. E. Thomas, M. S. Feld, Phys. Rev. Lett. 58, 1320 (1987).
[CrossRef]

J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
[CrossRef]

Other (1)

N. F. Ramsey, Molecular Beams (Oxford U. Press, London, 1963), Chap. 5, p. 128.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup: M’s, mirrors; BS’s, beam splitters; C, collimator.

Fig. 2
Fig. 2

Fringe patterns for Na atoms. In (a) the distance between regions I and II is 15 cm; in (b) L is increased to 50 cm, and in (c) the oven temperature is increased to 600 °C, and L = 15 cm.

Fig. 3
Fig. 3

Fringe pattern for Na2 molecules.

Fig. 4
Fig. 4

Energy levels for the Na atom.

Equations (8)

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I = I 0 [ 1 + cos ( Δ t + ϕ 1 ) ] ,
d n 1 / d t = W 12 n 1 + γ 1 n 2 ,
d n 2 / d t = W 12 n 1 ( γ 1 + γ 3 ) n 2 ,
d n 3 / d t = γ 3 n 2 .
n 1 ( τ ) = n 1 ( 0 ) exp { γ 3 γ 1 + γ 3 I 0 I s τ T 1 [ 1 + cos ( Δ t + ϕ 1 ) ] } ,
n 1 ( τ ) = n 1 ( 0 ) exp { 1 γ 3 I 0 τ I s [ 1 + cos ( Δ t + ϕ 1 ) ] } ,
I F = A n 1 ( τ ) I 0 { 1 + cos [ Δ ( t + T ) + ϕ 2 ] } ,
I F = A I 0 n 1 ( 0 ) × { 1 γ 3 I 0 τ I s γ 3 I 0 τ 2 I s cos [ Δ T + ( ϕ 1 ϕ 2 ) ] } ,

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