Abstract

An experimental investigation of the coherent interaction of femtosecond pulses with two resonant sequential transitions of Rb atoms is presented. Fluorescence from the atomic system exhibits beating at a frequency given by difference in the sequential atomic transitions. The results are interpreted in terms of quantum interference in the induced coherence and its interaction with the field that results from a cooperative emission process.

© 2000 Optical Society of America

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References

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  1. D. Meshulach and Y. Silberberg, Nature 396, 239 (1999).
  2. V. Blanchet, C. Nicole, M. A. Bouchene, and B. Girard, Phys. Rev. Lett. 78, 2716 (1997).
    [CrossRef]
  3. V. Blanchet, M. A. Bouchene, and B. Girard, J. Chem. Phys. 108, 4862 (1997).
  4. J. Arlt, C. Weiss, G. Torosyan, and R. Beigang, Phys. Rev. Lett. 79, 4774 (1997).
    [CrossRef]
  5. H. C. Tran, P. C. John, J. Gao, and J. G. Eden, Opt. Lett. 23, 70 (1998).
    [CrossRef]
  6. C. Nicole, M. A. Bourchene, S. Zamith, N. Melikechi, and B. Girard, Phys. Rev. A 60, R1755 (1999).
    [CrossRef]
  7. A. A. Zozulya, S. A. Diddams, A. G. Van Engen, and T. S. Clement, Phys. Rev. Lett. 82, 1430 (1999).
    [CrossRef]
  8. M. R. Fetterman, J. C. Davis, D. Goswami, W. Yang, and W. S. Warren, Phys. Rev. Lett. 82, 3984 (1999).
    [CrossRef]
  9. J. K. Ranka, R. W. Schrirmer, and A. L. Gaeta, Phys. Rev. A 57, R36 (1998).
    [CrossRef]
  10. U. Kallmann, S. Brattke, and W. Hartmann, Phys. Rev. A 59, 814 (1999).
    [CrossRef]
  11. K. Ikeda, J. Okada, and M. Matsuoka, J. Phys. Soc. Jpn. 48, 1636 (1980).
    [CrossRef]
  12. J. H. Brownell, X. Lu, and S. R. Hartmann, Phys. Rev. Lett. 75, 3265 (1995).
    [CrossRef] [PubMed]

1999 (5)

D. Meshulach and Y. Silberberg, Nature 396, 239 (1999).

C. Nicole, M. A. Bourchene, S. Zamith, N. Melikechi, and B. Girard, Phys. Rev. A 60, R1755 (1999).
[CrossRef]

A. A. Zozulya, S. A. Diddams, A. G. Van Engen, and T. S. Clement, Phys. Rev. Lett. 82, 1430 (1999).
[CrossRef]

M. R. Fetterman, J. C. Davis, D. Goswami, W. Yang, and W. S. Warren, Phys. Rev. Lett. 82, 3984 (1999).
[CrossRef]

U. Kallmann, S. Brattke, and W. Hartmann, Phys. Rev. A 59, 814 (1999).
[CrossRef]

1998 (2)

H. C. Tran, P. C. John, J. Gao, and J. G. Eden, Opt. Lett. 23, 70 (1998).
[CrossRef]

J. K. Ranka, R. W. Schrirmer, and A. L. Gaeta, Phys. Rev. A 57, R36 (1998).
[CrossRef]

1997 (3)

V. Blanchet, C. Nicole, M. A. Bouchene, and B. Girard, Phys. Rev. Lett. 78, 2716 (1997).
[CrossRef]

V. Blanchet, M. A. Bouchene, and B. Girard, J. Chem. Phys. 108, 4862 (1997).

J. Arlt, C. Weiss, G. Torosyan, and R. Beigang, Phys. Rev. Lett. 79, 4774 (1997).
[CrossRef]

1995 (1)

J. H. Brownell, X. Lu, and S. R. Hartmann, Phys. Rev. Lett. 75, 3265 (1995).
[CrossRef] [PubMed]

1980 (1)

K. Ikeda, J. Okada, and M. Matsuoka, J. Phys. Soc. Jpn. 48, 1636 (1980).
[CrossRef]

Arlt, J.

J. Arlt, C. Weiss, G. Torosyan, and R. Beigang, Phys. Rev. Lett. 79, 4774 (1997).
[CrossRef]

Beigang, R.

J. Arlt, C. Weiss, G. Torosyan, and R. Beigang, Phys. Rev. Lett. 79, 4774 (1997).
[CrossRef]

Blanchet, V.

V. Blanchet, C. Nicole, M. A. Bouchene, and B. Girard, Phys. Rev. Lett. 78, 2716 (1997).
[CrossRef]

V. Blanchet, M. A. Bouchene, and B. Girard, J. Chem. Phys. 108, 4862 (1997).

Bouchene, M. A.

V. Blanchet, M. A. Bouchene, and B. Girard, J. Chem. Phys. 108, 4862 (1997).

V. Blanchet, C. Nicole, M. A. Bouchene, and B. Girard, Phys. Rev. Lett. 78, 2716 (1997).
[CrossRef]

Bourchene, M. A.

C. Nicole, M. A. Bourchene, S. Zamith, N. Melikechi, and B. Girard, Phys. Rev. A 60, R1755 (1999).
[CrossRef]

Brattke, S.

U. Kallmann, S. Brattke, and W. Hartmann, Phys. Rev. A 59, 814 (1999).
[CrossRef]

Brownell, J. H.

J. H. Brownell, X. Lu, and S. R. Hartmann, Phys. Rev. Lett. 75, 3265 (1995).
[CrossRef] [PubMed]

Clement, T. S.

A. A. Zozulya, S. A. Diddams, A. G. Van Engen, and T. S. Clement, Phys. Rev. Lett. 82, 1430 (1999).
[CrossRef]

Davis, J. C.

M. R. Fetterman, J. C. Davis, D. Goswami, W. Yang, and W. S. Warren, Phys. Rev. Lett. 82, 3984 (1999).
[CrossRef]

Diddams, S. A.

A. A. Zozulya, S. A. Diddams, A. G. Van Engen, and T. S. Clement, Phys. Rev. Lett. 82, 1430 (1999).
[CrossRef]

Eden, J. G.

Fetterman, M. R.

M. R. Fetterman, J. C. Davis, D. Goswami, W. Yang, and W. S. Warren, Phys. Rev. Lett. 82, 3984 (1999).
[CrossRef]

Gaeta, A. L.

J. K. Ranka, R. W. Schrirmer, and A. L. Gaeta, Phys. Rev. A 57, R36 (1998).
[CrossRef]

Gao, J.

Girard, B.

C. Nicole, M. A. Bourchene, S. Zamith, N. Melikechi, and B. Girard, Phys. Rev. A 60, R1755 (1999).
[CrossRef]

V. Blanchet, C. Nicole, M. A. Bouchene, and B. Girard, Phys. Rev. Lett. 78, 2716 (1997).
[CrossRef]

V. Blanchet, M. A. Bouchene, and B. Girard, J. Chem. Phys. 108, 4862 (1997).

Goswami, D.

M. R. Fetterman, J. C. Davis, D. Goswami, W. Yang, and W. S. Warren, Phys. Rev. Lett. 82, 3984 (1999).
[CrossRef]

Hartmann, S. R.

J. H. Brownell, X. Lu, and S. R. Hartmann, Phys. Rev. Lett. 75, 3265 (1995).
[CrossRef] [PubMed]

Hartmann, W.

U. Kallmann, S. Brattke, and W. Hartmann, Phys. Rev. A 59, 814 (1999).
[CrossRef]

Ikeda, K.

K. Ikeda, J. Okada, and M. Matsuoka, J. Phys. Soc. Jpn. 48, 1636 (1980).
[CrossRef]

John, P. C.

Kallmann, U.

U. Kallmann, S. Brattke, and W. Hartmann, Phys. Rev. A 59, 814 (1999).
[CrossRef]

Lu, X.

J. H. Brownell, X. Lu, and S. R. Hartmann, Phys. Rev. Lett. 75, 3265 (1995).
[CrossRef] [PubMed]

Matsuoka, M.

K. Ikeda, J. Okada, and M. Matsuoka, J. Phys. Soc. Jpn. 48, 1636 (1980).
[CrossRef]

Melikechi, N.

C. Nicole, M. A. Bourchene, S. Zamith, N. Melikechi, and B. Girard, Phys. Rev. A 60, R1755 (1999).
[CrossRef]

Meshulach, D.

D. Meshulach and Y. Silberberg, Nature 396, 239 (1999).

Nicole, C.

C. Nicole, M. A. Bourchene, S. Zamith, N. Melikechi, and B. Girard, Phys. Rev. A 60, R1755 (1999).
[CrossRef]

V. Blanchet, C. Nicole, M. A. Bouchene, and B. Girard, Phys. Rev. Lett. 78, 2716 (1997).
[CrossRef]

Okada, J.

K. Ikeda, J. Okada, and M. Matsuoka, J. Phys. Soc. Jpn. 48, 1636 (1980).
[CrossRef]

Ranka, J. K.

J. K. Ranka, R. W. Schrirmer, and A. L. Gaeta, Phys. Rev. A 57, R36 (1998).
[CrossRef]

Schrirmer, R. W.

J. K. Ranka, R. W. Schrirmer, and A. L. Gaeta, Phys. Rev. A 57, R36 (1998).
[CrossRef]

Silberberg, Y.

D. Meshulach and Y. Silberberg, Nature 396, 239 (1999).

Torosyan, G.

J. Arlt, C. Weiss, G. Torosyan, and R. Beigang, Phys. Rev. Lett. 79, 4774 (1997).
[CrossRef]

Tran, H. C.

Van Engen, A. G.

A. A. Zozulya, S. A. Diddams, A. G. Van Engen, and T. S. Clement, Phys. Rev. Lett. 82, 1430 (1999).
[CrossRef]

Warren, W. S.

M. R. Fetterman, J. C. Davis, D. Goswami, W. Yang, and W. S. Warren, Phys. Rev. Lett. 82, 3984 (1999).
[CrossRef]

Weiss, C.

J. Arlt, C. Weiss, G. Torosyan, and R. Beigang, Phys. Rev. Lett. 79, 4774 (1997).
[CrossRef]

Yang, W.

M. R. Fetterman, J. C. Davis, D. Goswami, W. Yang, and W. S. Warren, Phys. Rev. Lett. 82, 3984 (1999).
[CrossRef]

Zamith, S.

C. Nicole, M. A. Bourchene, S. Zamith, N. Melikechi, and B. Girard, Phys. Rev. A 60, R1755 (1999).
[CrossRef]

Zozulya, A. A.

A. A. Zozulya, S. A. Diddams, A. G. Van Engen, and T. S. Clement, Phys. Rev. Lett. 82, 1430 (1999).
[CrossRef]

J. Chem. Phys. (1)

V. Blanchet, M. A. Bouchene, and B. Girard, J. Chem. Phys. 108, 4862 (1997).

J. Phys. Soc. Jpn. (1)

K. Ikeda, J. Okada, and M. Matsuoka, J. Phys. Soc. Jpn. 48, 1636 (1980).
[CrossRef]

Nature (1)

D. Meshulach and Y. Silberberg, Nature 396, 239 (1999).

Opt. Lett. (1)

Phys. Rev. A (3)

C. Nicole, M. A. Bourchene, S. Zamith, N. Melikechi, and B. Girard, Phys. Rev. A 60, R1755 (1999).
[CrossRef]

J. K. Ranka, R. W. Schrirmer, and A. L. Gaeta, Phys. Rev. A 57, R36 (1998).
[CrossRef]

U. Kallmann, S. Brattke, and W. Hartmann, Phys. Rev. A 59, 814 (1999).
[CrossRef]

Phys. Rev. Lett. (5)

J. H. Brownell, X. Lu, and S. R. Hartmann, Phys. Rev. Lett. 75, 3265 (1995).
[CrossRef] [PubMed]

A. A. Zozulya, S. A. Diddams, A. G. Van Engen, and T. S. Clement, Phys. Rev. Lett. 82, 1430 (1999).
[CrossRef]

M. R. Fetterman, J. C. Davis, D. Goswami, W. Yang, and W. S. Warren, Phys. Rev. Lett. 82, 3984 (1999).
[CrossRef]

V. Blanchet, C. Nicole, M. A. Bouchene, and B. Girard, Phys. Rev. Lett. 78, 2716 (1997).
[CrossRef]

J. Arlt, C. Weiss, G. Torosyan, and R. Beigang, Phys. Rev. Lett. 79, 4774 (1997).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Diagram of the relevant energy levels of Rb.

Fig. 2
Fig. 2

Emission at 420 nm as a function of interpulse delay. Each curve corresponds to one fast scan. (a) Forward emission for several atomic densities. From top to bottom the densities are 2.8×1013, 7.6×1012, 5.2×1012, and 3.7×1012 cm-3. (b) Perpendicular emission for 5.5×1012 cm-3. The inset shows an average of three scans.

Fig. 3
Fig. 3

Cross-correlation measurements for different atomic densities. Inset, expansion of the top curve.

Equations (4)

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ρ33τ=1+β2F02+β2Fτ2+F-τ2+β2 Reexpiw2-w1τF*-τFτ,
Fτ=-μ12μ23-dtexpiw2-wLtE0t×-t+τdt expiw1-wLtE0t,
σ23τ=-iμ23E˜1w2F0+β2Fτ×expiw2-w1τ,
ρ·33=-γ3ρ33-2iμ23ρ23EFID*-c.c.,

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