Abstract

Temporal interference between photon echoes of adjacent transitions in simple atoms is demonstrated, yielding suppression of the echo intensity by a factor of 104. The method provides a sensitive probe of perturbations that differentially affect the phase of the dipole moments for the adjacent transitions.

© 1994 Optical Society of America

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References

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  1. L. Q. Lambert, A. Compaan, I. D. Abella, Phys. Rev. A 4, 2022 (1971); M. Koch, J. Feldman, G. von Plessan, E. O. Gobel, P. Thomas, K. Kohler, Phys. Rev. Lett. 69, 3631 (1993).
    [CrossRef]
  2. A. M. Bacon, H. Z. Zhao, P. J. Laverty, L. J. Wang, J. E. Thomas, Phys. Rev. A 49, 379 (1994).
    [CrossRef] [PubMed]
  3. P. R. Berman, Phys. Rev. A 5, 927 (1972).
    [CrossRef]
  4. E. W. Smith, J. Cooper, W. R. Chappell, T. Dillon, J. Quant. Spectrosc. Radiat. Transfer 11, 1547, 1567 (1971).
    [CrossRef]
  5. V. A. Alekseev, T. L. Andreeva, I. I. Sobelman, Zh. Eksp. Teor. Fiz. 62, 614 (1972) [Sov. Phys. JETP 35, 325 (1972)].
  6. S. Stenholm, J. Phys. B 10, 761 (1977).
    [CrossRef]
  7. W. E. Baylis, Phys. Rev. A 7, 1190 (1973).
    [CrossRef]
  8. SeeF. Rohart, B. Segard, B. Marke, J. Phys. B 12, 3891 (1979), and references therein.
    [CrossRef]
  9. Ph. Brechignac, J. Chem. Phys. 76, 3389 (1982).
    [CrossRef]
  10. J. E. Thomas, J. M. Liang, R. R. Dasari, Phys. Rev. A 42, 1669 (1990); J. M. Liang, L. A. Spinelli, R. W. Quinn, R. R. Dasari, M. S. Feld, J. E. Thomas, Phys. Rev. Lett. 55, 2684 (1985).
    [CrossRef] [PubMed]
  11. SeeP. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 1550 (1982).
    [CrossRef]

1994

A. M. Bacon, H. Z. Zhao, P. J. Laverty, L. J. Wang, J. E. Thomas, Phys. Rev. A 49, 379 (1994).
[CrossRef] [PubMed]

1990

J. E. Thomas, J. M. Liang, R. R. Dasari, Phys. Rev. A 42, 1669 (1990); J. M. Liang, L. A. Spinelli, R. W. Quinn, R. R. Dasari, M. S. Feld, J. E. Thomas, Phys. Rev. Lett. 55, 2684 (1985).
[CrossRef] [PubMed]

1982

SeeP. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 1550 (1982).
[CrossRef]

Ph. Brechignac, J. Chem. Phys. 76, 3389 (1982).
[CrossRef]

1979

SeeF. Rohart, B. Segard, B. Marke, J. Phys. B 12, 3891 (1979), and references therein.
[CrossRef]

1977

S. Stenholm, J. Phys. B 10, 761 (1977).
[CrossRef]

1973

W. E. Baylis, Phys. Rev. A 7, 1190 (1973).
[CrossRef]

1972

P. R. Berman, Phys. Rev. A 5, 927 (1972).
[CrossRef]

V. A. Alekseev, T. L. Andreeva, I. I. Sobelman, Zh. Eksp. Teor. Fiz. 62, 614 (1972) [Sov. Phys. JETP 35, 325 (1972)].

1971

L. Q. Lambert, A. Compaan, I. D. Abella, Phys. Rev. A 4, 2022 (1971); M. Koch, J. Feldman, G. von Plessan, E. O. Gobel, P. Thomas, K. Kohler, Phys. Rev. Lett. 69, 3631 (1993).
[CrossRef]

E. W. Smith, J. Cooper, W. R. Chappell, T. Dillon, J. Quant. Spectrosc. Radiat. Transfer 11, 1547, 1567 (1971).
[CrossRef]

Abella, I. D.

L. Q. Lambert, A. Compaan, I. D. Abella, Phys. Rev. A 4, 2022 (1971); M. Koch, J. Feldman, G. von Plessan, E. O. Gobel, P. Thomas, K. Kohler, Phys. Rev. Lett. 69, 3631 (1993).
[CrossRef]

Alekseev, V. A.

V. A. Alekseev, T. L. Andreeva, I. I. Sobelman, Zh. Eksp. Teor. Fiz. 62, 614 (1972) [Sov. Phys. JETP 35, 325 (1972)].

Andreeva, T. L.

V. A. Alekseev, T. L. Andreeva, I. I. Sobelman, Zh. Eksp. Teor. Fiz. 62, 614 (1972) [Sov. Phys. JETP 35, 325 (1972)].

Bacon, A. M.

A. M. Bacon, H. Z. Zhao, P. J. Laverty, L. J. Wang, J. E. Thomas, Phys. Rev. A 49, 379 (1994).
[CrossRef] [PubMed]

Baylis, W. E.

W. E. Baylis, Phys. Rev. A 7, 1190 (1973).
[CrossRef]

Berman, P. R.

SeeP. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 1550 (1982).
[CrossRef]

P. R. Berman, Phys. Rev. A 5, 927 (1972).
[CrossRef]

Brechignac, Ph.

Ph. Brechignac, J. Chem. Phys. 76, 3389 (1982).
[CrossRef]

Chappell, W. R.

E. W. Smith, J. Cooper, W. R. Chappell, T. Dillon, J. Quant. Spectrosc. Radiat. Transfer 11, 1547, 1567 (1971).
[CrossRef]

Compaan, A.

L. Q. Lambert, A. Compaan, I. D. Abella, Phys. Rev. A 4, 2022 (1971); M. Koch, J. Feldman, G. von Plessan, E. O. Gobel, P. Thomas, K. Kohler, Phys. Rev. Lett. 69, 3631 (1993).
[CrossRef]

Cooper, J.

E. W. Smith, J. Cooper, W. R. Chappell, T. Dillon, J. Quant. Spectrosc. Radiat. Transfer 11, 1547, 1567 (1971).
[CrossRef]

Dasari, R. R.

J. E. Thomas, J. M. Liang, R. R. Dasari, Phys. Rev. A 42, 1669 (1990); J. M. Liang, L. A. Spinelli, R. W. Quinn, R. R. Dasari, M. S. Feld, J. E. Thomas, Phys. Rev. Lett. 55, 2684 (1985).
[CrossRef] [PubMed]

Dillon, T.

E. W. Smith, J. Cooper, W. R. Chappell, T. Dillon, J. Quant. Spectrosc. Radiat. Transfer 11, 1547, 1567 (1971).
[CrossRef]

Hartmann, S. R.

SeeP. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 1550 (1982).
[CrossRef]

Lambert, L. Q.

L. Q. Lambert, A. Compaan, I. D. Abella, Phys. Rev. A 4, 2022 (1971); M. Koch, J. Feldman, G. von Plessan, E. O. Gobel, P. Thomas, K. Kohler, Phys. Rev. Lett. 69, 3631 (1993).
[CrossRef]

Laverty, P. J.

A. M. Bacon, H. Z. Zhao, P. J. Laverty, L. J. Wang, J. E. Thomas, Phys. Rev. A 49, 379 (1994).
[CrossRef] [PubMed]

Liang, J. M.

J. E. Thomas, J. M. Liang, R. R. Dasari, Phys. Rev. A 42, 1669 (1990); J. M. Liang, L. A. Spinelli, R. W. Quinn, R. R. Dasari, M. S. Feld, J. E. Thomas, Phys. Rev. Lett. 55, 2684 (1985).
[CrossRef] [PubMed]

Marke, B.

SeeF. Rohart, B. Segard, B. Marke, J. Phys. B 12, 3891 (1979), and references therein.
[CrossRef]

Mossberg, T. W.

SeeP. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 1550 (1982).
[CrossRef]

Rohart, F.

SeeF. Rohart, B. Segard, B. Marke, J. Phys. B 12, 3891 (1979), and references therein.
[CrossRef]

Segard, B.

SeeF. Rohart, B. Segard, B. Marke, J. Phys. B 12, 3891 (1979), and references therein.
[CrossRef]

Smith, E. W.

E. W. Smith, J. Cooper, W. R. Chappell, T. Dillon, J. Quant. Spectrosc. Radiat. Transfer 11, 1547, 1567 (1971).
[CrossRef]

Sobelman, I. I.

V. A. Alekseev, T. L. Andreeva, I. I. Sobelman, Zh. Eksp. Teor. Fiz. 62, 614 (1972) [Sov. Phys. JETP 35, 325 (1972)].

Stenholm, S.

S. Stenholm, J. Phys. B 10, 761 (1977).
[CrossRef]

Thomas, J. E.

A. M. Bacon, H. Z. Zhao, P. J. Laverty, L. J. Wang, J. E. Thomas, Phys. Rev. A 49, 379 (1994).
[CrossRef] [PubMed]

J. E. Thomas, J. M. Liang, R. R. Dasari, Phys. Rev. A 42, 1669 (1990); J. M. Liang, L. A. Spinelli, R. W. Quinn, R. R. Dasari, M. S. Feld, J. E. Thomas, Phys. Rev. Lett. 55, 2684 (1985).
[CrossRef] [PubMed]

Wang, L. J.

A. M. Bacon, H. Z. Zhao, P. J. Laverty, L. J. Wang, J. E. Thomas, Phys. Rev. A 49, 379 (1994).
[CrossRef] [PubMed]

Zhao, H. Z.

A. M. Bacon, H. Z. Zhao, P. J. Laverty, L. J. Wang, J. E. Thomas, Phys. Rev. A 49, 379 (1994).
[CrossRef] [PubMed]

J. Chem. Phys.

Ph. Brechignac, J. Chem. Phys. 76, 3389 (1982).
[CrossRef]

J. Phys. B

S. Stenholm, J. Phys. B 10, 761 (1977).
[CrossRef]

SeeF. Rohart, B. Segard, B. Marke, J. Phys. B 12, 3891 (1979), and references therein.
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer

E. W. Smith, J. Cooper, W. R. Chappell, T. Dillon, J. Quant. Spectrosc. Radiat. Transfer 11, 1547, 1567 (1971).
[CrossRef]

Phys. Rev. A

L. Q. Lambert, A. Compaan, I. D. Abella, Phys. Rev. A 4, 2022 (1971); M. Koch, J. Feldman, G. von Plessan, E. O. Gobel, P. Thomas, K. Kohler, Phys. Rev. Lett. 69, 3631 (1993).
[CrossRef]

A. M. Bacon, H. Z. Zhao, P. J. Laverty, L. J. Wang, J. E. Thomas, Phys. Rev. A 49, 379 (1994).
[CrossRef] [PubMed]

P. R. Berman, Phys. Rev. A 5, 927 (1972).
[CrossRef]

W. E. Baylis, Phys. Rev. A 7, 1190 (1973).
[CrossRef]

J. E. Thomas, J. M. Liang, R. R. Dasari, Phys. Rev. A 42, 1669 (1990); J. M. Liang, L. A. Spinelli, R. W. Quinn, R. R. Dasari, M. S. Feld, J. E. Thomas, Phys. Rev. Lett. 55, 2684 (1985).
[CrossRef] [PubMed]

SeeP. R. Berman, T. W. Mossberg, S. R. Hartmann, Phys. Rev. A 25, 1550 (1982).
[CrossRef]

Zh. Eksp. Teor. Fiz.

V. A. Alekseev, T. L. Andreeva, I. I. Sobelman, Zh. Eksp. Teor. Fiz. 62, 614 (1972) [Sov. Phys. JETP 35, 325 (1972)].

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Figures (3)

Fig. 1
Fig. 1

Experimental scheme. Two forward-propagating pulses create velocity gratings in the population inversions for two equal-strength adjacent transitions. Interfering backward echoes are induced by a counterpropagating third pulse. GP’s, glan prisms; AOM’s, acousto-optic modulators.

Fig. 2
Fig. 2

Interfering echo signals. Constructive interference Δω = 0 (left) and destructive interference ΔωTeff = π/2 (right, magnified 100 times). The argon perturber pressure is 300 mTorr, causing asymmetry in the destructively interfering signal.

Fig. 3
Fig. 3

Temporal shift verus perturber pressure: Upper data, ΔωTeff = π/2, slope 3.23 ± 0.25 ns/Torr. Lower data, ΔωTeff = 3π/2, slope 2.87 ± 0.39 ns/Torr. Note that the right-hand scale (lower data) has been shifted for clarity.

Equations (6)

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d ( t ) = i = 1 , 2 d v A ( v ) cos [ ( ω - ω o i - q v ) T ] × exp [ - i ( ω o i - q v ) ( t - T ) ] ,
I ECHO ( τ ) = F ( τ ) 2 cos 2 [ Δ ω 2 ( 2 T + τ ) ] ,
I ECHO ( τ ) = A o exp ( - 2 τ 2 3 τ p 2 ) 4 ( Δ ω ) 2 9 τ - c o ( p ) 2 ,
c o ( p ) = ( 3 - 3 2 π ) γ B τ p 2 + 3 2 | I c Δ ω | .
I c 2 Re [ exp ( - i Δ ω T ) 0 T d t γ c ( t ) ] ,
γ c ( t ) d Δ v W c ( Δ v ) cos ( q Δ v t ) exp ( i Δ ω t )

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