Abstract

A method for measuring atomic spatial distributions is suggested, based on Raman transitions in an applied force field. This technique eliminates the Doppler effect and provides high-frequency resolution for long-lived states, leading to position resolution that is fundamentally limited by the uncertainty principle. The effects of atomic motion are discussed, and a simplified analysis of the method is presented.

© 1989 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. See P. E. Martin, B. G. Oldaker, A. H. Miklich, D. E. Pritchard, Phys. Rev. Lett. 60, 515 (1988), and references therein.
    [CrossRef]
  2. V. P. Chebotaev, B. Ya. Dubetsky, A. P. Kasantsev, V. P. Yakovlev, J. Opt. Soc. Am. B 2, 1791 (1984).
    [CrossRef]
  3. C. Salomon, J. Dalibard, A. Aspect, H. Metcalf, C. Cohen-Tannoudji, Phys. Rev. Lett. 59, 1659 (1987).
    [CrossRef] [PubMed]
  4. V. I. Balykin, V. S. Letokhov, Phys. Today 42(4), 23 (1989).
    [CrossRef]
  5. A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, C. Cohen-Tannoudji, Phys. Rev. Lett. 61, 826 (1988).
    [CrossRef] [PubMed]
  6. See, for example, W. D. Phillips, J. V. Prodan, H. J. Metcalf, J. Opt. Soc. Am. B 2, 1751 (1985).
    [CrossRef]
  7. J. E. Thomas, P. R. Hemmer, S. Ezekiel, C. C. Leiby, R. H. Picard, C. R. Willis, Phys. Rev. Lett. 48, 867 (1982).
    [CrossRef]
  8. N. F. Ramsey, Molecular Beams (Oxford U. Press, London, 1956).
  9. J. E. Thomas, K. D. Stokes, J. Gardner, C. Schnurr, “Ultrahigh-resolution position measurements using optical fields,” to be submitted to Phys. Rev. A.

1989

V. I. Balykin, V. S. Letokhov, Phys. Today 42(4), 23 (1989).
[CrossRef]

1988

A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, C. Cohen-Tannoudji, Phys. Rev. Lett. 61, 826 (1988).
[CrossRef] [PubMed]

See P. E. Martin, B. G. Oldaker, A. H. Miklich, D. E. Pritchard, Phys. Rev. Lett. 60, 515 (1988), and references therein.
[CrossRef]

1987

C. Salomon, J. Dalibard, A. Aspect, H. Metcalf, C. Cohen-Tannoudji, Phys. Rev. Lett. 59, 1659 (1987).
[CrossRef] [PubMed]

1985

1984

1982

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

Arimondo, E.

A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, C. Cohen-Tannoudji, Phys. Rev. Lett. 61, 826 (1988).
[CrossRef] [PubMed]

Aspect, A.

A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, C. Cohen-Tannoudji, Phys. Rev. Lett. 61, 826 (1988).
[CrossRef] [PubMed]

C. Salomon, J. Dalibard, A. Aspect, H. Metcalf, C. Cohen-Tannoudji, Phys. Rev. Lett. 59, 1659 (1987).
[CrossRef] [PubMed]

Balykin, V. I.

V. I. Balykin, V. S. Letokhov, Phys. Today 42(4), 23 (1989).
[CrossRef]

Chebotaev, V. P.

Cohen-Tannoudji, C.

A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, C. Cohen-Tannoudji, Phys. Rev. Lett. 61, 826 (1988).
[CrossRef] [PubMed]

C. Salomon, J. Dalibard, A. Aspect, H. Metcalf, C. Cohen-Tannoudji, Phys. Rev. Lett. 59, 1659 (1987).
[CrossRef] [PubMed]

Dalibard, J.

C. Salomon, J. Dalibard, A. Aspect, H. Metcalf, C. Cohen-Tannoudji, Phys. Rev. Lett. 59, 1659 (1987).
[CrossRef] [PubMed]

Dubetsky, B. Ya.

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]

Gardner, J.

J. E. Thomas, K. D. Stokes, J. Gardner, C. Schnurr, “Ultrahigh-resolution position measurements using optical fields,” to be submitted to Phys. Rev. A.

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]

Kaiser, R.

A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, C. Cohen-Tannoudji, Phys. Rev. Lett. 61, 826 (1988).
[CrossRef] [PubMed]

Kasantsev, A. P.

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]

Letokhov, V. S.

V. I. Balykin, V. S. Letokhov, Phys. Today 42(4), 23 (1989).
[CrossRef]

Martin, P. E.

See P. E. Martin, B. G. Oldaker, A. H. Miklich, D. E. Pritchard, Phys. Rev. Lett. 60, 515 (1988), and references therein.
[CrossRef]

Metcalf, H.

C. Salomon, J. Dalibard, A. Aspect, H. Metcalf, C. Cohen-Tannoudji, Phys. Rev. Lett. 59, 1659 (1987).
[CrossRef] [PubMed]

Metcalf, H. J.

Miklich, A. H.

See P. E. Martin, B. G. Oldaker, A. H. Miklich, D. E. Pritchard, Phys. Rev. Lett. 60, 515 (1988), and references therein.
[CrossRef]

Oldaker, B. G.

See P. E. Martin, B. G. Oldaker, A. H. Miklich, D. E. Pritchard, Phys. Rev. Lett. 60, 515 (1988), and references therein.
[CrossRef]

Phillips, W. D.

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]

Pritchard, D. E.

See P. E. Martin, B. G. Oldaker, A. H. Miklich, D. E. Pritchard, Phys. Rev. Lett. 60, 515 (1988), and references therein.
[CrossRef]

Prodan, J. V.

Ramsey, N. F.

N. F. Ramsey, Molecular Beams (Oxford U. Press, London, 1956).

Salomon, C.

C. Salomon, J. Dalibard, A. Aspect, H. Metcalf, C. Cohen-Tannoudji, Phys. Rev. Lett. 59, 1659 (1987).
[CrossRef] [PubMed]

Schnurr, C.

J. E. Thomas, K. D. Stokes, J. Gardner, C. Schnurr, “Ultrahigh-resolution position measurements using optical fields,” to be submitted to Phys. Rev. A.

Stokes, K. D.

J. E. Thomas, K. D. Stokes, J. Gardner, C. Schnurr, “Ultrahigh-resolution position measurements using optical fields,” to be submitted to Phys. Rev. A.

Thomas, J. E.

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

J. E. Thomas, K. D. Stokes, J. Gardner, C. Schnurr, “Ultrahigh-resolution position measurements using optical fields,” to be submitted to Phys. Rev. A.

Vansteenkiste, N.

A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, C. Cohen-Tannoudji, Phys. Rev. Lett. 61, 826 (1988).
[CrossRef] [PubMed]

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]

Yakovlev, V. P.

J. Opt. Soc. Am. B

Phys. Rev. Lett.

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

C. Salomon, J. Dalibard, A. Aspect, H. Metcalf, C. Cohen-Tannoudji, Phys. Rev. Lett. 59, 1659 (1987).
[CrossRef] [PubMed]

See P. E. Martin, B. G. Oldaker, A. H. Miklich, D. E. Pritchard, Phys. Rev. Lett. 60, 515 (1988), and references therein.
[CrossRef]

A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, C. Cohen-Tannoudji, Phys. Rev. Lett. 61, 826 (1988).
[CrossRef] [PubMed]

Phys. Today

V. I. Balykin, V. S. Letokhov, Phys. Today 42(4), 23 (1989).
[CrossRef]

Other

N. F. Ramsey, Molecular Beams (Oxford U. Press, London, 1956).

J. E. Thomas, K. D. Stokes, J. Gardner, C. Schnurr, “Ultrahigh-resolution position measurements using optical fields,” to be submitted to Phys. Rev. A.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

Three-level system and Raman fields. Atoms initially are in state 0.

Fig. 2
Fig. 2

Spatial-frequency gradient based on the light shift of two overlapping laser beams. Atoms propagate into the page along the y axis, Ω1 and Ω2 are the Raman laser fields.

Equations (4)

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

V ( x ) = ( x x 0 ) F ,
F Δ x / = 1 / T .
Δ x VEL = ( υ x / F ) 1 / 2 .
Δ x ACCEL = ( 2 / 2 M F ) 1 / 3 .

Metrics