Abstract

Deceleration and cooling of an atomic beam by a counterpropagating beam of white light is studied by numerically integrating the classical equations of motion. It is shown that nonresonant scattering limits the cooling, but this limitation can be overcome by the addition of a monochromatic, copropagating light beam. Such a scheme can continuously cool about 70% of a thermal atomic beam to a temperature of the order of 50 mK.

© 1988 Optical Society of America

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  1. W. D. Phillips, J. V. Prodan, H. J. Metcalf, J. Opt. Soc. Am. B 2, 1751 (1985).
    [CrossRef]
  2. W. Ertmer, R. Blatt, J. Hall, M. Zhu, Phys. Rev. Lett. 54, 996 (1985).
    [CrossRef] [PubMed]
  3. J. Prodan, A. Migdall, W. Phillips, I. So, H. Metcalf, J. Dalibard, Phys. Rev. Lett. 54, 992 (1985).
    [CrossRef] [PubMed]
  4. L. Moi, Opt. Commun. 50, 349 (1984).
    [CrossRef]
  5. J. Liang, C. Fabre, Opt. Commun. 59, 31 (1986).
    [CrossRef]
  6. S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).
    [CrossRef] [PubMed]
  7. J. Liang, L. Moi, C. Fabre, Opt. Commun. 52, 131 (1984).
    [CrossRef]
  8. R. G. DeVoe, IBM Almaden Research Center, San Jose, California 95120 (personal communication).
  9. T. V. Zueva, V. G. Minogin, Sov. Tech. Phys. Lett. 7, 411 (1981).
  10. J. E. Bjorkholm, R. R. Freeman, A. Ashkin, D. B. Pearson, Phys. Rev. Lett. 41, 1361 (1978).
    [CrossRef]
  11. D. Pritchard, Phys. Rev. Lett. 51, 1336 (1983).
    [CrossRef]
  12. J. Dalibard, S. Reynaud, C. Cohen-Tannoudji, Opt. Commun. 47, 395 (1983).
    [CrossRef]
  13. A. Ashkin, Opt. Lett. 9, 454 (1984).
    [CrossRef] [PubMed]

1986 (1)

J. Liang, C. Fabre, Opt. Commun. 59, 31 (1986).
[CrossRef]

1985 (4)

S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).
[CrossRef] [PubMed]

W. D. Phillips, J. V. Prodan, H. J. Metcalf, J. Opt. Soc. Am. B 2, 1751 (1985).
[CrossRef]

W. Ertmer, R. Blatt, J. Hall, M. Zhu, Phys. Rev. Lett. 54, 996 (1985).
[CrossRef] [PubMed]

J. Prodan, A. Migdall, W. Phillips, I. So, H. Metcalf, J. Dalibard, Phys. Rev. Lett. 54, 992 (1985).
[CrossRef] [PubMed]

1984 (3)

L. Moi, Opt. Commun. 50, 349 (1984).
[CrossRef]

J. Liang, L. Moi, C. Fabre, Opt. Commun. 52, 131 (1984).
[CrossRef]

A. Ashkin, Opt. Lett. 9, 454 (1984).
[CrossRef] [PubMed]

1983 (2)

D. Pritchard, Phys. Rev. Lett. 51, 1336 (1983).
[CrossRef]

J. Dalibard, S. Reynaud, C. Cohen-Tannoudji, Opt. Commun. 47, 395 (1983).
[CrossRef]

1981 (1)

T. V. Zueva, V. G. Minogin, Sov. Tech. Phys. Lett. 7, 411 (1981).

1978 (1)

J. E. Bjorkholm, R. R. Freeman, A. Ashkin, D. B. Pearson, Phys. Rev. Lett. 41, 1361 (1978).
[CrossRef]

Ashkin, A.

S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).
[CrossRef] [PubMed]

A. Ashkin, Opt. Lett. 9, 454 (1984).
[CrossRef] [PubMed]

J. E. Bjorkholm, R. R. Freeman, A. Ashkin, D. B. Pearson, Phys. Rev. Lett. 41, 1361 (1978).
[CrossRef]

Bjorkholm, J. E.

S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).
[CrossRef] [PubMed]

J. E. Bjorkholm, R. R. Freeman, A. Ashkin, D. B. Pearson, Phys. Rev. Lett. 41, 1361 (1978).
[CrossRef]

Blatt, R.

W. Ertmer, R. Blatt, J. Hall, M. Zhu, Phys. Rev. Lett. 54, 996 (1985).
[CrossRef] [PubMed]

Cable, A.

S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).
[CrossRef] [PubMed]

Chu, S.

S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).
[CrossRef] [PubMed]

Cohen-Tannoudji, C.

J. Dalibard, S. Reynaud, C. Cohen-Tannoudji, Opt. Commun. 47, 395 (1983).
[CrossRef]

Dalibard, J.

J. Prodan, A. Migdall, W. Phillips, I. So, H. Metcalf, J. Dalibard, Phys. Rev. Lett. 54, 992 (1985).
[CrossRef] [PubMed]

J. Dalibard, S. Reynaud, C. Cohen-Tannoudji, Opt. Commun. 47, 395 (1983).
[CrossRef]

DeVoe, R. G.

R. G. DeVoe, IBM Almaden Research Center, San Jose, California 95120 (personal communication).

Ertmer, W.

W. Ertmer, R. Blatt, J. Hall, M. Zhu, Phys. Rev. Lett. 54, 996 (1985).
[CrossRef] [PubMed]

Fabre, C.

J. Liang, C. Fabre, Opt. Commun. 59, 31 (1986).
[CrossRef]

J. Liang, L. Moi, C. Fabre, Opt. Commun. 52, 131 (1984).
[CrossRef]

Freeman, R. R.

J. E. Bjorkholm, R. R. Freeman, A. Ashkin, D. B. Pearson, Phys. Rev. Lett. 41, 1361 (1978).
[CrossRef]

Hall, J.

W. Ertmer, R. Blatt, J. Hall, M. Zhu, Phys. Rev. Lett. 54, 996 (1985).
[CrossRef] [PubMed]

Hollberg, L.

S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).
[CrossRef] [PubMed]

Liang, J.

J. Liang, C. Fabre, Opt. Commun. 59, 31 (1986).
[CrossRef]

J. Liang, L. Moi, C. Fabre, Opt. Commun. 52, 131 (1984).
[CrossRef]

Metcalf, H.

J. Prodan, A. Migdall, W. Phillips, I. So, H. Metcalf, J. Dalibard, Phys. Rev. Lett. 54, 992 (1985).
[CrossRef] [PubMed]

Metcalf, H. J.

Migdall, A.

J. Prodan, A. Migdall, W. Phillips, I. So, H. Metcalf, J. Dalibard, Phys. Rev. Lett. 54, 992 (1985).
[CrossRef] [PubMed]

Minogin, V. G.

T. V. Zueva, V. G. Minogin, Sov. Tech. Phys. Lett. 7, 411 (1981).

Moi, L.

J. Liang, L. Moi, C. Fabre, Opt. Commun. 52, 131 (1984).
[CrossRef]

L. Moi, Opt. Commun. 50, 349 (1984).
[CrossRef]

Pearson, D. B.

J. E. Bjorkholm, R. R. Freeman, A. Ashkin, D. B. Pearson, Phys. Rev. Lett. 41, 1361 (1978).
[CrossRef]

Phillips, W.

J. Prodan, A. Migdall, W. Phillips, I. So, H. Metcalf, J. Dalibard, Phys. Rev. Lett. 54, 992 (1985).
[CrossRef] [PubMed]

Phillips, W. D.

Pritchard, D.

D. Pritchard, Phys. Rev. Lett. 51, 1336 (1983).
[CrossRef]

Prodan, J.

J. Prodan, A. Migdall, W. Phillips, I. So, H. Metcalf, J. Dalibard, Phys. Rev. Lett. 54, 992 (1985).
[CrossRef] [PubMed]

Prodan, J. V.

Reynaud, S.

J. Dalibard, S. Reynaud, C. Cohen-Tannoudji, Opt. Commun. 47, 395 (1983).
[CrossRef]

So, I.

J. Prodan, A. Migdall, W. Phillips, I. So, H. Metcalf, J. Dalibard, Phys. Rev. Lett. 54, 992 (1985).
[CrossRef] [PubMed]

Zhu, M.

W. Ertmer, R. Blatt, J. Hall, M. Zhu, Phys. Rev. Lett. 54, 996 (1985).
[CrossRef] [PubMed]

Zueva, T. V.

T. V. Zueva, V. G. Minogin, Sov. Tech. Phys. Lett. 7, 411 (1981).

J. Opt. Soc. Am. B (1)

Opt. Commun. (4)

L. Moi, Opt. Commun. 50, 349 (1984).
[CrossRef]

J. Liang, C. Fabre, Opt. Commun. 59, 31 (1986).
[CrossRef]

J. Liang, L. Moi, C. Fabre, Opt. Commun. 52, 131 (1984).
[CrossRef]

J. Dalibard, S. Reynaud, C. Cohen-Tannoudji, Opt. Commun. 47, 395 (1983).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. Lett. (5)

J. E. Bjorkholm, R. R. Freeman, A. Ashkin, D. B. Pearson, Phys. Rev. Lett. 41, 1361 (1978).
[CrossRef]

D. Pritchard, Phys. Rev. Lett. 51, 1336 (1983).
[CrossRef]

S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).
[CrossRef] [PubMed]

W. Ertmer, R. Blatt, J. Hall, M. Zhu, Phys. Rev. Lett. 54, 996 (1985).
[CrossRef] [PubMed]

J. Prodan, A. Migdall, W. Phillips, I. So, H. Metcalf, J. Dalibard, Phys. Rev. Lett. 54, 992 (1985).
[CrossRef] [PubMed]

Sov. Tech. Phys. Lett. (1)

T. V. Zueva, V. G. Minogin, Sov. Tech. Phys. Lett. 7, 411 (1981).

Other (1)

R. G. DeVoe, IBM Almaden Research Center, San Jose, California 95120 (personal communication).

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Figures (3)

Fig. 1
Fig. 1

Schematic depiction of an apparatus for white-light cooling. EOM, electro-optic modulator generating a quasi-white frequency spectrum on L1. Not shown is a vacuum chamber enclosing the atomic beam.

Fig. 2
Fig. 2

Calculated velocity distributions of (a) the input and (b) the output atomic beams for white-light cooling without a copropagating laser beam. The atoms are from an effusive source at 500 K.

Fig. 3
Fig. 3

Same as Fig. 2 but with a copropagating beam tuned to the atomic resonance frequency ωa. The cutoff velocity is υ0 = 24 m/sec, and β = 120.

Equations (2)

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I i = I 0 J i 2 ( β ) .
a = ( ћ / 2 m τ ) i K i G i / [ 1 + G i + ( ω i ω a k i · v ) 2 ] ,

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