Abstract

We report what we believe to be the first accuracy evaluation of an optical lattice clock based on the S01P03 transition of an alkaline earth boson, namely, Sr88 atoms. This transition has been enabled by using a static coupling magnetic field. The clock frequency is determined to be 429228066418009(32)Hz. The isotopic shift between Sr87 and Sr88 is 62188135Hz with fractional uncertainty 5×107. We discuss the necessary conditions to reach a clock accuracy of 1017 or less by using this scheme.

© 2007 Optical Society of America

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    [CrossRef] [PubMed]
  2. Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev, and V. I. Yudin, Phys. Rev. Lett. 96, 083002 (2006).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  7. A. Brusch, R. Le Targat, X. Baillard, M. Fouché, and P. Lemonde, Phys. Rev. Lett. 96, 103003 (2006).
    [CrossRef] [PubMed]
  8. I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  13. M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, and J. Ye, Phys. Rev. Lett. 98, 083002 (2007).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  15. R. Santra, E. Arimondo, T. Ido, C. H. Greene, and J. Ye, Phys. Rev. Lett. 94, 173002 (2005).
    [CrossRef] [PubMed]
  16. A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber, and L. Hollberg, Phys. Rev. Lett. 96, 083001 (2006).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  22. H. Katori, T. Ido, Y. Isoya, and M. Kuwata-Gonokami, Phys. Rev. Lett. 82, 1116 (1999).
    [CrossRef]
  23. K. Vogel, T. Dinneen, A. Gallagher, and J. Hall, IEEE Trans. Microwave Theory Tech. 48, 618 (1999).
  24. S. G. Porsev and A. Derevianko, Phys. Rev. A 74, 020502 (2006).
    [CrossRef]
  25. K. Gibble and S. Chu, Phys. Rev. Lett. 70, 1771 (1993).
    [CrossRef] [PubMed]
  26. Y. Sortais, S. Bize, C. Nicolas, A. Clairon, C. Salomon, and C. Williams, Phys. Rev. Lett. 85, 3117 (2000).
    [CrossRef] [PubMed]
  27. C. Fertig and K. Gibble, Phys. Rev. Lett. 85, 1622 (2000).
    [CrossRef] [PubMed]
  28. B. Young, F. Cruz, W. Itano, and J. C. Bergquist, Phys. Rev. Lett. 82, 3799 (1999).
    [CrossRef]

2007

M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, and J. Ye, Phys. Rev. Lett. 98, 083002 (2007).
[CrossRef] [PubMed]

V. D. Ovsiannikov, V. G. Pal'chikov, A. V. Taichenachev, V. I. Yudin, H. Katori, and M. Takamoto, Phys. Rev. A 75, 020501 (2007).
[CrossRef]

2006

A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber, and L. Hollberg, Phys. Rev. Lett. 96, 083001 (2006).
[CrossRef] [PubMed]

T. Zanon-Willette, A. D. Ludlow, S. Blatt, M. M. Boyd, E. Arimondo, and J. Ye, Phys. Rev. Lett. 97, 233001 (2006).
[CrossRef]

V. Ovsiannikov, V. Pal'chikov, H. Katori, and M. Takamoto, Quantum Electron. 36, 3 (2006).
[CrossRef]

A. D. Ludlow, M. M. Boyd, T. Zelevinsky, S. M. Foreman, S. Blatt, M. Notcutt, T. Ido, and J. Ye, Phys. Rev. Lett. 96, 033003 (2006).
[CrossRef] [PubMed]

M. Takamoto, F.-L. Hong, R. Higashi, Y. Fujii, M. Imae, and H. Katori, J. Phys. Soc. Jpn. 75, 104302 (2006).
[CrossRef]

Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev, and V. I. Yudin, Phys. Rev. Lett. 96, 083002 (2006).
[CrossRef] [PubMed]

R. Le Targat, X. Baillard, M. Fouché, A. Brusch, O. Tcherbakoff, G. D. Rovera, and P. Lemonde, Phys. Rev. Lett. 97, 130801 (2006).
[CrossRef] [PubMed]

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

A. Brusch, R. Le Targat, X. Baillard, M. Fouché, and P. Lemonde, Phys. Rev. Lett. 96, 103003 (2006).
[CrossRef] [PubMed]

Y. B. Band and A. Vardi, Phys. Rev. A 74, 033807 (2006).
[CrossRef]

C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
[CrossRef]

S. G. Porsev and A. Derevianko, Phys. Rev. A 74, 020502 (2006).
[CrossRef]

2005

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, Nature 435, 321 (2005).
[CrossRef] [PubMed]

P. Lemonde and P. Wolf, Phys. Rev. A 72, 033409 (2005).
[CrossRef]

T. Hong, C. Cramer, W. Nagourney, and E. N. Fortson, Phys. Rev. Lett. 94, 050801 (2005).
[CrossRef] [PubMed]

R. Santra, E. Arimondo, T. Ido, C. H. Greene, and J. Ye, Phys. Rev. Lett. 94, 173002 (2005).
[CrossRef] [PubMed]

J. C. Berengut, V. V. Flambaum, and M. G. Kozlov, Phys. Rev. A 72, 044501 (2005).
[CrossRef]

2004

S. G. Porsev and A. Derevianko, Phys. Rev. A 69, 042506 (2004).
[CrossRef]

2003

I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
[CrossRef]

H. Katori, M. Takamoto, V. G. Pal'chikov, and V. D. Ovsiannikov, Phys. Rev. Lett. 91, 173005 (2003).
[CrossRef] [PubMed]

2000

Y. Sortais, S. Bize, C. Nicolas, A. Clairon, C. Salomon, and C. Williams, Phys. Rev. Lett. 85, 3117 (2000).
[CrossRef] [PubMed]

C. Fertig and K. Gibble, Phys. Rev. Lett. 85, 1622 (2000).
[CrossRef] [PubMed]

1999

B. Young, F. Cruz, W. Itano, and J. C. Bergquist, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

H. Katori, T. Ido, Y. Isoya, and M. Kuwata-Gonokami, Phys. Rev. Lett. 82, 1116 (1999).
[CrossRef]

K. Vogel, T. Dinneen, A. Gallagher, and J. Hall, IEEE Trans. Microwave Theory Tech. 48, 618 (1999).

1993

K. Gibble and S. Chu, Phys. Rev. Lett. 70, 1771 (1993).
[CrossRef] [PubMed]

Arimondo, E.

T. Zanon-Willette, A. D. Ludlow, S. Blatt, M. M. Boyd, E. Arimondo, and J. Ye, Phys. Rev. Lett. 97, 233001 (2006).
[CrossRef]

R. Santra, E. Arimondo, T. Ido, C. H. Greene, and J. Ye, Phys. Rev. Lett. 94, 173002 (2005).
[CrossRef] [PubMed]

Baillard, X.

A. Brusch, R. Le Targat, X. Baillard, M. Fouché, and P. Lemonde, Phys. Rev. Lett. 96, 103003 (2006).
[CrossRef] [PubMed]

R. Le Targat, X. Baillard, M. Fouché, A. Brusch, O. Tcherbakoff, G. D. Rovera, and P. Lemonde, Phys. Rev. Lett. 97, 130801 (2006).
[CrossRef] [PubMed]

Band, Y. B.

Y. B. Band and A. Vardi, Phys. Rev. A 74, 033807 (2006).
[CrossRef]

Barber, Z. W.

Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev, and V. I. Yudin, Phys. Rev. Lett. 96, 083002 (2006).
[CrossRef] [PubMed]

A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber, and L. Hollberg, Phys. Rev. Lett. 96, 083001 (2006).
[CrossRef] [PubMed]

C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
[CrossRef]

Berengut, J. C.

J. C. Berengut, V. V. Flambaum, and M. G. Kozlov, Phys. Rev. A 72, 044501 (2005).
[CrossRef]

Bergquist, J. C.

B. Young, F. Cruz, W. Itano, and J. C. Bergquist, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

Bize, S.

Y. Sortais, S. Bize, C. Nicolas, A. Clairon, C. Salomon, and C. Williams, Phys. Rev. Lett. 85, 3117 (2000).
[CrossRef] [PubMed]

Blatt, S.

M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, and J. Ye, Phys. Rev. Lett. 98, 083002 (2007).
[CrossRef] [PubMed]

A. D. Ludlow, M. M. Boyd, T. Zelevinsky, S. M. Foreman, S. Blatt, M. Notcutt, T. Ido, and J. Ye, Phys. Rev. Lett. 96, 033003 (2006).
[CrossRef] [PubMed]

T. Zanon-Willette, A. D. Ludlow, S. Blatt, M. M. Boyd, E. Arimondo, and J. Ye, Phys. Rev. Lett. 97, 233001 (2006).
[CrossRef]

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

Boyd, M. M.

M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, and J. Ye, Phys. Rev. Lett. 98, 083002 (2007).
[CrossRef] [PubMed]

A. D. Ludlow, M. M. Boyd, T. Zelevinsky, S. M. Foreman, S. Blatt, M. Notcutt, T. Ido, and J. Ye, Phys. Rev. Lett. 96, 033003 (2006).
[CrossRef] [PubMed]

T. Zanon-Willette, A. D. Ludlow, S. Blatt, M. M. Boyd, E. Arimondo, and J. Ye, Phys. Rev. Lett. 97, 233001 (2006).
[CrossRef]

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

Brusch, A.

R. Le Targat, X. Baillard, M. Fouché, A. Brusch, O. Tcherbakoff, G. D. Rovera, and P. Lemonde, Phys. Rev. Lett. 97, 130801 (2006).
[CrossRef] [PubMed]

A. Brusch, R. Le Targat, X. Baillard, M. Fouché, and P. Lemonde, Phys. Rev. Lett. 96, 103003 (2006).
[CrossRef] [PubMed]

I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
[CrossRef]

Chu, S.

K. Gibble and S. Chu, Phys. Rev. Lett. 70, 1771 (1993).
[CrossRef] [PubMed]

Clairon, A.

Y. Sortais, S. Bize, C. Nicolas, A. Clairon, C. Salomon, and C. Williams, Phys. Rev. Lett. 85, 3117 (2000).
[CrossRef] [PubMed]

Coq, Y. L.

C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
[CrossRef]

Courtillot, I.

I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
[CrossRef]

Cramer, C.

T. Hong, C. Cramer, W. Nagourney, and E. N. Fortson, Phys. Rev. Lett. 94, 050801 (2005).
[CrossRef] [PubMed]

Cruz, F.

B. Young, F. Cruz, W. Itano, and J. C. Bergquist, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

Derevianko, A.

S. G. Porsev and A. Derevianko, Phys. Rev. A 74, 020502 (2006).
[CrossRef]

S. G. Porsev and A. Derevianko, Phys. Rev. A 69, 042506 (2004).
[CrossRef]

Diddams, S.

C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
[CrossRef]

Dinneen, T.

K. Vogel, T. Dinneen, A. Gallagher, and J. Hall, IEEE Trans. Microwave Theory Tech. 48, 618 (1999).

Fertig, C.

C. Fertig and K. Gibble, Phys. Rev. Lett. 85, 1622 (2000).
[CrossRef] [PubMed]

Flambaum, V. V.

J. C. Berengut, V. V. Flambaum, and M. G. Kozlov, Phys. Rev. A 72, 044501 (2005).
[CrossRef]

Foreman, S. M.

M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, and J. Ye, Phys. Rev. Lett. 98, 083002 (2007).
[CrossRef] [PubMed]

A. D. Ludlow, M. M. Boyd, T. Zelevinsky, S. M. Foreman, S. Blatt, M. Notcutt, T. Ido, and J. Ye, Phys. Rev. Lett. 96, 033003 (2006).
[CrossRef] [PubMed]

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

Fortier, T.

C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
[CrossRef]

Fortson, E. N.

T. Hong, C. Cramer, W. Nagourney, and E. N. Fortson, Phys. Rev. Lett. 94, 050801 (2005).
[CrossRef] [PubMed]

Fouché, M.

A. Brusch, R. Le Targat, X. Baillard, M. Fouché, and P. Lemonde, Phys. Rev. Lett. 96, 103003 (2006).
[CrossRef] [PubMed]

R. Le Targat, X. Baillard, M. Fouché, A. Brusch, O. Tcherbakoff, G. D. Rovera, and P. Lemonde, Phys. Rev. Lett. 97, 130801 (2006).
[CrossRef] [PubMed]

Fujii, Y.

M. Takamoto, F.-L. Hong, R. Higashi, Y. Fujii, M. Imae, and H. Katori, J. Phys. Soc. Jpn. 75, 104302 (2006).
[CrossRef]

Gallagher, A.

K. Vogel, T. Dinneen, A. Gallagher, and J. Hall, IEEE Trans. Microwave Theory Tech. 48, 618 (1999).

Gibble, K.

C. Fertig and K. Gibble, Phys. Rev. Lett. 85, 1622 (2000).
[CrossRef] [PubMed]

K. Gibble and S. Chu, Phys. Rev. Lett. 70, 1771 (1993).
[CrossRef] [PubMed]

Greene, C. H.

R. Santra, E. Arimondo, T. Ido, C. H. Greene, and J. Ye, Phys. Rev. Lett. 94, 173002 (2005).
[CrossRef] [PubMed]

Hall, J.

K. Vogel, T. Dinneen, A. Gallagher, and J. Hall, IEEE Trans. Microwave Theory Tech. 48, 618 (1999).

Higashi, R.

M. Takamoto, F.-L. Hong, R. Higashi, Y. Fujii, M. Imae, and H. Katori, J. Phys. Soc. Jpn. 75, 104302 (2006).
[CrossRef]

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, Nature 435, 321 (2005).
[CrossRef] [PubMed]

Hollberg, L.

Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev, and V. I. Yudin, Phys. Rev. Lett. 96, 083002 (2006).
[CrossRef] [PubMed]

A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber, and L. Hollberg, Phys. Rev. Lett. 96, 083001 (2006).
[CrossRef] [PubMed]

C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
[CrossRef]

Hong, F.-L.

M. Takamoto, F.-L. Hong, R. Higashi, Y. Fujii, M. Imae, and H. Katori, J. Phys. Soc. Jpn. 75, 104302 (2006).
[CrossRef]

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, Nature 435, 321 (2005).
[CrossRef] [PubMed]

Hong, T.

T. Hong, C. Cramer, W. Nagourney, and E. N. Fortson, Phys. Rev. Lett. 94, 050801 (2005).
[CrossRef] [PubMed]

Hoyt, C. W.

C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
[CrossRef]

Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev, and V. I. Yudin, Phys. Rev. Lett. 96, 083002 (2006).
[CrossRef] [PubMed]

A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber, and L. Hollberg, Phys. Rev. Lett. 96, 083001 (2006).
[CrossRef] [PubMed]

Ido, T.

M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, and J. Ye, Phys. Rev. Lett. 98, 083002 (2007).
[CrossRef] [PubMed]

A. D. Ludlow, M. M. Boyd, T. Zelevinsky, S. M. Foreman, S. Blatt, M. Notcutt, T. Ido, and J. Ye, Phys. Rev. Lett. 96, 033003 (2006).
[CrossRef] [PubMed]

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

R. Santra, E. Arimondo, T. Ido, C. H. Greene, and J. Ye, Phys. Rev. Lett. 94, 173002 (2005).
[CrossRef] [PubMed]

H. Katori, T. Ido, Y. Isoya, and M. Kuwata-Gonokami, Phys. Rev. Lett. 82, 1116 (1999).
[CrossRef]

Imae, M.

M. Takamoto, F.-L. Hong, R. Higashi, Y. Fujii, M. Imae, and H. Katori, J. Phys. Soc. Jpn. 75, 104302 (2006).
[CrossRef]

Isoya, Y.

H. Katori, T. Ido, Y. Isoya, and M. Kuwata-Gonokami, Phys. Rev. Lett. 82, 1116 (1999).
[CrossRef]

Itano, W.

B. Young, F. Cruz, W. Itano, and J. C. Bergquist, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

Katori, H.

V. D. Ovsiannikov, V. G. Pal'chikov, A. V. Taichenachev, V. I. Yudin, H. Katori, and M. Takamoto, Phys. Rev. A 75, 020501 (2007).
[CrossRef]

M. Takamoto, F.-L. Hong, R. Higashi, Y. Fujii, M. Imae, and H. Katori, J. Phys. Soc. Jpn. 75, 104302 (2006).
[CrossRef]

V. Ovsiannikov, V. Pal'chikov, H. Katori, and M. Takamoto, Quantum Electron. 36, 3 (2006).
[CrossRef]

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, Nature 435, 321 (2005).
[CrossRef] [PubMed]

H. Katori, M. Takamoto, V. G. Pal'chikov, and V. D. Ovsiannikov, Phys. Rev. Lett. 91, 173005 (2003).
[CrossRef] [PubMed]

H. Katori, T. Ido, Y. Isoya, and M. Kuwata-Gonokami, Phys. Rev. Lett. 82, 1116 (1999).
[CrossRef]

Kolker, D.

I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
[CrossRef]

Kovacich, R. P.

I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
[CrossRef]

Kozlov, M. G.

J. C. Berengut, V. V. Flambaum, and M. G. Kozlov, Phys. Rev. A 72, 044501 (2005).
[CrossRef]

Kuwata-Gonokami, M.

H. Katori, T. Ido, Y. Isoya, and M. Kuwata-Gonokami, Phys. Rev. Lett. 82, 1116 (1999).
[CrossRef]

Le Targat, R.

R. Le Targat, X. Baillard, M. Fouché, A. Brusch, O. Tcherbakoff, G. D. Rovera, and P. Lemonde, Phys. Rev. Lett. 97, 130801 (2006).
[CrossRef] [PubMed]

A. Brusch, R. Le Targat, X. Baillard, M. Fouché, and P. Lemonde, Phys. Rev. Lett. 96, 103003 (2006).
[CrossRef] [PubMed]

Lemonde, P.

A. Brusch, R. Le Targat, X. Baillard, M. Fouché, and P. Lemonde, Phys. Rev. Lett. 96, 103003 (2006).
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C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
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V. Ovsiannikov, V. Pal'chikov, H. Katori, and M. Takamoto, Quantum Electron. 36, 3 (2006).
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V. D. Ovsiannikov, V. G. Pal'chikov, A. V. Taichenachev, V. I. Yudin, H. Katori, and M. Takamoto, Phys. Rev. A 75, 020501 (2007).
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V. Ovsiannikov, V. Pal'chikov, H. Katori, and M. Takamoto, Quantum Electron. 36, 3 (2006).
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V. D. Ovsiannikov, V. G. Pal'chikov, A. V. Taichenachev, V. I. Yudin, H. Katori, and M. Takamoto, Phys. Rev. A 75, 020501 (2007).
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S. G. Porsev and A. Derevianko, Phys. Rev. A 74, 020502 (2006).
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I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
[CrossRef]

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R. Le Targat, X. Baillard, M. Fouché, A. Brusch, O. Tcherbakoff, G. D. Rovera, and P. Lemonde, Phys. Rev. Lett. 97, 130801 (2006).
[CrossRef] [PubMed]

I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
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Y. Sortais, S. Bize, C. Nicolas, A. Clairon, C. Salomon, and C. Williams, Phys. Rev. Lett. 85, 3117 (2000).
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R. Santra, E. Arimondo, T. Ido, C. H. Greene, and J. Ye, Phys. Rev. Lett. 94, 173002 (2005).
[CrossRef] [PubMed]

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Y. Sortais, S. Bize, C. Nicolas, A. Clairon, C. Salomon, and C. Williams, Phys. Rev. Lett. 85, 3117 (2000).
[CrossRef] [PubMed]

Stalnaker, J.

C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
[CrossRef]

Taichenachev, A. V.

V. D. Ovsiannikov, V. G. Pal'chikov, A. V. Taichenachev, V. I. Yudin, H. Katori, and M. Takamoto, Phys. Rev. A 75, 020501 (2007).
[CrossRef]

A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber, and L. Hollberg, Phys. Rev. Lett. 96, 083001 (2006).
[CrossRef] [PubMed]

Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev, and V. I. Yudin, Phys. Rev. Lett. 96, 083002 (2006).
[CrossRef] [PubMed]

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V. D. Ovsiannikov, V. G. Pal'chikov, A. V. Taichenachev, V. I. Yudin, H. Katori, and M. Takamoto, Phys. Rev. A 75, 020501 (2007).
[CrossRef]

V. Ovsiannikov, V. Pal'chikov, H. Katori, and M. Takamoto, Quantum Electron. 36, 3 (2006).
[CrossRef]

M. Takamoto, F.-L. Hong, R. Higashi, Y. Fujii, M. Imae, and H. Katori, J. Phys. Soc. Jpn. 75, 104302 (2006).
[CrossRef]

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, Nature 435, 321 (2005).
[CrossRef] [PubMed]

H. Katori, M. Takamoto, V. G. Pal'chikov, and V. D. Ovsiannikov, Phys. Rev. Lett. 91, 173005 (2003).
[CrossRef] [PubMed]

Tcherbakoff, O.

R. Le Targat, X. Baillard, M. Fouché, A. Brusch, O. Tcherbakoff, G. D. Rovera, and P. Lemonde, Phys. Rev. Lett. 97, 130801 (2006).
[CrossRef] [PubMed]

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Y. B. Band and A. Vardi, Phys. Rev. A 74, 033807 (2006).
[CrossRef]

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K. Vogel, T. Dinneen, A. Gallagher, and J. Hall, IEEE Trans. Microwave Theory Tech. 48, 618 (1999).

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Y. Sortais, S. Bize, C. Nicolas, A. Clairon, C. Salomon, and C. Williams, Phys. Rev. Lett. 85, 3117 (2000).
[CrossRef] [PubMed]

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P. Lemonde and P. Wolf, Phys. Rev. A 72, 033409 (2005).
[CrossRef]

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M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, and J. Ye, Phys. Rev. Lett. 98, 083002 (2007).
[CrossRef] [PubMed]

A. D. Ludlow, M. M. Boyd, T. Zelevinsky, S. M. Foreman, S. Blatt, M. Notcutt, T. Ido, and J. Ye, Phys. Rev. Lett. 96, 033003 (2006).
[CrossRef] [PubMed]

T. Zanon-Willette, A. D. Ludlow, S. Blatt, M. M. Boyd, E. Arimondo, and J. Ye, Phys. Rev. Lett. 97, 233001 (2006).
[CrossRef]

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

R. Santra, E. Arimondo, T. Ido, C. H. Greene, and J. Ye, Phys. Rev. Lett. 94, 173002 (2005).
[CrossRef] [PubMed]

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B. Young, F. Cruz, W. Itano, and J. C. Bergquist, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

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V. D. Ovsiannikov, V. G. Pal'chikov, A. V. Taichenachev, V. I. Yudin, H. Katori, and M. Takamoto, Phys. Rev. A 75, 020501 (2007).
[CrossRef]

Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev, and V. I. Yudin, Phys. Rev. Lett. 96, 083002 (2006).
[CrossRef] [PubMed]

A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber, and L. Hollberg, Phys. Rev. Lett. 96, 083001 (2006).
[CrossRef] [PubMed]

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T. Zanon-Willette, A. D. Ludlow, S. Blatt, M. M. Boyd, E. Arimondo, and J. Ye, Phys. Rev. Lett. 97, 233001 (2006).
[CrossRef]

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M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, and J. Ye, Phys. Rev. Lett. 98, 083002 (2007).
[CrossRef] [PubMed]

A. D. Ludlow, M. M. Boyd, T. Zelevinsky, S. M. Foreman, S. Blatt, M. Notcutt, T. Ido, and J. Ye, Phys. Rev. Lett. 96, 033003 (2006).
[CrossRef] [PubMed]

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

Zondy, J.-J.

I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
[CrossRef]

IEEE Trans. Microwave Theory Tech.

K. Vogel, T. Dinneen, A. Gallagher, and J. Hall, IEEE Trans. Microwave Theory Tech. 48, 618 (1999).

J. Phys. Soc. Jpn.

M. Takamoto, F.-L. Hong, R. Higashi, Y. Fujii, M. Imae, and H. Katori, J. Phys. Soc. Jpn. 75, 104302 (2006).
[CrossRef]

Nature

M. Takamoto, F.-L. Hong, R. Higashi, and H. Katori, Nature 435, 321 (2005).
[CrossRef] [PubMed]

Phys. Rev. A

P. Lemonde and P. Wolf, Phys. Rev. A 72, 033409 (2005).
[CrossRef]

I. Courtillot, A. Quessada, R. P. Kovacich, A. Brusch, D. Kolker, J.-J. Zondy, G. D. Rovera, and P. Lemonde, Phys. Rev. A 68, 030501 (2003).
[CrossRef]

S. G. Porsev and A. Derevianko, Phys. Rev. A 69, 042506 (2004).
[CrossRef]

V. D. Ovsiannikov, V. G. Pal'chikov, A. V. Taichenachev, V. I. Yudin, H. Katori, and M. Takamoto, Phys. Rev. A 75, 020501 (2007).
[CrossRef]

J. C. Berengut, V. V. Flambaum, and M. G. Kozlov, Phys. Rev. A 72, 044501 (2005).
[CrossRef]

Y. B. Band and A. Vardi, Phys. Rev. A 74, 033807 (2006).
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S. G. Porsev and A. Derevianko, Phys. Rev. A 74, 020502 (2006).
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K. Gibble and S. Chu, Phys. Rev. Lett. 70, 1771 (1993).
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C. Fertig and K. Gibble, Phys. Rev. Lett. 85, 1622 (2000).
[CrossRef] [PubMed]

B. Young, F. Cruz, W. Itano, and J. C. Bergquist, Phys. Rev. Lett. 82, 3799 (1999).
[CrossRef]

A. D. Ludlow, M. M. Boyd, T. Zelevinsky, S. M. Foreman, S. Blatt, M. Notcutt, T. Ido, and J. Ye, Phys. Rev. Lett. 96, 033003 (2006).
[CrossRef] [PubMed]

H. Katori, T. Ido, Y. Isoya, and M. Kuwata-Gonokami, Phys. Rev. Lett. 82, 1116 (1999).
[CrossRef]

M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, and J. Ye, Phys. Rev. Lett. 98, 083002 (2007).
[CrossRef] [PubMed]

T. Hong, C. Cramer, W. Nagourney, and E. N. Fortson, Phys. Rev. Lett. 94, 050801 (2005).
[CrossRef] [PubMed]

R. Santra, E. Arimondo, T. Ido, C. H. Greene, and J. Ye, Phys. Rev. Lett. 94, 173002 (2005).
[CrossRef] [PubMed]

A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber, and L. Hollberg, Phys. Rev. Lett. 96, 083001 (2006).
[CrossRef] [PubMed]

T. Zanon-Willette, A. D. Ludlow, S. Blatt, M. M. Boyd, E. Arimondo, and J. Ye, Phys. Rev. Lett. 97, 233001 (2006).
[CrossRef]

H. Katori, M. Takamoto, V. G. Pal'chikov, and V. D. Ovsiannikov, Phys. Rev. Lett. 91, 173005 (2003).
[CrossRef] [PubMed]

A. Brusch, R. Le Targat, X. Baillard, M. Fouché, and P. Lemonde, Phys. Rev. Lett. 96, 103003 (2006).
[CrossRef] [PubMed]

Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev, and V. I. Yudin, Phys. Rev. Lett. 96, 083002 (2006).
[CrossRef] [PubMed]

R. Le Targat, X. Baillard, M. Fouché, A. Brusch, O. Tcherbakoff, G. D. Rovera, and P. Lemonde, Phys. Rev. Lett. 97, 130801 (2006).
[CrossRef] [PubMed]

Quantum Electron.

V. Ovsiannikov, V. Pal'chikov, H. Katori, and M. Takamoto, Quantum Electron. 36, 3 (2006).
[CrossRef]

Science

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

Other

C. W. Oates, C. W. Hoyt, Y. L. Coq, Z. W. Barber, T. Fortier, J. Stalnaker, S. Diddams, and L. Hollberg, in 2006 IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 74-79.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Dependence of the clock frequency on the static magnetic field. All the points have been corrected for the light shift. The line is a fit to the experimental data with an adjustable offset, the slope being fixed to the theoretical value of Ref. [16]: ∎, I I 0 = 1 ; ▴, I I 0 = 0.83 ; ⋆, I I 0 = 0.4 .

Fig. 2
Fig. 2

Light shift due to the interrogation laser for different values of the magnetic field. ∎, 1.68 mT ; ▴, 1.4 mT ; ⋆, 1.12 mT . I 0 6 W cm 2 corresponds to the clock laser intensity under standard operating conditions. All the points have been corrected for the quadratic Zeeman shift. The line is a linear fit to the data.

Fig. 3
Fig. 3

Experimental observation of the Rabi oscillations for B = 1.68 mT at maximum intensity I 0 6 W cm 2 . The curve is a fit corresponding to classical Rabi oscillations attenuated by an exponential decay. The frequency of the oscillations is 16 ( 1 ) Hz , and the time constant of the decay is about 100 ms , which corresponds to the coherence time of the interrogation laser.

Fig. 4
Fig. 4

Clock frequency versus atomic density. All the points have been corrected for the Zeeman and the light shifts. The line is a linear fit to the data. We have n 0 = 2.5 × 10 11 at cm 3 .

Tables (1)

Tables Icon

Table 1 Uncertainty Budget a

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