Abstract

We demonstrate a technique for frequency measurements of atomic transitions with a precision of 30 kHz. The frequency is measured with a ring-cavity resonator whose length is calibrated against a reference laser locked to the D2 line of  87Rb, the frequency of which is known with 10-kHz accuracy. We have used this method to measure the hyperfine structure in the 5P3/2 state of  85Rb. We obtain precise values for the hyperfine constants, A=25.0416 MHz and B=26.01325 MHz, and a value of 77.992(20) MHz for the isotope shift in the D2 line.

© 2003 Optical Society of America

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  1. T. Udem, J. Reichert, R. Holzwarth, and T. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
    [CrossRef]
  2. D. S. Weiss, B. C. Young, andS. Chu, Phys. Rev. Lett. 70, 2706 (1993).
    [CrossRef] [PubMed]
  3. C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
    [CrossRef] [PubMed]
  4. J. Ye, S. Swartz, P. Jungner, and J. L. Hall, Opt. Lett. 21, 1280 (1996).
    [CrossRef] [PubMed]
  5. E. Arimondo, M. Inguscio, and P. Violino, Rev. Mod. Phys. 49, 31 (1977).
    [CrossRef]
  6. G. P. Barwood, P. Gill, and W. R. C. Rowley, Appl. Phys. B 53, 142 (1991).
    [CrossRef]
  7. A. Banerjee, U. D. Rapol, A. Wasan, and V. Natarajan, Appl. Phys. Lett. 79, 2139 (2001).
    [CrossRef]
  8. K. P. Birch and M. J. Downs, Metrologia 30, 155 (1993).
    [CrossRef]
  9. K. P. Birch and M. J. Downs, Metrologia 31, 315 (1993).
    [CrossRef]

2001 (1)

A. Banerjee, U. D. Rapol, A. Wasan, and V. Natarajan, Appl. Phys. Lett. 79, 2139 (2001).
[CrossRef]

1999 (1)

T. Udem, J. Reichert, R. Holzwarth, and T. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

1997 (1)

C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
[CrossRef] [PubMed]

1996 (1)

1993 (3)

K. P. Birch and M. J. Downs, Metrologia 30, 155 (1993).
[CrossRef]

K. P. Birch and M. J. Downs, Metrologia 31, 315 (1993).
[CrossRef]

D. S. Weiss, B. C. Young, andS. Chu, Phys. Rev. Lett. 70, 2706 (1993).
[CrossRef] [PubMed]

1991 (1)

G. P. Barwood, P. Gill, and W. R. C. Rowley, Appl. Phys. B 53, 142 (1991).
[CrossRef]

1977 (1)

E. Arimondo, M. Inguscio, and P. Violino, Rev. Mod. Phys. 49, 31 (1977).
[CrossRef]

Arimondo, E.

E. Arimondo, M. Inguscio, and P. Violino, Rev. Mod. Phys. 49, 31 (1977).
[CrossRef]

Banerjee, A.

A. Banerjee, U. D. Rapol, A. Wasan, and V. Natarajan, Appl. Phys. Lett. 79, 2139 (2001).
[CrossRef]

Barwood, G. P.

G. P. Barwood, P. Gill, and W. R. C. Rowley, Appl. Phys. B 53, 142 (1991).
[CrossRef]

Bennett, S. C.

C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
[CrossRef] [PubMed]

Birch, K. P.

K. P. Birch and M. J. Downs, Metrologia 30, 155 (1993).
[CrossRef]

K. P. Birch and M. J. Downs, Metrologia 31, 315 (1993).
[CrossRef]

Cho, D.

C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
[CrossRef] [PubMed]

Chu, S.

D. S. Weiss, B. C. Young, andS. Chu, Phys. Rev. Lett. 70, 2706 (1993).
[CrossRef] [PubMed]

Downs, M. J.

K. P. Birch and M. J. Downs, Metrologia 31, 315 (1993).
[CrossRef]

K. P. Birch and M. J. Downs, Metrologia 30, 155 (1993).
[CrossRef]

Gill, P.

G. P. Barwood, P. Gill, and W. R. C. Rowley, Appl. Phys. B 53, 142 (1991).
[CrossRef]

Hall, J. L.

Hänsch, T.

T. Udem, J. Reichert, R. Holzwarth, and T. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

Holzwarth, R.

T. Udem, J. Reichert, R. Holzwarth, and T. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

Inguscio, M.

E. Arimondo, M. Inguscio, and P. Violino, Rev. Mod. Phys. 49, 31 (1977).
[CrossRef]

Jungner, P.

Masterson, B. P.

C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
[CrossRef] [PubMed]

Natarajan, V.

A. Banerjee, U. D. Rapol, A. Wasan, and V. Natarajan, Appl. Phys. Lett. 79, 2139 (2001).
[CrossRef]

Rapol, U. D.

A. Banerjee, U. D. Rapol, A. Wasan, and V. Natarajan, Appl. Phys. Lett. 79, 2139 (2001).
[CrossRef]

Reichert, J.

T. Udem, J. Reichert, R. Holzwarth, and T. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

Roberts, J. L.

C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
[CrossRef] [PubMed]

Rowley, W. R. C.

G. P. Barwood, P. Gill, and W. R. C. Rowley, Appl. Phys. B 53, 142 (1991).
[CrossRef]

Swartz, S.

Tanner, C. E.

C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
[CrossRef] [PubMed]

Udem, T.

T. Udem, J. Reichert, R. Holzwarth, and T. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

Violino, P.

E. Arimondo, M. Inguscio, and P. Violino, Rev. Mod. Phys. 49, 31 (1977).
[CrossRef]

Wasan, A.

A. Banerjee, U. D. Rapol, A. Wasan, and V. Natarajan, Appl. Phys. Lett. 79, 2139 (2001).
[CrossRef]

Weiss, D. S.

D. S. Weiss, B. C. Young, andS. Chu, Phys. Rev. Lett. 70, 2706 (1993).
[CrossRef] [PubMed]

Wieman, C. E.

C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
[CrossRef] [PubMed]

Wood, C. S.

C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
[CrossRef] [PubMed]

Ye, J.

Young, B. C.

D. S. Weiss, B. C. Young, andS. Chu, Phys. Rev. Lett. 70, 2706 (1993).
[CrossRef] [PubMed]

Appl. Phys. B (1)

G. P. Barwood, P. Gill, and W. R. C. Rowley, Appl. Phys. B 53, 142 (1991).
[CrossRef]

Appl. Phys. Lett. (1)

A. Banerjee, U. D. Rapol, A. Wasan, and V. Natarajan, Appl. Phys. Lett. 79, 2139 (2001).
[CrossRef]

Metrologia (2)

K. P. Birch and M. J. Downs, Metrologia 30, 155 (1993).
[CrossRef]

K. P. Birch and M. J. Downs, Metrologia 31, 315 (1993).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. Lett. (2)

T. Udem, J. Reichert, R. Holzwarth, and T. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

D. S. Weiss, B. C. Young, andS. Chu, Phys. Rev. Lett. 70, 2706 (1993).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

E. Arimondo, M. Inguscio, and P. Violino, Rev. Mod. Phys. 49, 31 (1977).
[CrossRef]

Science (1)

C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Schematic of the experiment. PZTs, piezoelectric transducers; vco, voltage-controlled oscillator; Err sig, error signal; LIA, lock-in amplifier; Mod, modulator; Demod, demodulator; sat abs, saturated absorption; BSs, beam splitters; PD, photodiode; M, mirror. Other abbreviations defined in text.

Fig. 2
Fig. 2

Cavity fsr determined using two lock points for the reference laser: (a) F=2F=2,3, (b) F=1F=1,2. The cavity mode number in (b) increases by exactly 5.

Fig. 3
Fig. 3

Hyperfine-structure in the 5P3/2 state of  85Rb. In (a), we compare the measured and calculated values of the hyperfine intervals. In (b), we compare our A and B values with the earlier values reported by Arimondo et al.5 and Barwood et al.6

Tables (1)

Tables Icon

Table 1 Measured Frequencies of Various Hyperfine Transitions in the D2 Line of Rb85

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