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Colloquium: Comparison of astrophysical and terrestrial frequency standards
Rev. Mod. Phys. 83, 1 – Published 7 January, 2011
DOI: https://doi.org/10.1103/RevModPhys.83.1
Abstract
The stability of pulse arrival times from pulsars and white dwarfs have been reanalyzed using several analysis tools for measuring the noise characteristics of sampled time and frequency data. The best terrestrial artificial clocks are shown to substantially exceed the performance of astronomical sources as timekeepers in terms of accuracy (as defined by cesium primary frequency standards) and stability. This superiority in stability can be directly demonstrated over time periods up to 2 years, where there is high quality data for both. Beyond 2 years there is a deficiency of data for clock-to-clock comparisons, and both terrestrial and astronomical clocks show equal performance being equally limited by the quality of the reference time scales used to make the comparisons. Nonetheless, the detailed accuracy evaluations of modern terrestrial clocks imply that these new clocks are likely to have a stability better than any astronomical source up to comparison times of at least hundreds of years. This article is intended to provide a correct appreciation of the relative merits of natural and artificial clocks. The use of natural clocks as tests of physics under the most extreme conditions is entirely appropriate; however, the contention that these natural clocks, particularly white dwarfs, can compete as timekeepers against devices constructed by mankind is shown to be doubtful.
Article Text
References (63)
- Akatsuka, T., M. Takamoto, and H. Katori, 2008, Nature Phys. 4, 954.
- Allan, D. W., 1966, Proc. IEEE 54, 221.
- Allan, D. W., 1987, in Proceedings of the 41st Annual Symposium on Frequency Control (IEEE Publishing Services, New York), p. 2, http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1537934.
- Allan, D. W., M. A. Weiss, and T. K. Peppler, 1989, IEEE Trans. Instrum. Meas. IM-38, 624.
- Barnes, J., A. Chi, L. Cutler, D. Healey, D. Leeson, T. McGunigal, J. Mullen, W. Smith, R. Sydnor, R. Vessot, and G. Winkler, 1971, IEEE Trans. Instrum. Meas. IM-20, 105.
- Breton, R. P., V. M. Kaspi, M. Kramer, M. A. McLaughlin, M. Lyutikov, S. M. Ransom, I. H. Stairs, R. D. Ferdman, F. Camilo, and A. Possenti, 2008, Science 321, 104.
- Bronnikov, K. A., and V. N. Mel’nikov, 1989, Izmer. Tekh. 1, 29 [Meas. Tech. 32, 46 (1989)].
- Campbell, G. K., A. D. Ludlow, S. Blatt, J. W. Thomsen, M. J. Martin, M. H. G. de Miranda, T. Zelevinsky, M. M. Boyd, Jun Ye, S. A. Diddams, T. P. Heavner, T. E. Parker, and S. R. Jefferts, 2008, Metrologia 45, 539.
- C.C.I.R., 1986, International Radio Consultative Committee Report 580, pp. 142–150.
- Chapelet, F., J. Guéna, G. D. Rovera, P. Laurent, P. Rosenbush, G. Santarelli, S. Bize, and A. Clairon, 2007, in Proceedings of the Joint 21st EFTF and IEEE Frequency Control Symposium, Geneva, Switzerland, p. 467.
- Cordes, J. M., and G. S. Downs, 1985, Astrophys. J. Suppl. Ser. 59, 343.
- Daussy, C., O. Lopez, A. Amy-Klein, A. Goncharov, M. Guinet, C. Chardonnet, F. Narbonneau, M. Lours, D. Chambon, S. Bize, A. Clairon, G. Santarelli, M. E. Tobar, and A. N. Luiten, 2005, Phys. Rev. Lett. 94, 203904.
- Dawkins, S. T., J. J. McFerran, and A. N. Luiten, 2007, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 54, 918.
- Fischer, M., N. Kolachevsky, M. Zimmermann, R. Holzwarth, T. Udem, T. W. Hänsch, M. Abgrall, J. Grünert, I. Maksimovic, S. Bize, H. Marion, F. P. Dos Santos, P. Lemonde, G. Santarelli, P. Laurent, A. Clairon, C. Salomon, M. Haas, U. D. Jentschura, and C. H. Keitel, 2004, Phys. Rev. Lett. 92, 230802.
- Flambaum, V. V., 2007, Int. J. Mod. Phys. A 22, 4937.
- Flambaum, V. V., and M. G. Kozlov, 2007, Phys. Rev. Lett. 99, 150801.
- Fortier, T. M., N. Ashby, J. C. Bergquist, M. J. Delaney, S. A. Diddams, T. P. Heavner, L. Hollberg, W. M. Itano, S. R. Jefferts, K. Kim, F. Levi, L. Lorini, W. H. Oskay, T. E. Parker, J. Shirley, and J. E. Stalnaker, 2007, Phys. Rev. Lett. 98, 070801.
- Guéna, J., F. Chapelet, P. Rosenbusch, P. Laurent, M. Abgrall, G. D. Rovera, G. Santarelli, S. Bize, A. Clairon, and M. E. Tobar, 2008, in Proceedings of the 2008 IEEE International Frequency Control Symposium (IEEE, New York), p. 366.
- Hama, S., M. Imae, H. Kiuchi, H. Takaba, and F. Takahashi, 1989, in Proceedings of the 21st Annual Precise Time and Time Interval (PTTI) Applications and Planning Meeting, Vol. 21, p. 289, http://www.pttimeeting.org/archivemeetings/1989papers/Vol 21_27.pdf.
- Hartnett, J. G., C. R. Locke, E. N. Ivanov, M. E. Tobar, and P. L. Stanwix, 2006, Appl. Phys. Lett. 89, 203513.
- Hotan, A. W., M. Bailes, and S. M. Ord, 2006, Mon. Not. R. Astron. Soc. 369, 1502.
- Il’in, V. G., Y. P. Ilyasov, A. D. Kuz’min, S. B. Pushkin, Y. P. Shitov, and T. V. Shabanova, 1989, Izmer. Tekh. 4, 25 [Meas. Tech. 32, 323 (1989)].
- Jacoby, B. A., 2005, Ph.D. thesis (CalTech, Pasadena, CA).
- Jefferts, S. R., T. P. Heavner, T. E. Parker, and J. H. Shirley, 2007, Proc. SPIE Int. Soc. Opt. Eng. 6673, 667309, available at http://tf.nist.gov/timefreq/general/pdf/2254.pdf.
- Karastergiou, A., and S. Johnston, 2007, Mon. Not. R. Astron. Soc. 380, 1678.
- Kéfélian, F., O. Lopez, H. Jiang, C. Chardonnet, A. Amy-Klein, and G. Santarelli, 2009, Opt. Lett. 34, 1573.
- Kepler, S. O., J. E. S. Costa, B. G. Castanheira, D. E. Winget, F. Mullally, R. E. Nather, M. Kilic, T. von Hippel, A. S. Mukadam, and D. J. Sullivan, 2005, Astrophys. J. 634, 1311.
- Kramer, M., I. H. Stairs, R. N. Manchester, M. A. McLaughlin, A. G. Lyne, R. D. Ferdman, M. Burgay, D. R. Lorimer, A. Possenti, N. D‘Amico, J. M. Sarkissian, G. B. Hobbs, J. E. Reynolds, P. C. C. Freire, and F. Camilo, 2006, Science 314, 97.
- Lattimer, J. M., and M. Prakash, 2004, Science 304, 536.
- Lemke, N. D., A. D. Ludlow, Z. W. Barber, T. M. Fortier, S. A. Diddams, Y. Jiang, S. R. Jefferts, T. P. Heavner, T. E. Parker, and C. W. Oates, 2009, Phys. Rev. Lett. 103, 063001.
- Ludlow, A. D., T. Zelevinsky, G. K. Campbell, S. Blatt, M. M. Boyd, M. H. G. de Miranda, M. J. Martin, J. W. Thomsen, S. M. Foreman, Jun Ye, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, Y. Le Coq, Z. W. Barber, N. Poli, N. D. Lemke, K. M. Beck, and C. W. Oates, 2008, Science 319, 1805.
- Lyne, A. G., M. Burgay, M. Kramer, A. Possenti, R. N. Manchester, F. Camilo, M. A. McLaughlin, D. R. Lorimer, N. D‘Amico, B. C. Joshi, J. Reynolds, and P. C. C. Freire, 2004, Science 303, 1153.
- Lyne, A. G., and F. Graham-Smith, 2006, Pulsar Astronomy, 3rd ed. (Cambridge University Press, Cambridge, England) pp. 62, 63.
- Manchester, R. N., 2004, Science 304, 542.
- Matsakis, D. N., and R. S. Foster, 1996, in Amazing Light, edited by R. Y. Chiao (Springer Verlag, Berlin).
- Matsakis, D. N., and F. J. Josties, 1996, in Proceedings of the 28th Annual Precise Time and Time Interval (PTTI) Applications and Planning Meeting, Vol. 28, p. 225, http://www.pttimeeting.org/archivemeetings/1996papers/Vol 28_19.pdf.
- Matsakis, D. N., J. H. Taylor, and T. M. Eubanks, 1997, Astron. Astrophys. 326, 924.
- Mukadam, A. S., S. O. Kepler, D. E. Winget, R. E. Nather, M. Kilic, F. Mullally, T. von Hippel, S. J. Kleinman, A. Nitta, J. A. Guzik, P. A. Bradley, J. Matthews, K. Sekiguchi, D. J. Sullivan, T. Sullivan, R. R. Shobbrook, P. Birch, X. J. Jiang, D. W. Xu, S. Joshi, B. N. Ashoka, P. Ibbetson, E. Leibowitz, E. O. Ofek, E. G. Meistas, R. Janulis, D. Alisauskas, R. Kalytis, G. Handler, D. Kilkenny, D. O’Donoghue, D. W. Kurtz, M. Muller, P. Moskalik, W. Ogloza, S. Zola, J. Krzesinski, F. Johannessen, J. M. Gonzalez-Perez, J-E. Solheim, R. Silvotti, S. Bernabei, G. Vauclair, N. Dolez, J. N. Fu, M. Chevreton, M. Manteiga, O. Suarez, A. Ulla, M. S. Cunha, T. S. Metcalfe, A. Kanaan, L. Fraga, A. F. M. Costa, O. Giovannini, G. Fontaine, P. Bergeron, M. S. O. O’Brien, D. Sanwal, M. A. Wood, T. J. Ahrens, N. Silvestri, E. W. Klumpe, S. D. Kawaler, R. Riddle, M. D. Reed, and T. K. Watson, 2003, Astrophys. J. 594, 961.
- Oates, C., 2008, Nature Phys. 4, 910
- Parker, T., personal communication on 15 May 2009
- Parker, T., email communication on 9 February 2010.
- Parker, T. E., 2010, Metrologia 47, 1 (Fig. 3 therein for time series data).
- Peik, E., B. Lipphardt, H. Schnatz, T. Schneider, C. Tamm, and S. G. Karshenboim, 2004, Phys. Rev. Lett. 93, 170801.
- Petit, G., 2003, in Proceedings of the 35th Annual Precise Time and Time Interval (PTTI) Meeting, Vol. 35, p. 307, www.pttimeeting.org/archivemeetings/2003papers/paper29.pdf.
- Petit, G., 2010, Talk entitled “Millisecond pulsars to transfer the accuracy of atomic time,” European Frequency and Time Forum, Noordwijk, Netherlands, 13–16 April 2010.
- Petit, G., and P. Tavella, 1996, Astron. Astrophys. 308, 290.
- Rawley, L. A., J. H. Taylor, M. M. Davis, and D. W. Allan, 1987, Science 238, 761.
- Riehle, F., 2004, Frequency Standards: Basics and Applications (Wiley-VCH Verlag GmbH Co., Weinheim), pp. 419–420.
- Rosenband, T., D. B. Hume, P. O. Schmidt, C. W. Chou, A. Brusch, L. Lorini, W. H. Oskay, R. E. Drullinger, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, W. C. Swann, N. R. Newbury, W. M. Itano, D. J. Wineland, and J. C. Bergquist, 2008, Science, 319, 1808.
- Roy, J., T. L. Venkatasubramani, and B. C. Joshi, 2005, in Proceedings of the XXVIIIth URSI General Assembly, New Delhi, India, http://www.ursi.org/Proceedings/ProcGA05/pdf/A06.2(01130).pdf.
- Rutman, J., 1978, Proc. IEEE 66, 1048.
- Sazhin, M. V., 1989, Izmer. Tekh. 1, 27 [Meas. Tech. 32, 42 (1989)].
- Stairs, I. H., 2004, Science 304, 547.
- Sullivan, D. B., D. W. Allan, D. A. Howe, and F. L. Walls, Eds., March 1990, U.S. Department of Commerce, National Institute of Standards and Technology, NIST Technical Note 1337.
- Taylor, B. N., and P. J. Mohr, 2001, IEEE Trans. Instrum. Meas. 50, 563.
- Taylor, J. H., 1991, Proc. IEEE 79, 1054.
- Thomsen, D. E., 29 June 1985, http://findarticles.com/p/articles/mi_m1200/is_v127/ai_3833111/.
- Time magazine, 1968; see www.time.com/time/magazine/article/0,9171,900146,00.html.
- Uhrich, P. J.-M., P. Guillemot, P. Aubry, F. Gonzalez, and C. Salomon, 2000, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 47, 1134.
- Uzan, J-P., 2003, Rev. Mod. Phys. 75, 403.
- Verbiest, J. P. W., M. Bailes, W. A. Coles, G. B. Hobbs, W. van Straten, D. J. Champion, F. A. Jenet, R. N. Manchester, N. D. R. Bhat, J. M. Sarkissian, D. Yardley, S. Burke-Spolaor, A. W. Hotan, and X. P. You, 2009, Mon. Not. R. Astron. Soc. 400, 951.
- Verbiest, J. P. W., M. Bailes, W. van Straten, G. B. Hobbs, R. T. Edwards, R. N. Manchester, N. D. R. Bhat, J. M. Sarkissian, B. A. Jacoby, and S. R. Kulkarni, 2008, Astrophys. J. 679, 675.
- Zhong, C., and T. Yang, 2007, Chin. Astron. Astrophys. 31, 443.