Atom interferometry measurement of the electric polarizability of lithium

  • A. Miffre
  • M. Jacquey
  • M. Büchner
  • G. Trénec
  • J. Vigué
Laser Cooling and Quantum Gas

Abstract.

Using an atom interferometer, we have measured the static electric polarizability of 7Li α=(24.33 ±0.16)×10-30  m3 = 164.2±1.1 atomic units with a 0.66% uncertainty. Our experiment, which is similar to an experiment done on sodium in 1995 by Pritchard and co-workers, consists in applying an electric field on one of the two interfering beams and measuring the resulting phase-shift. With respect to Pritchard's experiment, we have made several improvements which are described in detail in this paper: the capacitor design is such that the electric field can be calculated analytically; the phase sensitivity of our interferometer is substantially better, near 16 mrad/\(\sqrt{\mbox{Hz}}\); finally our interferometer is species selective so that impurities present in our atomic beam (other alkali atoms or lithium dimers) do not perturb our measurement. The extreme sensitivity of atom interferometry is well illustrated by our experiment: our measurement amounts to measuring a slight increase Δv of the atom velocity v when it enters the electric field region and our present sensitivity is sufficient to detect a variation Δv/v ≈6 ×10-13.

PACS.

32.10.Dk Electric and magnetic moments, polarizability 03.75.Dg Atom and neutron interferometry 32.60.+i Zeeman and Stark effects 39.20.+q Atom interferometry techniques 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K.D. Bonin, V.V. Kresin, Electric-Dipole Polarizabilities of Atoms, Molecules and Clusters (World Scientific, 1997) Google Scholar
  2. R.W. Molof, H.L. Schwartz, T.M. Miller, B. Bederson, Phys. Rev. A 10, 1131 (1974) CrossRefADSGoogle Scholar
  3. J.M. Amini, H. Gould, Phys. Rev. Lett. 91, 153001 (2003) CrossRefADSGoogle Scholar
  4. C.R. Ekstrom, J. Schmiedmayer, M.S. Chapman, T.D. Hammond, D.E. Pritchard, Phys. Rev. A 51, 3883 (1995) CrossRefADSGoogle Scholar
  5. R. Delhuille, C. Champenois, M. Büchner, L. Jozefowski, C. Rizzo, G. Trénec, J. Vigué, Appl. Phys. B 74, 489 (2002) CrossRefADSGoogle Scholar
  6. A. Miffre, M. Jacquey, M. Büchner, G. Trénec, J. Vigué, Eur. Phys. J. D 33, 99 (2005) CrossRefADSGoogle Scholar
  7. A. Miffre, M. Jacquey, M. Büchner, G. Trénec, J. Vigué, J. Chem. Phys. 122, 094308 (2005) CrossRefGoogle Scholar
  8. A. Miffre, M. Jacquey, M. Büchner, G. Trénec, J. Vigué, Phys. Rev. A (accepted); preprint available on https://hal.ccsd.cnrs.fr/ccsd-00005359 Google Scholar
  9. T.D. Roberts, A.D. Cronin, M.V. Tiberg, D.E. Pritchard, Phys. Rev. Lett. 92, 060405 (2004) CrossRefADSGoogle Scholar
  10. F. Shimizu, K. Shimizu, H. Takuma, Jpn J. Appl. Phys. 31, L436 (1992) Google Scholar
  11. S. Nowak, N. Stuhler, T. Pfau, J. Mlynek, Phys. Rev. Lett. 81, 5792 (1998) CrossRefADSGoogle Scholar
  12. S. Nowak, N. Stuhler, T. Pfau, J. Mlynek, Appl. Phys. B 69, 269 (1999) CrossRefADSGoogle Scholar
  13. V. Rieger, K. Sengstock, U. Sterr, J.H. Müller, W. Ertmer, Opt. Comm. 99, 172 (1993) CrossRefADSGoogle Scholar
  14. A. Morinaga, N. Nakamura, T. Kurosu, N. Ito, Phys. Rev. A 54, R21 (1996) Google Scholar
  15. K. Sangster, E.A. Hinds, S.M. Barnett, E. Riis, Phys. Rev. Lett. 71, 3641 (1993) CrossRefADSGoogle Scholar
  16. K. Sangster, E.A. Hinds, S.M. Barnett, E. Riis, A.G. Sinclair, Phys. Rev. A 51, 1776 (1995) CrossRefADSGoogle Scholar
  17. K. Zeiske, G. Zinner, F. Riehle, J. Helmcke, Appl. Phys. B 60, 295 (1995) CrossRefADSGoogle Scholar
  18. Y. Aharonov, A. Casher, Phys. Rev. Lett. 53, 319 (1984) CrossRefADSMathSciNetGoogle Scholar
  19. Laser Cheval, website: http://www.cheval-freres.fr Google Scholar
  20. D.W. Keith, C.R. Ekstrom, Q.A. Turchette, D.E. Pritchard, Phys. Rev. Lett. 66, 2693 (1991) CrossRefADSGoogle Scholar
  21. J. Schmiedmayer, M.S. Chapman, C.R. Ekstrom, T.D. Hammond, D.A. Kokorowski, A. Lenef, R.A. Rubinstein, E.T. Smith, D.E. Pritchard, in Atom interferometry, edited by P.R. Berman (Academic Press, 1997), p. 1 Google Scholar
  22. D.M. Giltner, R.W. McGowan, Siu Au Lee, Phys. Rev. Lett. 75, 2638 (1995) CrossRefADSGoogle Scholar
  23. H.C.W. Beijerinck, N.F. Verster, Physica 111C, 327 (1981) Google Scholar
  24. J.P. Toennies, K. Winkelmann, J. Chem. Phys. 66, 3965 (1977) CrossRefADSGoogle Scholar
  25. H. Haberland, U. Buck, M. Tolle, Rev. Sci. Instrum. 56, 1712 (1985) CrossRefADSGoogle Scholar
  26. P.A. Skovorodko, 24th International Symposium on Rarefied Gas Dynamics, AIP Conference Proceedings 762, 857 (2005) and private communication CrossRefADSGoogle Scholar
  27. J.R. Mowat, Phys. Rev. A 5, 1059 (1972) CrossRefADSGoogle Scholar
  28. H. Scheffers, J. Stark, Phys. Z. 35, 625 (1934) Google Scholar
  29. A. Salop, E. Pollack, B. Bederson, Phys. Rev. 124, 1431 (1961) CrossRefADSGoogle Scholar
  30. G.E. Chamberlain, J.C. Zorn, Phys. Rev. 129, 677 (1963) CrossRefADSGoogle Scholar
  31. F.W. King, J. Mol. Structure (Theochem) 400, 7 (1997) Google Scholar
  32. A. Dalgarno, A.E. Kingston, Proc. Roy. Soc. 73, 455 (1959) CrossRefGoogle Scholar
  33. N.E. Kassimi, A.J. Thakkar, Phys. Rev. A 50, 2948 (1994) CrossRefADSGoogle Scholar
  34. Z.C. Yan, J.F. Babb, A. Dalgarno, G.W.F. Drake, Phys. Rev. A 54, 2824 (1996) CrossRefADSGoogle Scholar
  35. I.S. Lim, M. Pernpointer, M. Seth, J.K. Laerdahl, P. Schwerdtfeger, P. Neogrady, M. Urban, Phys. Rev. A 60 2822 (1999) Google Scholar
  36. Z.C. Yan, G.W.F. Drake, Phys. Rev. A 52, 3711 (1995) CrossRefADSGoogle Scholar
  37. Z.C. Yan, G.W.F. Drake, Phys. Rev. A 52, R4316 (1995) Google Scholar
  38. T.D. Roberts, Ph. D. thesis (unpublished), MIT (2002) Google Scholar
  39. J.P. Toennies, private communication (2003) Google Scholar
  40. I.S. Gradshteyn, I.M. Ryzhik, Tables of integrals, series and products, 4th edn. (Academic Press, 1980) Google Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  • A. Miffre
    • 1
  • M. Jacquey
    • 1
  • M. Büchner
    • 1
  • G. Trénec
    • 1
  • J. Vigué
    • 1
  1. 1.Laboratoire Collisions Agrégats Réactivité, IRSAMC, Université Paul Sabatier and CNRS UMR 5589Toulouse CedexFrance

Personalised recommendations