OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 19 — Sep. 10, 2012
  • pp: 21379–21384

Spectroscopy on a single trapped 137Ba+ ion for nuclear magnetic octupole moment determination

Nicholas C. Lewty, Boon Leng Chuah, Radu Cazan, B. K. Sahoo, and M. D. Barrett  »View Author Affiliations

Optics Express, Vol. 20, Issue 19, pp. 21379-21384 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (850 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present precision measurements of the hyperfine intervals in the 5D3/2 manifold of a single trapped Barium ion, 137Ba+. Measurements of the hyperfine intervals are made between mF = 0 sublevels over a range of magnetic fields allowing us to interpolate to the zero field values with an accuracy below a few Hz, an improvement on previous measurements by three orders of magnitude. Our results, in conjunction with theoretical calculations, provide a 30-fold reduction in the uncertainty of the magnetic dipole (A) and electric quadrupole (B) hyperfine constants. In addition, we obtain the magnetic octupole constant (C) with an accuracy below 0.1Hz. This gives a subsequent determination of the nuclear magnetic octupole moment, Ω, with an uncertainty of 1% limited almost completely by the accuracy of theoretical calculations. This constitutes the first observation of the octupole moment in 137Ba+ and the most accurately determined octupole moment to date.

© 2012 OSA

OCIS Codes
(020.2930) Atomic and molecular physics : Hyperfine structure
(300.6520) Spectroscopy : Spectroscopy, trapped ion

ToC Category:
Atomic and Molecular Physics

Original Manuscript: July 4, 2012
Revised Manuscript: August 22, 2012
Manuscript Accepted: August 25, 2012
Published: September 4, 2012

Nicholas C. Lewty, Boon Leng Chuah, Radu Cazan, B. K. Sahoo, and M. D. Barrett, "Spectroscopy on a single trapped 137Ba+ ion for nuclear magnetic octupole moment determination," Opt. Express 20, 21379-21384 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Langacker, M. Luo, and A. K. Mann, “High-precision electroweak experiments: a global search for new physics beyond the Standard Model,” Rev. Mod. Phys.64, 87–192 (1992). [CrossRef]
  2. B. K. Sahoo, R. Chaudhuri, B. P. Das, and D. Mukherjee, “Relativistic coupled-cluster theory of atomic parity nonconservation: application to 137Ba+,” Phys. Rev. Lett.96, 163003 (2006). [CrossRef] [PubMed]
  3. E. Arimondo, M. Inguscio, and P. Violino, “Experimental determinations of the hyperfine structure in the alkali atoms,” Rev. Mod. Phys.49, 31–75 (1977). [CrossRef]
  4. M. R. Dietrich, N. Kurz, T. Noel, G. Shu, and B. B. Blinov, “Hyperfine and optical barium ion qubits,” Phys. Rev. A81, 052328 (2010). [CrossRef]
  5. B. L. Chuah, N. C. Lewty, and M. D. Barrett, “State detection using coherent Raman repumping and two-color Raman transfers,” Phys. Rev. A84, 013411 (2011). [CrossRef]
  6. K. Beloy, A. Derevianko, V. A. Dzuba, G. T. Howell, B. B. Blinov, and E. N. Fortson, “Nuclear magnetic octupole moment and the hyperfine structure of the 5D3/2,5/2 states of the Ba+ ion,” Phys. Rev. A77, 052503 (2008). [CrossRef]
  7. K. Beloy, A. Derevianko, and W. R. Johnson, “Hyperfine structure of the metastable 3P2 state of alkaline-earth-metal atoms as an accurate probe of nuclear magnetic octupole moments,” Phys. Rev. A77, 012512 (2008). [CrossRef]
  8. B. K. Sahoo, manuscript under preparation (2012).
  9. B. K. Sahoo, “Relativistic coupled-cluster theory of quadrupole moments and hyperfine structure constants of 5d states in Ba+,” Phys. Rev. A74, 020501 (2006). [CrossRef]
  10. T. W. Koerber, M. H. Schacht, K. R. G. Hendrickson, W. Nagourney, and E. N. Fortson, “rf spectroscopy with a single Ba+ ion,” Phys. Rev. Lett.88, 143002 (2002). [CrossRef] [PubMed]
  11. D. J. Berkeland, “Linear Paul trap for strontium ions,” Rev. Sci. Instrum.73, 2856–2861 (2002). [CrossRef]
  12. D. W. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” SIAM J. Appl. Mathem.11, 431–441 (1963). [CrossRef]
  13. H. J. Metcalf and P. van der Straten, Laser Cooling and Trapping (Springer1999), Chap. 1.2, Eq. (1.12b). [CrossRef]
  14. K. H. Knöll, G. Marx, K. Hübner, F. Schweikert, S. Stahl, Ch. Weber, and G. Werth, “Experimental gJ factor in the metastable 5D3/2 level of Ba+,” Phys. Rev. A54, 1199–1205 (1996). [CrossRef] [PubMed]
  15. G. Marx, G. Tommaseo, and G. Werth, “Precise gJ - and gI -factor measurements of Ba+ isotopes,” Eur. Phys. J. D4, 279–284 (1998). [CrossRef]
  16. D. J. Berkeland, J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, “Minimization of ion micromotion in a Paul trap,” J. Appl. Phys.83, 5025–5034 (1998). [CrossRef]
  17. G. Werth, “Hyperfine structure and g-factor measurements in ion traps,” Physica ScriptaT59, 206–210 (1995). [CrossRef]
  18. M. Van Hove, G. Borghs, P. De Bisschop, and R. E. Silverans, “Hyperfine structure of 5d2D3/2135,137Ba ions by collinear fast beam laser-rf double resonance spectroscopy,” Z. Phys. A: Hadrons and Nuclei321, 215–219 (1985).
  19. V. Gerginov, A. Derevianko, and C. E. Tanner, “Observation of the nuclear magnetic octupole moment of 133Cs,” Phys. Rev. Lett.91, 072501 (2003). [CrossRef] [PubMed]
  20. V. Gerginov, C. E. Tanner, and W. R. Johnson, “Observation of the nuclear magnetic octupole moment of 87Rb from spectroscopic measurements of hyperfine intervals,” Can. J. Phys.87, 101–104 (2009). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited