Applied Physics B

, Volume 107, Issue 4, pp 1061–1067 | Cite as

Precision measurements in ion traps using slowly moving standing waves

  • A. WaltherEmail author
  • U. Poschinger
  • K. Singer
  • F. Schmidt-Kaler


The present paper describes the experimental implementation of a measuring technique employing a slowly moving, near-resonant, optical standing wave in the context of trapped ions. It is used to measure several figures of merit that are important for quantum computation in ion traps and which are otherwise not easily obtainable. Our technique is shown to offer high precision, and also in many cases uses a much simpler setup than what is normally used. We demonstrate here measurements of (i) the distance between two crystalline ions, in units of the standing wave period, (ii) the Lamb–Dicke parameter, (iii) the temperature of the ion crystal, and (iv) the interferometric stability of a Raman setup. The exact distance between two ions, in units of standing wave periods, is very important for motional entangling gates, and our method offers a practical way of calibrating this distance in the typical laboratory situation.


Standing Wave Trap Frequency Beat Pattern Trap Axis Wave Packet Width 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R. Blatt, D. Wineland, Nature 453, 1008 (2008) ADSCrossRefGoogle Scholar
  2. 2.
    M. Johanning, A. Varón, C. Wunderlich, J. Phys. B, At. Mol. Opt. Phys. 42, 154009 (2009) ADSCrossRefGoogle Scholar
  3. 3.
    D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W.M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, D.J. Wineland, Nature 422, 412 (2003) ADSCrossRefGoogle Scholar
  4. 4.
    G.R. Guthöhrlein, M. Keller, K. Hayasaka, W. Lange, H. Walther, Nature 414, 49 (2001) ADSCrossRefGoogle Scholar
  5. 5.
    J. Eschner, Eur. Phys. J. D 22, 341 (2003) ADSCrossRefGoogle Scholar
  6. 6.
    P.F. Herskind, A. Dantan, J.P. Marler, M. Albert, M. Drewsen, Nat. Phys. 5, 494 (2009) CrossRefGoogle Scholar
  7. 7.
    I. Garcia-Mata, O.V. Zhirov, D.L. Shepelyansky, Eur. Phys. J. D 41, 325 (2007) ADSCrossRefGoogle Scholar
  8. 8.
    U. Eichmann, J. Bergquist, J. Bollinger, J. Gilligan, W. Itano, D. Wineland, M. Raizen, Phys. Rev. Lett. 70, 2359 (1993) ADSCrossRefGoogle Scholar
  9. 9.
    C. Thiel, T. Bastin, J. von Zanthier, G.S. Agarwal, Phys. Rev. A 80, 013820 (2009) ADSCrossRefGoogle Scholar
  10. 10.
    A.H. Burrell, D.J. Szwer, S.C. Webster, D.M. Lucas, Phys. Rev. A 81, 040302 (2010) ADSCrossRefGoogle Scholar
  11. 11.
    S. Schulz, U. Poschinger, K. Singer, F. Schmidt-Kaler, Fortschr. Phys. 54, 648 (2006) CrossRefGoogle Scholar
  12. 12.
    U. Poschinger, A. Walther, K. Singer, F. Schmidt-Kaler, Phys. Rev. Lett. 105, 263602 (2010) ADSCrossRefGoogle Scholar
  13. 13.
    A. Sørensen, K. Mølmer, Phys. Rev. A 62, 022311 (2000) ADSCrossRefGoogle Scholar
  14. 14.
    J. Benhelm, G. Kirchmair, C.F. Roos, R. Blatt, Nat. Phys. 4, 463 (2008) CrossRefGoogle Scholar
  15. 15.
    C. Roos, New J. Phys. 10 (2008) Google Scholar
  16. 16.
    R. Ozeri, C. Langer, J.D. Jost, B. DeMarco, A. Ben-Kish, B.R. Blakestad, J. Britton, J. Chiaverini, W.M. Itano, D.B. Hume, D. Leibfried, T. Rosenband, P.O. Schmidt, D.J. Wineland, Phys. Rev. Lett. 95, 030403 (2005) ADSCrossRefGoogle Scholar
  17. 17.
    R. Ozeri, W.M. Itano, R.B. Blakestad, J.W. Britton, J. Chiaverini, J.D. Jost, C. Langer, D. Leibfried, R. Reichle, S. Seidelin, J. Wesenberg, D.J. Wineland, Phys. Rev. A 75, 042329 (2007) ADSCrossRefGoogle Scholar
  18. 18.
    M.J. McDonnell, J.-P. Stacey, S.C. Webster, J.P. Home, A. Ramos, D.M. Lucas, D.N. Stacey, A.M. Steane, Phys. Rev. Lett. 93, 153601 (2004) ADSCrossRefGoogle Scholar
  19. 19.
    P. Ivanov, U. Poschinger, K. Singer, F. Schmidt-Kaler, Europhys. Lett. 92, 30006 (2010) ADSCrossRefGoogle Scholar
  20. 20.
    N. Timoney, V. Elman, S. Glaser, C. Weiß, M. Johanning, W. Neuhauser, Phys. Rev. A 77, 05233 (2008) CrossRefGoogle Scholar
  21. 21.
    D.V.F. James, Appl. Phys. B 66, 181 (1998) ADSCrossRefGoogle Scholar
  22. 22.
    D.J. Wineland, C. Monroe, W.M. Itano, D. Leibfried, B.E. King, D.M. Meekhof, J. Res. Natl. Inst. Stand. Technol. 103, 259 (1998) CrossRefGoogle Scholar
  23. 23.
    J.I. Cirac, R. Blatt, P. Zoller, W.D. Phillips, Phys. Rev. A 46, 2668 (1992) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • A. Walther
    • 1
    Email author
  • U. Poschinger
    • 1
  • K. Singer
    • 1
  • F. Schmidt-Kaler
    • 1
  1. 1.Institut für QuantenphysikUniversität MainzMainzGermany

Personalised recommendations