All-optical broadband excitation of the motional state of trapped ions


We have developed a novel all-optical broadband scheme for exciting, amplifying and measuring the secular motion of ions in a radio frequency trap. Requiring only laser line-of-sight, oscillation induced by optical excitation has been coherently amplified to precisely control and measure the ion’s secular motion. Our excitation scheme can generate coherent motion which is robust against variations in the secular frequency. Therefore, our scheme is ideal to excite the desired level of oscillatory motion under conditions where the secular frequency is evolving in time. Measuring the oscillation amplitude through Doppler velocimetry, we have characterized the experimental parameters and compared them with a molecular dynamics simulation which provides a complete description of the system.

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  1. 1.

    A. Barenco, D. Deutsch, R. Jozsa, A. Ekert, Phys. Rev. Lett. 74, 4083 (1995)

    ADS  Article  Google Scholar 

  2. 2.

    H.J. Kimble, Nature 453, 1023 (2008)

    ADS  Article  Google Scholar 

  3. 3.

    D. Leibfried, E. Knill, S. Seidelin, J. Britton, R.B. Blakestad, J. Chiaverini, D.B. Hume, W.M. Itano, J.D. Jost, C. Langer, R. Ozeri, R. Reichle, D.J. Wineland, Nature 438, 639 (2005)

    ADS  Article  Google Scholar 

  4. 4.

    J.C.J. Koelemeij, B. Roth, A. Wicht, I. Ernsting, S. Schiller, Phys. Rev. Lett. 98, 173002 (2007)

    ADS  Article  Google Scholar 

  5. 5.

    I. Bloch, Nature 453, 1016 (2008)

    ADS  Article  Google Scholar 

  6. 6.

    Q.A. Turchette, C.S. Wood, B.E. King, C.J. Myatt, D. Leibfried, W.M. Itano, C. Monroe, D.J. Wineland, Phys. Rev. Lett. 81, 3636 (1998)

    ADS  Article  Google Scholar 

  7. 7.

    H. Häffner, W. Hänsel, C.F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U.D. Rapol, M. Riebe, P.O. Schmidt, C. Becher, O. Gühne, W. Dür, R. Blatt, Nature 438, 643 (2005)

    ADS  Article  Google Scholar 

  8. 8.

    R. Blatt, D. Wineland, Nature 453, 1008 (2008)

    ADS  Article  Google Scholar 

  9. 9.

    M. Riebe, K. Kim, P. Schindler, T. Monz, P.O. Schmidt, T.K. Körber, W. Hänsel, H. Häffner, C.F. Roos, R. Blatt, Phys. Rev. Lett. 97, 220407 (2006)

    ADS  Article  Google Scholar 

  10. 10.

    K. Vahala, M. Herrmann, S. Knünz, V. Batteiger, G. Saathoff, T.W. Hansch, Th. Udem, Nat. Phys. 5, 682 (2009)

    Article  Google Scholar 

  11. 11.

    J.J. García, P. Zoller, J.I. Cirac, Phys. Rev. Lett. 91, 157901 (2003)

    ADS  Article  Google Scholar 

  12. 12.

    K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, C. Monroe, Phys. Rev. Lett. 103, 120502 (2009)

    ADS  Article  Google Scholar 

  13. 13.

    D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W.M. Itano, B. Jelenković, C. Langer, T. Rosenband, D.J. Wineland, Nature 422, 412 (2003)

    ADS  Article  Google Scholar 

  14. 14.

    M.J. Biercuk, H. Uys, J.W. Britton, A.P. VanDevender, J.J. Bollinger, Opt. Express 19, 10304 (2011)

    ADS  Article  Google Scholar 

  15. 15.

    P.O. Schmidt, T. Rosenband, C. Langer, W.M. Itano, J.C. Bergquist, D.J. Wineland, Science 309, 749 (2005)

    ADS  Article  Google Scholar 

  16. 16.

    K. Dholakia, G.Zs.K. Horvath, D.M. Segal, R.C. Thompson, D.M. Warrington, D.C. Wilson, Phys. Rev. A 47, 1 (1993)

    Article  Google Scholar 

  17. 17.

    M. Welling, H.A. Schuessler, R.I. Thompson, H. Walther, Int. J. Mass Spectrom. Ion Process. 172, 95 (1998)

    ADS  Article  Google Scholar 

  18. 18.

    S. Schlemmer, J. Illemann, S. Wellert, D. Gerlich, J. Appl. Phys. 90, 5410 (2001)

    ADS  Article  Google Scholar 

  19. 19.

    K. Sheridan, M. Keller, New J. Phys. 13, 123002 (2011)

    ADS  Article  Google Scholar 

  20. 20.

    M. Drewsen, A. Mortensen, R. Martinussen, P. Staanum, J.L. Sørensen, Phys. Rev. Lett. 93, 243201 (2004)

    ADS  Article  Google Scholar 

  21. 21.

    R. Blümel, C. Kappler, W. Quint, H. Walther, Phys. Rev. A 40, 2 (1989)

    Article  Google Scholar 

  22. 22.

    D.J. Berkeland, J.D. Miller, J.C. Bergquist, W.M. Itano, D.J. Wineland, J. Appl. Phys. 83, 10 (1998)

    Article  Google Scholar 

  23. 23.

    M.J. Biercuk, H. Uys, J.W. Britton, A.P. VanDevender, J.J. Bollinger, Nat. Nanotechnol. 5, 646 (2010)

    ADS  Article  Google Scholar 

  24. 24.

    D.B. Hume, C.W. Chou, D.R. Leibrandt, M.J. Thorpe, D.J. Wineland, T. Rosenband, Phys. Rev. Lett. 107, 243902 (2011)

    ADS  Article  Google Scholar 

  25. 25.

    D.M. Lucas, A. Ramos, J.P. Home, M.J. McDonnell, S. Nakayama, J.-P. Stacey, S.C. Webster, D.N. Stacey, A.M. Steane, Phys. Rev. A 69, 012711 (2004)

    ADS  Article  Google Scholar 

  26. 26.

    E. Brama, A. Mortensen, M. Keller, W. Lange, Appl. Phys. B 107, 945 (2012)

    ADS  Article  Google Scholar 

  27. 27.

    J.H. Wesenberg, R.J. Epstein, D. Leibfried, R.B. Blakestad, J. Britton, J.P. Home, W.M. Itano, J.D. Jost, E. Knill, C. Langer, R. Ozeri, S. Seidelin, D.J. Wineland, Phys. Rev. A 76, 053416 (2007)

    ADS  Article  Google Scholar 

  28. 28.

    L. Hornekær, M. Drewsen, Phys. Rev. A 66, 013412 (2002)

    ADS  Article  Google Scholar 

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Correspondence to K. Sheridan.

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Sheridan, K., Seymour-Smith, N., Gardner, A. et al. All-optical broadband excitation of the motional state of trapped ions. Eur. Phys. J. D 66, 289 (2012).

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  • Atomic Physics