Sideband cooling of ions in radio-frequency traps

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 1, 1999, Pages 439-449

  Peik, E ^a   Abel, J ^a   Becker, Th ^a   von Zanthier, J ^a   Walther, H ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000313647     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.439     Document Type: Article

References (39)

1. D. Wineland and H. Dehmelt, Bull. Am. Phys. Soc. 20, 637 (1975).
2. D.J. Wineland and W.M. Itano, Phys. Rev. A 20, 1521 (1979).
3. T.W. Hänsch and A.L. Schawlow, Opt. Commun. 13, 68 (1975).
4. F. Diedrich, J.C. Bergquist, W.M. Itano, and D.J. Wineland, Phys. Rev. Lett. 62, 403 (1989).
5. C. Monroe, D.M. Meekhof, B.E. King, S.R. Jefferts, W.M. Itano, D.J. Wineland, and P. Gould, Phys. Rev. Lett. 75, 4011 (1995).
6. H. Perrin, A. Kuhn, I. Bouchoule, and C. Salomon, Europhys. Lett. 42, 395 (1998).
7. S.E. Hamann, D.L. Haycock, G. Klose, P.H. Pax, I.H. Deutsch, and P.S. Jessen, Phys. Rev. Lett. 80, 4149 (1998).
8. E. Peik, G. Hollemann, and H. Walther, Phys. Rev. A 49, 402 (1994).
9. H. Dehmelt, IEEE Trans Instrum. Meas. 31, 83 (1982).
10. D.M. Meekhof, C. Monroe, B.E. King, W.M. Itano, and D.J. Wineland, Phys. Rev. Lett. 76, 1796 (1996)
11. Phys. Rev. Lett.D.M. MeekhofC. MonroeB.E. KingW.M. ItanoD.J. Wineland77, 2346(E) (1996).
12. C. Monroe, D.M. Meekhof, B.E. King, and D.J. Wineland, Science 272, 1131 (1996).
13. J.I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995).
14. C. Monroe, D.M. Meekhof, B.E. King, W.M. Itano, and D.J. Wineland, Phys. Rev. Lett. 75, 4714 (1995).
15. S. Stenholm, Rev. Mod. Phys. 58, 699 (1986).
16. J. Javanainen, M. Lindberg, and S. Stenholm, J. Opt. Soc. Am. B 1, 111 (1984).
17. D. Wineland, W. Itano, J. Bergquist, and R. Hulet, Phys. Rev. A 36, 2220 (1987).
18. R.F. Wuerker, H. Shelton, and R.V. Langmuir, J. Appl. Phys. 30, 342 (1959).
19. H. Dehmelt, in Advances in Atomic and Molecular Physics, edited by D. R. Bates and I. Estermann (Academic, New York, 1967), Vol. 3;. (Academic, New York, 1969), Vol. 5.
20. L.S. Brown, Phys. Rev. Lett. 66, 527 (1991).
21. R. Glauber, in Proceedings of the International School of Physics “Enrico Fermi,” edited by E. Arimondo and W. Phillips (North-Holland, Amsterdam, 1991), Vol. 118.
22. J.I. Cirac, L.J. Garay, R. Blatt, A.S. Parkins, and P. Zoller, Phys. Rev. A 49, 421 (1994).
23. For a comparison with our results see especially Fig. 3(b) of Ref. 21, which shows the case of traveling-wave laser excitation.
24. N. Yu, W. Nagourney, and H. Dehmelt, J. Appl. Phys. 69, 3779 (1991).
25. C. Schrama, E. Peik, W.W. Smith, and H. Walther, Opt. Commun. 101, 32 (1993).
26. F. Diedrich, E. Peik, J.M. Chen, W. Quint, and H. Walther, Phys. Rev. Lett. 59, 2931 (1987).
27. D.J. Wineland, J.C. Bergquist, W.M. Itano, J.J. Bollinger, and C.H. Manney, Phys. Rev. Lett. 59, 2935 (1987).
28. R.G. DeVoe, J. Hoffnagle, and R.G. Brewer, Phys. Rev. A 39, 4362 (1989).
29. R. Blümel, C. Kappler, W. Quint, and H. Walther, Phys. Rev. A 40, 808 (1989)
30. Phys. Rev. AR. BlümelC. KapplerW. QuintH. Walther46, 8034(E) (1992).
31. For the optical excitation this condition is already fulfilled if there is an integer m such that (Formula presented). Experimentally, an exact integer ratio between the frequencies will usually be avoided because it can lead to parametric excitation of the secular motion through the trapping field [see R. Alheit, C. Hennig, R. Morgenstern, F. Vedel, and G. Werth, Appl. Phys. B: Lasers Opt. 61, 277 (1995)].
32. T. Sauter, H. Gilhaus, W. Neuhauser, R. Blatt, and P. Toschek, Europhys. Lett. 7, 317 (1988).
33. E. Peik, G. Hollemann, and H. Walther, Phys. Scr. T59, 403 (1995).
34. E.L. Pollock and J.P. Hansen, Phys. Rev. A 8, 3110 (1973).
35. I. Waki, S. Kassner, G. Birkl, and H. Walther, Phys. Rev. Lett. 68, 2007 (1992).
36. M.G. Raizen, J.M. Gilligan, J.C. Bergquist, W.M. Itano, and D.J. Wineland, Phys. Rev. A 45, 6493 (1992).
37. B.E. King, C.S. Wood, C.J. Myatt, Q.A. Turchette, D. Leibfried, W.M. Itano, C. Monroe, and D.J. Wineland, Phys. Rev. Lett. 81, 1525 (1998).
38. E. Peik, G. Hollemann, C. Schrama, and H. Walther, Laser Phys. 4, 376 (1994).
39. R. Blümel, J.M. Chen, E. Peik, W. Quint, W. Schleich, Y.R. Shen, and H. Walther, Nature (London) 334, 309 (1988).