Abstract
Ions confined using a Paul trap require a stable, high voltage and low noise radio frequency (RF) potential. We present a guide for the design and construction of a helical coil resonator for a desired frequency that maximises the quality factor for a set of experimental constraints. We provide an in-depth analysis of the system formed from a shielded helical coil and an ion trap by treating the system as a lumped element model. This allows us to predict the resonant frequency and quality factor in terms of the physical parameters of the resonator and the properties of the ion trap. We also compare theoretical predictions with experimental data for different resonators, and predict the voltage applied to the ion trap as a function of the Q factor, input power and the properties of the resonant circuit.
Similar content being viewed by others
References
W. Paul, Rev. Mod. Phys. 62, 531 (1990)
J.J. Bollinger, D.J. Heinzen, W.M. Itano, S.L. Gilbert, D.J. Wineland, IEEE Trans. Instrum. Meas. 40, 126 (1991)
P.T. H Fisk, M.J. Sellars, M.A. Lawn, G. Coles, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44, 344 (1997)
D. Kielpinski, C. Monroe, D.J. Wineland, Nature 417, 709 (2002)
J.I. Cirac, P. Zoller, Phys. Rev. Lett. 74, 4091 (1995)
H. Häffner, C.F. Roos, R. Blatt, Phys. Rep. 469, 155 (2008)
R.J. Clark, T. Lin, K.R. Brown, I.L. Chuang, J. Appl. Phys. 105, 013114 (2009)
P.A. Ivanov, S.S. Ivanov, N.V. Vitanov, A. Mering, M. Fleischhauer, K. Singer, Phys. Rev. A 80, 060301 (2009)
D. Porras, J.I. Cirac, Phys. Rev. Lett. 92, 207901 (2004)
H. Schmitz, A. Friedenauer, C. Schneider, R. Matjeschk, M. Enderlein, T. Huber, J. Glueckert, D. Porras, T. Schaetz, Appl. Phys. B, Lasers Opt. 95, 195 (2009)
M. Yu, V. Dokas, in Proceedings of 34th European Microwave Conference, vol. 2 (2004), pp. 989–992
J.C. Collingwood, J.W. White, J. Sci. Instrum. 44, 509 (1967)
W. Meyer, IEEE Trans. Microw. Theory Tech. 29, 240 (1981)
W.W. Macalpine, R.O. Schildknecht, Proc. IRE 47, 2099 (1959)
P.K. Ghosh, Ion Traps (Oxford University Press, Oxford, 1996)
M.J. Madsen, W.K. Hensinger, D. Stick, J.A. Rabchuk, C. Monroe, Appl. Phys. B, Lasers Opt. 78, 639 (2004)
D. Hucul, M. Yeo, W.K. Hensinger, J. Rabchuk, S. Olmschenk, C. Monroe, Quantum Inf. Comput. 8, 501 (2008)
Q.A. Turchette, D. Kielpinski, B.E. King, D. Leibfried, D.M. Meekhof, C.J. Myatt, M.A. Rowe, C.A. Sackett, C.S. Wood, W.M. Itano, C. Monroe, D.J. Wineland, Phys. Rev. A 61, 063418 (2000)
R.G. Medhurst, Wir. Eng., February and March 35, 80 (1947)
A.I. Zverev, H.J. Blinchikoff, IEEE Trans. Component Parts 8, 99 (1961)
M.D. Hughes, B. Lekitsch, J.A. Broersma, W.K. Hensinger, Contemp. Phys. 52, 505 (2011)
Acknowledgements
This work was supported by the UK Engineering and Physical Sciences Research Council (EP/E011136/1 and EP/G007276/1), the European Commission’s Sixth Framework Marie Curie International Reintegration Programme (Grant No. MIRG-CT-2007-046432), the Nuffield Foundation, and the University of Sussex.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Siverns, J.D., Simkins, L.R., Weidt, S. et al. On the application of radio frequency voltages to ion traps via helical resonators. Appl. Phys. B 107, 921–934 (2012). https://doi.org/10.1007/s00340-011-4837-0
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-011-4837-0