Abstract
The anharmonic potential felt by a single-species ions confined in a rf quadrupole trap which results from a non-ideal trap configuration and the charge distribution of the ion cloud is studied. The rf resonance-absorption spectra are explained by a Duffing oscillator and a representation of the line-shape parameter η is derived. Forη > 0.77, the electric signals will exhibit hysteresis. The relation with the anharmonic potential is discussed.
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D.J. Wineland, W.M. Itano, R.S. Van Dyck Jr.: Adv. At. Mol. Phys.19, 135 (1984)
R. Blatt, P. Gill, R.C. Thompson: J. Mod. Opt.39, 193 (1992)
L.S. Brown, G. Gabrielse: Rev. Mod. Phys. 58, 233 (1986)
R.F. Bonner, J.E. Fulford, R.E. March, G.F. Hamilton: Int. J. Mass Spectrom. Ion Proc.24, 255 (1977)
G. Gabrielse, F.C. MacKintosh: Int. J. Mass Spectrom. Ion Proc.57, 1 (1984)
J.D. Prestage, G.J. Dick, L. Maleki: J. Appl. Phys.66, 1013 (1989)
M.G. Raizen, J.M. Gilligan, J.C. Bergquist, W.M. Itano, D.J. Wineland: J. Mod. Opt.39, 233 (1992)
M. Tackikawa, M. Kajita, T. Shimizu: IEEE Trans. IM-42, 281 (1993)
H. Walther: InIrregular Atomic Systems and Quantum Chaos, ed. by J.-C. Gay (Gordon Breach, New York 1991)
M. Kajita, A.V. Zvyagin: Appl. Phys. B58, 295 (1994)
A.E. Kaplan: Phys. Rev. Lett.48, 138 (1982)
G. Gabrielse, H.G. Dehmelt, W. Kells: Phys. Rev. Lett.54, 537 (1985)
A. Kajita, M. Kimura, S. Ohtani, H. Tawara, Y. Saito: J. Phys. Soc. Jpn.59, 1127 (1990)
K. Gao, M. Yan, G. Huang, X. Zhu, X. Luo, J. Li, L. Shi: Chin. Sci. Bull.39, 1334 (1994)
D.J. Wineland, J.J. Bollinger, W.M. Itano, J.D. Prestage: Opt. Soc. Am. B2, 1712 (1985)
L.S. Cutler, C.A. Flory, R.P. Giffard, M.D. McGuire: Appl. Phys. B89, 251 (1986)
G.-Z. Li: Z. Phys. D14, 1 (1989)
R. Blatt, P. Zoller, G. Holtzmuller, I. Siemers: Z. Phys. D4, 121 (1986)
C. Meis, M. Desaintfuscien, M. Jardino: Appl. Phys. B48, 59 (1988)
E. Fischer: Z. Phys. D156, 1 (1959)
N.W. McLachlan:Theory and Application of Mathieu Functions (Oxford Univ. Press, Oxford 1947)
H.G. Dehmelt: Adv. At. Mol. Phys.3, 53 (1967)
M.N. Gaboriaud, M. Desaintfuscien, F.G. Major: Int. J. Mass. Spectrom. Ion Phys.41, 109 (1981)
A.H. Nayfeh, D.T. Mook:Nonlinear Oscillations (Wiley, New York 1979)
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Luo, X., Zhu, X., Gao, K. et al. Origin and manifestation of the anharmonic potential felt by an ion-cloud in an actual Paul trap. Appl. Phys. B 62, 421–426 (1996). https://doi.org/10.1007/BF01081205
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DOI: https://doi.org/10.1007/BF01081205