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Langevin equation for the parametric oscillator: a model for ion confinement in a radio frequency trap

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Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

We have calculated 〈x 2〉 and 〈v 2〉 for an ion in a rf trap being cooled by a stochastic force. The results agree with earlier work (using a Fokker-Planck equation) as long as there is white noise. However, there is an appreciable reduction for both quantities, if non-Markovian processes are included.

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Authors and Affiliations

  1. I. Institut für Experimentalphysik der Universität Hamburg, Jungiusstrasse 9, D-2000, Hamburg 36, Federal Republic of Germany

    E. Joos & A. Lindner

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  1. E. Joos
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  2. A. Lindner
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Joos, E., Lindner, A. Langevin equation for the parametric oscillator: a model for ion confinement in a radio frequency trap. Z Phys D - Atoms, Molecules and Clusters 11, 295–300 (1989). https://doi.org/10.1007/BF01438502

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  • DOI: https://doi.org/10.1007/BF01438502

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