Bonn 2000 – scientific programme
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Q: Quantenoptik
Q 41: Poster: Fallen und Kühlung
Q 41.1: Poster
Thursday, April 6, 2000, 16:30–19:30, Aula
Displaced squeezed states for ions in a nonlinear trap — •Viorica Gheorghe1,2, A. Gheorghe3, and G. Werth1 — 1Institut für Physik, Johannes-Gutenberg-Universität, D-55099, Mainz, Germany — 2National Institute for Laser, Plasma and Radiation, Bucharest, Romania — 3National Institute of Physics and Nuclear Engineering, Bucharest, Romania
We study the quantum Hamiltonian of an ion confined in a nonlinear electromagnetic trap. Using the coherent state approach developed in [1] and [2] we obtain an analytic description of the trapped ion dynamics in terms of the displaced squeezed states and the corresponding even and odd Schrödinger-cat states. The expectation values of the quantum Hamiltonian with respect to the displaced squeezed states yield a classical Hamiltonian. Moreover, we obtain a quasi-classical description for the collective center of mass motion of the stored ion system considered in [3] and discuss the stability properties of the trapped ions for suitable trap anharmonicities.
[1] V. N. Gheorghe and G. Werth, (accepted for publication in EPJ D)
[2] V. Gheorghe, A. Gheorghe, A. Mihalcea, Proc.of the 29th EGAS Conference, Berlin, 1997, p.428
[3] R. Alheit, X. Z. Chu, M. Hoefer, M. Holzki, and G. Werth, Phys. Rev. A 56, 4023 (1997)