Quantum motion of three trapped ions in one dimension
Department of Physics, Hunan Normal University, Hunan, 410081, China
2 Laboratory of Magnetic Resonance and Atomic and Molecular Physics Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan, 430071, China
Revised: 25 March 1999
Published online: 15 September 1999
The hyperspherical-coordinate approach is employed to a one-dimensional model of three ions in a Paul trap. It is shown that the eigen wave functions have well-defined nodal structure indicating a near separability in the hyperspherical coordinates, then two approximate good quantum numbers are introduced to classify the eigenstates. Three important classical periodic motions, including the breathing motion and the (distorted-)symmetric or anti-symmetric stretching motion, are found to dominate the wave function distribution.
PACS: 32.80.Pj – Optical cooling of atoms; trapping / 03.65.Ge – Solutions of wave equations: bound states / 42.50.Vk – Mechanical effects of light on atoms, molecules, electrons, and ions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999