The theory of interactions between lasers and cold trapped ions as it pertains to the design of Cirac-Zoller quantum computers is discussed. The mean positions of the trapped ions, the eigenvalues and eigenmodes of the ions' oscillations, the magnitude of the Rabi frequencies for both allowed and forbidden internal transitions of the ions and the validity criterion for the required Hamiltonian are calculated. Energy level data for a variety of ion species is also presented.
@article{arxiv.quant-ph/9702053,
title = {Quantum dynamics of cold trapped ions, with application to quantum computation},
author = {Daniel F. V. James},
journal= {arXiv preprint arXiv:quant-ph/9702053},
year = {2009}
}