We propose a scheme to generate superpositions of coherent states for the vibrational motion of a laser cooled trapped-ion. It is based on the interaction with a standing wave making use of the counter-rotating terms, i.e. not applying the rotating wave approximation. We also show that the same scheme can be exploited for quantum state measurement, i.e. with the same scheme non-classical states may be reconstructed
@article{arxiv.quant-ph/0004080,
title = {Vibrational Superposition States Without Rotating Wave Approximation},
author = {S. Mancini and H. Moya-Cessa and P. Tombesi},
journal= {arXiv preprint arXiv:quant-ph/0004080},
year = {2013}
}