arXiv:quant-ph/0110167 · Journal of Modern Optics

A family of exact eigenstates for a single trapped ion interacting with a laser field

H. M. Moya-Cessa, Daniel Jonathan, P. L. Knight

Published Jan 1, 2003• 34 citations

Abstract

We show that, under certain combinations of the parameters governing the interaction of a harmonically trapped ion with a laser beam, it is possible to find one or more exact eigenstates of the Hamiltonian, with no approximations except the optical rotating-wave approximation. These are related via a unitary equivalence to exact eigenstates of the full Jaynes-Cummings model (including counter-rotating terms) supplemented by a static driving term.

DOI: 10.1080/09500340210149633

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