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

H. Moya-Cessa, D. Jonathan, P. L. Knight
2003 Journal of Modern Optics  
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 fatcat:bqkj7kv7v5arjpngxqch4bmjde