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

H. Moya-Cessa·D. Jonathan·P. L. Knight
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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.

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H. Moya-Cessa, D. Jonathan, P. L. Knight. 2001-10-29. A family of exact eigenstates for a single trapped ion interacting with a laser field. https://doi.org/10.1080/09500340210149633

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