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

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.

preprint2001arXivOpen access
H. Moya-CessaD. JonathanP. L. Knight
quant-ph
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Open access3 authors1 topic
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H. Moya-CessaD. JonathanP. L. Knight

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