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

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

2001-10-29

arxiv.org/abs/quant-ph/0110167v1

Physics

Quantum Physics

11 pages, 1 eps figure

Scientific paper

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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