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Model for Trapped Ion interacting with Standing Wave

S. Alam·C. Bentley
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Abstract

We treat the interaction of a trapped ion with a standing-wave light field relaxing the previous condition of the trapping ion being on the node of the standing wave. In addition we work to second order in the Lamb-Dicke parameter $η$, the extension to higher orders in $η$ is also indicated. Only a simple transformation to the ``dressed basis'' [subject to the constraint of Pauli algebra] is required in order to show that the ion interacting with a standing light-wave may be described by the Jaynes-Cummings Hamiltonian.

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S. Alam, C. Bentley. 1997-07-06. Model for Trapped Ion interacting with Standing Wave. https://arxiv.org/abs/physics/9707004

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