A generalized Jaynes-Cummings model: The relativistic parametric amplifier and a single trapped ion

D. Ojeda-Guillén; R. D. Mota; V. D. Granados

doi:10.1063/1.4954329

A generalized Jaynes-Cummings model: The relativistic parametric amplifier and a single trapped ion

D. Ojeda-Guillén, R. D. Mota, V. D. Granados

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Abstract

We introduce a generalization of the Jaynes-Cummings model and study some of its properties. We obtain the energy spectrum and eigenfunctions of this model by using the tilting transformation and the squeezed number states of the one-dimensional harmonic oscillator. As physical applications, we connect this new model to two important and novelty problems: The relativistic parametric amplifier and the quantum simulation of a single trapped ion.

Original language	English
Article number	062104
Journal	Journal of Mathematical Physics
Volume	57
Issue number	6
DOIs	https://doi.org/10.1063/1.4954329
State	Published - 1 Jun 2016

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AB - We introduce a generalization of the Jaynes-Cummings model and study some of its properties. We obtain the energy spectrum and eigenfunctions of this model by using the tilting transformation and the squeezed number states of the one-dimensional harmonic oscillator. As physical applications, we connect this new model to two important and novelty problems: The relativistic parametric amplifier and the quantum simulation of a single trapped ion.

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A generalized Jaynes-Cummings model: The relativistic parametric amplifier and a single trapped ion

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