English

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

High Energy Physics - Theory 2016-11-04 v2 Mathematical Physics math.MP Quantum Physics

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 har- monic 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.

Keywords

Cite

@article{arxiv.1411.1974,
  title  = {A generalized Jaynes-Cummings model: The relativistic parametric amplifier and a single trapped ion},
  author = {D. Ojeda-Guillén and R. D. Mota and V. D. Granados},
  journal= {arXiv preprint arXiv:1411.1974},
  year   = {2016}
}

Comments

This paper was published onder the title "A generalized Jaynes-Cummings model: The relativistic parametric amplifier and a single trapped ion"