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

Author

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

Subjects
*JAYNES-Cummings model, *HARMONIC oscillators, *PARAMETRIC amplifiers, *QUANTUM theory, *COMPUTER simulation, *MATHEMATICAL transformations, *ION traps
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 onedimensional 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. [ABSTRACT FROM AUTHOR]

Published
2016
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