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Your search keyword '"Ojeda-Guillén, D."' showing total 2 results
2 results on '"Ojeda-Guillén, D."'

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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2. The SU(1, 1) Perelomov number coherent states and the non-degenerate parametric amplifier.

Author

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

Subjects
*COHERENT states, *NUMBER theory, *PARAMETRIC amplifiers, *HARMONIC oscillators, *EIGENFUNCTIONS, *GROUP theory, *LIE algebras, *OPERATOR theory
Abstract

We construct the Perelomov number coherent states for an arbitrary su(1, 1) group operation and study some of their properties. We introduce three operators which act on Perelomov number coherent states and close the su(1, 1) Lie algebra. By using the tilting transformation we apply our results to obtain the energy spectrum and eigenfunctions of the non-degenerate parametric amplifier. We show that these eigenfunctions are the Perelomov number coherent states of the two-dimensional harmonic oscillator. [ABSTRACT FROM AUTHOR]

Published
2014
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