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

Journal Article · Wed Jun 15 00:00:00 EDT 2016 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4954329· OSTI ID:22596684

Mota, R. D. ^[1]; Granados, V. D. ^[2]

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1. Escuela Superior de Ingeniería Mecánica y Eléctrica, Unidad Culhuacán, Instituto Politécnico Nacional, Av. Santa Ana No. 1000, Col. San Francisco Culhuacán, Delegación Coyoacán, C.P. 04430 Ciudad de México (Mexico)
2. Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ed. 9, Unidad Profesional Adolfo López Mateos, Delegación Gustavo A. Madero, C.P. 07738 Ciudad de México (Mexico)

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.

• OSTI ID: 22596684
• Journal Information: Journal of Mathematical Physics, Vol. 57, Issue 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENFUNCTIONS
ENERGY SPECTRA
HARMONIC OSCILLATORS
ONE-DIMENSIONAL CALCULATIONS
PARAMETRIC AMPLIFIERS
RELATIVISTIC RANGE
SIMULATION