A Numerical Perspective on the Jaynes-Cummings Model Wigner Function

Authors

  • Julio C. García Melgarejo Facultad de Ingeniería Mecánica y Eléctrica, Universidad Autónoma de Coahuila, Torreón
  • N. Lozano Crisóstomo Universidad Autónoma de Coahuila, Facultad de Ingeniería Mecánica y Eléctrica, Torreón
  • J. Jesús Escobedo Alatorre Universidad Autónoma del Estado de Morelos, Centro de Investigación en Ingeniería y Ciencias Aplicadas, Cuernavaca
  • K. J. Sánchez Pérez Instituto Nacional de Astrofísica, Óptica y Electrónica, Tonantzintla
  • M. Torres Cisneros Universidad de Guanajuato, Departamento de Ingeniería Electrónica, Guanajuato
  • E. S. Arroyo Rivera Instituto Nacional de Astrofísica, Óptica y Electrónica, Tonantzintla
  • R. Guzmán Cabrera Universidad de Guanajuato, Departamento de Ingeniería Electrónica, Guanajuato

DOI:

https://doi.org/10.13053/cys-23-3-3136

Keywords:

Wigner function, Jaynes-cummings model

Abstract

The Wigner function appeared to discuss the quantum correction of thermodynamic equilibrium, and it has become a tool for the analysis of quantum systems, especially the harmonic oscillator, which states describe the quantum field in a cavity. We discuss a matrix approach for the computation of the Wigner function. The numerical techniques here discussed are applied to obtain the time-dependent Wigner function of the field for the Jaynes-Cummings Model, which is widely known to describe the fundamental matter-field interactions in aperfect cavity.

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Published

2019-09-25

Issue

Vol. 23 No. 3 (2019): Thematic issue: Computational Linguistics (Guest Editor A. Gelbukh)

Section

Articles

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