A Numerical Perspective on the Jaynes-Cummings Model Wigner Function

Julio C. García Melgarejo, N. Lozano Crisóstomo, J. Jesús Escobedo Alatorre, K. J. Sánchez Pérez, M. Torres Cisneros, E. S. Arroyo Rivera, R. Guzmán Cabrera


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.


Wigner function, Jaynes-cummings model

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