Entropy of Entanglement between Quantum Phases of a Three-Level Matter-Radiation Interaction Model

Luis Fernando Quezada; Eduardo Nahmad-Achar

doi:10.3390/e20020072

Entropy of Entanglement between Quantum Phases of a Three-Level Matter-Radiation Interaction Model

Entropy (Basel). 2018 Jan 24;20(2):72. doi: 10.3390/e20020072.

Authors

Luis Fernando Quezada¹, Eduardo Nahmad-Achar¹

Affiliation

¹ Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510 Mexico City, Mexico.

Abstract

We show that the entropy of entanglement is sensitive to the coherent quantum phase transition between normal and super-radiant regions of a system of a finite number of three-level atoms interacting in a dipolar approximation with a one-mode electromagnetic field. The atoms are treated as semi-distinguishable using different cooperation numbers and representations of SU(3), variables which are relevant to the sensitivity of the entropy with the transition. The results are computed for all three possible configurations ( Ξ , Λ and V) of the three-level atoms.

Keywords: cooperation number; entropy of entanglement; matter-radiation interaction; quantum phase transition; representation theory; residual entropy.