Entropy of entanglement between quantum phases of a three-level matter-radiation interaction model

TL;DR

This paper investigates how the entropy of entanglement varies across quantum phase transitions in a finite system of three-level atoms interacting with a single electromagnetic mode, revealing sensitivity to phase changes.

Contribution

It introduces a detailed analysis of entanglement entropy in three-level atom systems, considering different atomic configurations and their relation to quantum phase transitions.

Findings

Entropy of entanglement is sensitive to phase transitions.

Different atomic configurations ({}, {} and V) show distinct entanglement behaviors.

The study provides insights into quantum critical phenomena in matter-radiation systems.

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 ({\Xi}, {\Lambda} and V ) of the three-level atoms.