Entropy of entanglement between quantum phases of a three-level matter-radiation interaction model. (arXiv:1712.01889v1 [quant-ph])

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.

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