Unlabeled quantum graph ensembles exhibit sharp thermodynamic transitions (diverging specific heat) in free and ferromagnetic Ising models, while labeled ensembles do not.
This phase transition is associated with the emergence of a connected component in the excited state that includes almost all vertices
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Dynamical Quantum Multigraphs
Unlabeled quantum graph ensembles exhibit sharp thermodynamic transitions (diverging specific heat) in free and ferromagnetic Ising models, while labeled ensembles do not.