The open supersymmetric Haldane–Shastry spin chain and its associated motifs

We extend Araki’s well-known results on the equivalence of the KMS condition and the variational principle for equilibrium states of quantum lattice systems with short-range interactions, to a large class of models possibly containing mean-field interactions (representing an extreme form of long-range interactions). This result is reminiscent of van Hemmen’s work on equilibrium states for mean-field models. The extension was made possible by our recent outcomes on states minimizing the free energy density of mean-field models on the lattice, as well as on the infinite volume dynamics for such models.

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This work was partially supported by Spain’s Ministerio de Ciencia, Innovación y Universidades under grant PGC2018-094898-B-I00, as well as by Universidad Complutense de Madrid under grant G/6400100/3000.

Published 30 October 2023