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On the equivalence of the KMS condition and the variational principle for quantum lattice systems with mean-field interactions

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Autor(es):
Bru, J-B ; de Siqueira Pedra, W. ; Yamaguti Miada, S.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Advances in Theoretical and Mathematical Physics; v. 26, n. 9, p. 53-pg., 2022-01-01.
Resumo

We extend Araki's well-known results on the equivalence of the KMS condition and the variational principle for equilibrin 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 Heninen's work on equilibrium states for mean-field models. The extension was made possible by our recent outcomes on states mninizing the free energy density of mean-field models on the lattice, as well as on the infinite volume dynamics for such models. (AU)

Processo FAPESP: 17/22340-9 - Métodos construtivos para férmions interagentes com aplicações a teoria microscópica da condutividade e supercondutividade
Beneficiário:Walter Alberto de Siqueira Pedra
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional