Session S30 - Mathematical Methods in Quantum Mechanics

Monday, July 19, 18:30 ~ 18:55 UTC-3

On the Equivalence of the KMS Condition and the Variational Principle for Quantum Lattice Systems with Mean-Field Interactions

Walter de Siqueira Pedra

University of São Paulo, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We extended Araki's result 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 lattice 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.

Joint work with Jean-Bernard Bru (Ikerbasque and BCAM, Spain) and Rafael Sussumu Yamaguti Miada (University of São Paulo, Brazil).

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