High temperature convergence of the KMS boundary conditions: The Bose-Hubbard model on a finite graph

DOI10.1142/S0219199720500352zbMath1469.82004arXiv1904.09128OpenAlexW3042900552MaRDI QIDQ5002164

Zied Ammari, Antsa Ratsimanetrimanana

Publication date: 27 July 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09128

zbMATH Keywords

semiclassical analysisWigner measuresKMS propertyBose-HubbardGolden-Thompson and Bogoliubov inequalities

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (1)

Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs

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