Uniqueness of Gibbs states for quantum lattice systems

DOI10.1007/s004400050107zbMath0883.60094OpenAlexW2046636589MaRDI QIDQ1360693

Michael Roeckner, T. V. Tsykalenko, Yuri G. Kondratiev, Sergio A. Albeverio

Publication date: 23 July 1997

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004400050107

zbMATH Keywords

Dobrushin's uniqueness criterionGibbs statesquantum lattice systemsLog-Sobolev inequalityconditional distributions with boundary conditions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dirichlet forms (31C25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Applications of quantum theory to specific physical systems (81V99) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

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