Uniqueness of Gibbs states of a quantum system on graphs

DOI10.1016/S0034-4877(07)80064-4zbMath1158.81364arXivmath-ph/0609046OpenAlexW2020417465MaRDI QIDQ1002129

Dorota Kepa, Yuri V. Kozitskij

Publication date: 24 February 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0609046

zbMATH Keywords

random potentialsquantum Gibbs statealmost sure uniquenessinteracting quantum particles

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Statistical thermodynamics (82B30)

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Cites Work

• Periodic Gaussian Osterwalder-Schrader positive processes and the two- sided Markov property on the circle
• Gibbs measures and phase transitions
• Ground state Euclidean measures for quantum lattice systems on compact manifolds.
• Uniqueness problem for quantum lattice systems with compact spins.
• Uniqueness of a Gibes Field with Random Potential—An Elementary Approach