Uniqueness and clustering properties of Gibbs states for classical and quantum unbounded spin systems.

DOI10.1007/BF02178359zbMath1081.82510MaRDI QIDQ1593255

Hyun Jae Yoo, Yong Moon Park

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Wiener integralGibbs statescluster expansionprobability estimatesclustering propertyquantum unbounded spin systems

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (12)

A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES ⋮ Euclidean Gibbs measures on loop lattices: existence and a priori estimates. ⋮ Existence and a priori estimates for Euclidean Gibbs states ⋮ High-temperature cluster expansion for classical and quantum spin lattice systems with multi-body interactions ⋮ Gaussian concentration bound and ensemble equivalence in generic quantum many-body systems including long-range interactions ⋮ A phase transition in a quenched amorphous ferromagnet ⋮ A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree ⋮ Clustering property of quantum Markov chain associated to XY-model with competing Ising interactions on the Cayley tree of order two ⋮ Thermalization and pseudolocality in extended quantum systems ⋮ GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS ⋮ EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS ⋮ Stochastically positive structures on Weyl algebras. The case of quasi-free states

Cites Work

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