Gibbs measure as quantum ground states

DOI10.1007/BF02097657zbMath0708.60102MaRDI QIDQ920491

Elsie Sterbin Gottlieb

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum spin systemsGibbs measurestochastic Ising modelsexponentially fast convergence of stochastic models to invariant states

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (3)

Remarks on duality of 1 dimensional quantum spin models ⋮ ON NON-COMMUTATIVE RUELLE TRANSFER OPERATOR ⋮ A Characterization of Pure Finitely Correlated States

Cites Work

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• Uniqueness of the translationally invariant ground state in quantum spin systems
• Rapid convergence to equilibrium in one dimensional stochastic Ising models
• Ground states of quantum spin systems
• A link between quantum and classical Potts models
• Quantum Heisenberg ferromagnets and stochastic exclusion processes
• Some problems related to Gibbs states, canonical Gibbs states and Markovian time evolutions

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