Purification and uniqueness of quantum Gibbs states

DOI10.1007/BF02102020zbMath0802.60094OpenAlexW1977872443MaRDI QIDQ1328202

Taku Matsui

Publication date: 15 December 1994

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

Full work available at URL: https://doi.org/10.1007/bf02102020

zbMATH Keywords

HamiltonianspurificationDobrushin's uniqueness conditionuniqueness of Gibbs statesergodicity of Markov semigroupsquantum spin models on lattices

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items

The spectral gap for some spin chains with discrete symmetry breaking ⋮ Ergodicity of quantum cellular automata.

Cites Work

• The logarithmic Sobolev inequality for discrete spin systems on a lattice
• Quantum detailed balance and KMS condition
• MARKOV SEMIGROUPS ON UHF ALGEBRAS
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