Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree

DOI10.1142/S0219025720500198zbMath1461.46063OpenAlexW3109085470MaRDI QIDQ5150259

Abdessatar Souissi, Farrukh Mukhamedov

Publication date: 10 February 2021

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025720500198

zbMATH Keywords

von Neumann algebraquantum Markov chaininductive limitsfactor type

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Noncommutative probability and statistics (46L53) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Entropy of quantum Markov states on Cayley trees ⋮ On stopping rules for tree-indexed quantum Markov chains ⋮ Absolute continuity of non-homogeneous Gibbs measures of the Ising model on the Cayley tree ⋮ On a \(\psi\)-mixing property for entangled Markov chains ⋮ Refinement of quantum Markov states on trees ⋮ A Class of Quantum Markov Fields on Tree-like Graphs: Ising-type Model on a Husimi Tree ⋮ A mean-field laser quantum master equation

Cites Work

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• Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree
• A practical introduction to tensor networks: Matrix product states and projected entangled pair states
• On quantum Markov chains on Cayley tree. III: Ising model
• Conditional expectations in von Neumann algebras and a theorem of Takesaki
• Finitely correlated states on quantum spin chains
• Gibbs measures and phase transitions
• Markov random fields on an infinite tree
• The noncommutative Markovian property
• Non-homogeneous quantum Markov states and quantum Markov fields
• On a factor associated with the unordered phase of \(\lambda\)-model on a Cayley tree
• On an algebraic property of the disordered phase of the Ising model with competing interactions on a Cayley tree
• Quantum Markov states on Cayley trees
• Clustering property of quantum Markov chain associated to XY-model with competing Ising interactions on the Cayley tree of order two
• On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras
• Factors generated by \textit{XY}-model with competing Ising interactions on the Cayley tree
• On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• Structure of the algebras of some free systems
• FACTORS GENERATED BY C*-FINITELY CORRELATED STATES
• QUANTUM MARKOV FIELDS ON GRAPHS
• Renormalization and tensor product states in spin chains and lattices
• Quantum Markov chains: A unification approach
• MARKOV STATES AND CHAINS ON THE CAR ALGEBRA
• Uniqueness of Quantum Markov Chain Associated with XY-Ising Model on Cayley Tree of Order Two
• A classification of factors

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