Quantum Markov chains on comb graphs: Ising model

DOI10.1134/S0081543821020176zbMath1469.82011arXiv2108.03924OpenAlexW3213665384MaRDI QIDQ2041557

Farrukh Mukhamedov, Tarek Hamdi, Abdessatar Souissi

Publication date: 23 July 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.03924

zbMATH Keywords

clusteringIsing modelquantum Markov chaincomb graph

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Graph theory (05C99)

Related Items (5)

Entropy of quantum Markov states on Cayley trees ⋮ On stopping rules for tree-indexed quantum Markov chains ⋮ Recurrence of a class of quantum Markov chains on trees ⋮ On a \(\psi\)-mixing property for entangled Markov chains ⋮ Tree-homogeneous quantum Markov chains

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
• Model checking quantum Markov chains
• Open quantum random walks
• On quantum Markov chains on Cayley tree. III: Ising model
• On quantum Markov chains on Cayley tree. II: Phase transitions for the associated chain with \(XY\)-model on the Cayley tree of order three
• On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model
• Conditional expectations in von Neumann algebras and a theorem of Takesaki
• Finitely correlated states on quantum spin chains
• Ground states of VBS models on Cayley trees
• The noncommutative Markovian property
• 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
• Limit theorems for open quantum random walks
• Open quantum random walks and quantum Markov chains
• Factors generated by \textit{XY}-model with competing Ising interactions on the Cayley tree
• Quantum Markov chains associated with Open Quantum random walks
• On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II
• ON QUANTUM MARKOV CHAINS ON CAYLEY TREE I: UNIQUENESS OF THE ASSOCIATED CHAIN WITH XY-MODEL ON THE CAYLEY TREE OF ORDER TWO
• QUANTUM MARKOV FIELDS ON GRAPHS
• Renormalization and tensor product states in spin chains and lattices
• Quantum Markov chains: A unification approach
• A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree
• Open quantum random walks, quantum Markov chains and recurrence
• MARKOV STATES AND CHAINS ON THE CAR ALGEBRA
• Uniqueness of Quantum Markov Chain Associated with XY-Ising Model on Cayley Tree of Order Two
• Quantum Markov chains
• Statistics of the Two-Dimensional Ferromagnet. Part II
• Quantum walks and search algorithms
• Open quantum random walks: reducibility, period, ergodic properties

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