Uniqueness of Quantum Markov Chain Associated with XY-Ising Model on Cayley Tree of Order Two

DOI10.1142/S123016121750010XzbMath1376.82019MaRDI QIDQ5367544

Soueidy El Gheteb, Farrukh Mukhamedov

Publication date: 20 October 2017

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

zbMATH Keywords

uniquenessCayley treequantum Markov chainXY-Ising model

Mathematics Subject Classification ID

Trees (05C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum stochastic calculus (81S25) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (9)

Diagonalizability of quantum Markov states on trees ⋮ On stopping rules for tree-indexed quantum Markov chains ⋮ Recurrence of a class of quantum Markov chains on trees ⋮ A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree ⋮ Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree ⋮ Clustering property of quantum Markov chain associated to XY-model with competing Ising interactions on the Cayley tree of order two ⋮ Refinement of quantum Markov states on trees ⋮ Factors generated by \textit{XY}-model with competing Ising interactions on the Cayley tree ⋮ Quantum Markov chains on comb graphs: Ising model

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