Uniqueness of quantum Markov chains associated with an \(XY\)-model on a Cayley tree of order 2

DOI10.1134/S0001434611070170zbMath1245.82018OpenAlexW2124607263MaRDI QIDQ764026

M. Kh. Saburov, Luigi Accardi, Farrukh Mukhamedov

Publication date: 13 March 2012

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611070170

zbMATH Keywords

graphphase transitiondynamical systemCayley treequasilocal algebraGibbs statequantum Markov chainXY-modelquasiconditional expectation

Mathematics Subject Classification ID

Random fields (60G60) Discrete-time Markov processes on general state spaces (60J05) Nonlinear ordinary differential equations and systems (34A34) Fixed-point theorems (47H10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

Phase transitions for quantum Markov chains associated with Ising type models 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

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