On Quantum Markov Chains on Cayley tree III: Ising model
Mathematical Physics
2016-01-06 v2 Dynamical Systems
math.MP
Operator Algebras
Abstract
In this paper, we consider the classical Ising model on the Cayley tree of order k and show the existence of the phase transition in the following sense: there exists two quantum Markov states which are not quasi-equivalent. It turns out that the found critical temperature coincides with usual critical temperature.
Cite
@article{arxiv.1311.6545,
title = {On Quantum Markov Chains on Cayley tree III: Ising model},
author = {Luigi Accardi and Farrukh Mukhamedov and Mansoor Saburov},
journal= {arXiv preprint arXiv:1311.6545},
year = {2016}
}
Comments
27 pages