Phase transitions for quantum Markov chains associated with ising type models on a Cayley tree

• Main Authors: Mukhamedov, Farrukh, Barhoumi, Abdessatar, Souissi, Abdessatar
• Format: Article
• Language: English
• Published: Springer International Publishing AG 2016
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/50295/1/mfabas-JSP%282016%29.pdf; http://irep.iium.edu.my/50295/; http://link.springer.com/article/10.1007/s10955-016-1495-y

The main aim of the present paper is to prove the existence of a phase transition in quantum Markov chain (QMC) scheme for the Ising type models on a Cayley tree. Note that this kind of models do not have one-dimensional analogous, i.e. the considered model persists only on trees. In this paper,...