On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree

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On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree

In the present paper, we study forward quantum Markov chains (QMC) defined on a Cayley tree. Using the tree structure of graphs, we give a construction of quantum Markov chains on a Cayley tree. By means of such constructions we prove the existence of a phase transition for the XY -model on a Cayle...

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Bibliographic Details
Main Authors:	Accardi, Luigi, Mukhamedov, Farrukh, Saburov, Mansoor
Format:	Article
Language:	English
Published:	Birkhaeuser Verlag AG 2011
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/1817/ http://irep.iium.edu.my/1817/1/acmfms-AHP%282011%29.pdf

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