Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme

Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme

In the present Note 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 the Cayley tree. By means of such constructions we prove the existence of a phase transition for the XY-model on a Cayley...

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Main Authors: Mukhamedov, Farrukh, Saburov, Mansoor
Format: Article
Language:English
Published: Elsevier 2011
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/1611/
http://irep.iium.edu.my/1611/
http://irep.iium.edu.my/1611/
http://irep.iium.edu.my/1611/1/mfms-CRM%282011%29.pdf
id iium-1611
recordtype eprints
spelling iium-16112011-09-05T07:54:41Z http://irep.iium.edu.my/1611/ Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics In the present Note 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 the Cayley tree. By means of such constructions we prove the existence of a phase transition for the XY-model on a Cayley tree of order three in QMC scheme. By the phase transition we mean the existence of two distinct QMC for the given family of interaction operators {K_{x,y}}. Elsevier 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1611/1/mfms-CRM%282011%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2011) Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme. Comptes Rendus Mathematique, 349 (7-8). pp. 425-428. ISSN 1631 - 073X http://www.elsevier.com/wps/find/journaldescription.cws_home/600301/description#description 10.1016/j.crma.2011.02.010
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Saburov, Mansoor
Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme
description In the present Note 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 the Cayley tree. By means of such constructions we prove the existence of a phase transition for the XY-model on a Cayley tree of order three in QMC scheme. By the phase transition we mean the existence of two distinct QMC for the given family of interaction operators {K_{x,y}}.
format Article
author Mukhamedov, Farrukh
Saburov, Mansoor
author_facet Mukhamedov, Farrukh
Saburov, Mansoor
author_sort Mukhamedov, Farrukh
title Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme
title_short Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme
title_full Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme
title_fullStr Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme
title_full_unstemmed Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme
title_sort phase transitions for xy-model on the cayley tree of order three in quantum markov chain scheme
publisher Elsevier
publishDate 2011
url http://irep.iium.edu.my/1611/
http://irep.iium.edu.my/1611/
http://irep.iium.edu.my/1611/
http://irep.iium.edu.my/1611/1/mfms-CRM%282011%29.pdf
first_indexed 2023-09-18T20:09:01Z
last_indexed 2023-09-18T20:09:01Z
_version_ 1777407351725228032

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