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...
| Principais autores: | , , |
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| Formato: | Artigo |
| Idioma: | English |
| Publicado em: |
Birkhaeuser Verlag AG
2011
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| Assuntos: | |
| Acesso em linha: | http://irep.iium.edu.my/1817/1/acmfms-AHP%282011%29.pdf |
| _version_ | 1825644243112165376 |
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| author | Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet | Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort | Accardi, Luigi |
| collection | IIUM |
| description | 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 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}}. |
| first_indexed | 2024-03-05T22:30:04Z |
| format | Article |
| id | oai:generic.eprints.org:1817 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:30:04Z |
| publishDate | 2011 |
| publisher | Birkhaeuser Verlag AG |
| record_format | dspace |
| spelling | oai:generic.eprints.org:18172014-06-11T03:29:11Z http://irep.iium.edu.my/1817/ On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics 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 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}}. Birkhaeuser Verlag AG 2011-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1817/1/acmfms-AHP%282011%29.pdf Accardi, Luigi and Mukhamedov, Farrukh and Saburov, Mansoor (2011) On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree. Annales Henri Poincare, 12 (6). pp. 1109-1144. ISSN 1424-0637 http://link.springer.com/article/10.1007%2Fs00023-011-0107-2 10.1007/s00023-011-0107-2 |
| spellingShingle | QA Mathematics Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree |
| title | On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree
|
| title_full | 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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| title_fullStr | On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree
|
| title_full_unstemmed | On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree
|
| title_short | On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree
|
| title_sort | on quantum markov chains on cayley tree ii phase transitions for the associated chain with xy model on the cayley tree of order tree |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1817/1/acmfms-AHP%282011%29.pdf |
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