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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| 格式: | 文件 |
| 语言: | English |
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Elsevier
2011
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| 在线阅读: | http://irep.iium.edu.my/1611/1/mfms-CRM%282011%29.pdf |
| _version_ | 1825644211148423168 |
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| author | Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet | Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort | Mukhamedov, Farrukh |
| collection | IIUM |
| 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}}. |
| first_indexed | 2024-03-05T22:29:38Z |
| format | Article |
| id | oai:generic.eprints.org:1611 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:29:38Z |
| publishDate | 2011 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme |
| title | 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_short | 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 |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1611/1/mfms-CRM%282011%29.pdf |
| work_keys_str_mv | AT mukhamedovfarrukh phasetransitionsforxymodelonthecayleytreeoforderthreeinquantummarkovchainscheme AT saburovmansoor phasetransitionsforxymodelonthecayleytreeoforderthreeinquantummarkovchainscheme |