On Quantum Markov Chains on Cayley Tree III: Ising Model |
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| Authors: | Luigi Accardi Farrukh Mukhamedov Mansoor Saburov |
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| Affiliation: | 1. Centro Interdisciplinare Vito Volterra, II Università di Roma “Tor Vergata”, Via Columbia 2, 00133?, Roma, Italy
2. Department of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P. O. Box 141, 25710?, Kuantan, Pahang, Malaysia
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| Abstract: | In this paper, we consider the classical Ising model on the Cayley tree of order (k) ( (kge 2) ), and show the existence of the phase transition in the following sense: there exists two quantum Markov states which are not quasi-equivalent. It turns out that the found critical temperature coincides with the classical critical temperature. |
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