The Abdus Salam International Centre for Theoretical Physics Phase Transitions for Quantum Xy -model on the Cayley Tree of Order Three in Quantum Markov Chain Scheme

نویسندگان

  • Farrukh Mukhamedov
  • Mansoor Saburov
چکیده

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}. MIRAMARE – TRIESTE June 2010 Junior Associate of ICTP. [email protected] [email protected]

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تاریخ انتشار 2010