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- W73764265 abstract "In this work, we construct a quantum Markov chain (QMC) associated by the classical Ising modelwith competing interactions on the Cayley tree of order two. In the construction QMC is defined as aweak limit of finite volume states on quasi-local algebras with boundary conditions. We point out thatphase transitions in a quantum setting play an important role to understand quantum spin systemsWe have defined a notion of phase transition in QMC scheme. Namely, such a notion is based on thequasi-equivalence of QMC. Therefore, such a phase transition is purely non-commutative. In this workwe establish the existence of the phase transition in the following sense: there exists two quantumMarkov states which are not quasi-equivalent. It turns out that the found critical temperature coincideswith usual critical temperature." @default.
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- W73764265 date "2014-08-23" @default.
- W73764265 modified "2023-09-26" @default.
- W73764265 title "Quantum phase transition for Ising type models on a Cayley tree of order two" @default.
- W73764265 hasPublicationYear "2014" @default.
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