216 citations
- Centre National de la Recherche ScientifiqueFR29 papers
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Showing 2019 · math-phShow all
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math-ph2019★ 22 cited
Quantum Markov States on Cayley trees
Farrukh Mukhamedov, Abdessatar Souissi
It is known that any locally faithful quantum Markov state (QMS) on one dimensional setting can be considered as a Gibbs state associated with Hamiltonian with commuting nearest-ne…
math-ph2019★ 17 cited
Phase Transitions for quantum Ising model with competing XY -interactions on a Cayley tree
Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi +1
The main aim of the present paper is to establish the existence of a phase transition for the quantum Ising model with competing XY interactions within the quantum Markov chain (QM…