The Markov property for quantum lattice systems is investigated in terms of generalized conditional expectations. General properties of (particular cases of) quantum Markov elds, i.e. quantum Markov processes with multi-dimensional indices, are pointed out. In such a way, deep connections with the KMS boundary condition, as well as phenom- ena of phase transitions and symmetry breaking, naturally emerge.
Accardi, L., Fidaleo, F. (2003). Quantum Markov Fields. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 6(1), 123-138 [10.1142/S0219025703001079].
Quantum Markov Fields
ACCARDI, LUIGI;FIDALEO, FRANCESCO
2003-03-01
Abstract
The Markov property for quantum lattice systems is investigated in terms of generalized conditional expectations. General properties of (particular cases of) quantum Markov elds, i.e. quantum Markov processes with multi-dimensional indices, are pointed out. In such a way, deep connections with the KMS boundary condition, as well as phenom- ena of phase transitions and symmetry breaking, naturally emerge.File in questo prodotto:
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