QUANTUM MARKOV FIELDS
Luigi AccardiCentro Interdisciplinare Vito Volterra, II Università di Roma "Tor Vergata", Via di Tor Vergata, 00133 Roma, ItalyFrancesco FidaleoDipartimento di Matematica and Centro Interdisciplinare Vito Volterra, II Università di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy
2003en
ABI
Abstract
The Markov property for quantum lattice systems is investigated in terms of generalized conditional expectations. General properties of (particular cases of) quantum Markov fields, 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 phenomena of phase transitions and symmetry breaking, naturally emerge.
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Cited by 20 references