QUANTUM MARKOV FIELDS-Reference-Cited by-同舟云学术

QUANTUM MARKOV FIELDS

Published:2003-03 Issue:01 Volume:06 Page:123-138
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ACCARDI LUIGI¹,FIDALEO FRANCESCO²

Affiliation:

1. Centro Interdisciplinare Vito Volterra, II Università di Roma "Tor Vergata", Via di Tor Vergata, 00133 Roma, Italy

2. Dipartimento di Matematica and Centro Interdisciplinare Vito Volterra, II Università di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025703001079

Reference26 articles.

1. Local perturbations of conditional expectations

2. Conditional expectations in von Neumann algebras and a theorem of Takesaki

3. MARKOVIAN KMS-STATES FOR ONE-DIMENSIONAL SPIN CHAINS

4. Compact Convex Sets and Boundary Integrals

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