Some Properties of Correlations of Quantum Lattice Systems in Thermal Equilibrium
Mathematical Physics
2015-05-28 v2 math.MP
Abstract
Simple proofs of uniqueness of the thermodynamic limit of KMS states and of the decay of equilibrium correlations are presented for a large class of quantum lattice systems at high temperatures. New quantum correlation inequalities for general Heisenberg models are described. Finally, a simplified derivation of a general result on power-law decay of correlations in 2D quantum lattice systems with continuous symmetries is given, extending results of Mc Bryan and Spencer for the 2D classical XY model.
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Cite
@article{arxiv.1412.2534,
title = {Some Properties of Correlations of Quantum Lattice Systems in Thermal Equilibrium},
author = {Juerg Froehlich and Daniel Ueltschi},
journal= {arXiv preprint arXiv:1412.2534},
year = {2015}
}
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15 pages