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Title: Some properties of correlations of quantum lattice systems in thermal equilibrium

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4921305· OSTI ID:22403147
 [1];  [2]
  1. Institut für Theoretische Physik, ETH Zürich (Switzerland)
  2. Department of Mathematics, University of Warwick, Coventry CV4 7AL (United Kingdom)

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 McBryan and Spencer for the 2D classical XY model.

OSTI ID:
22403147
Journal Information:
Journal of Mathematical Physics, Vol. 56, Issue 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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