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Some properties of correlations of quantum lattice systems in thermal equilibrium

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Fröhlich, Jürg and Ueltschi, Daniel (2015) Some properties of correlations of quantum lattice systems in thermal equilibrium. Journal of Mathematical Physics, 56 (5). pp. 1-15. 053302. doi:10.1063/1.4921305

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Official URL: http://dx.doi.org/10.1063/1.4921305

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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 McBryan and Spencer for the 2D classical XY model.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Heisenberg uncertainty principle, Nuclear spin
Journal or Publication Title: Journal of Mathematical Physics
Publisher: American Institute of Physics
ISSN: 0022-2488
Official Date: 26 May 2015
Dates:
DateEvent
26 May 2015Available
29 April 2015Accepted
8 December 2014Submitted
Volume: 56
Number: 5
Number of Pages: 15
Page Range: pp. 1-15
Article Number: 053302
DOI: 10.1063/1.4921305
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access

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