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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
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 | ||||||||
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| Subjects: | Q Science > QC Physics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Science > Physics |
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| 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: |
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| 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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