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Correlation Inequalities for the Quantum XY Model

We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths–Ginibre inequalities of the second kind generalise an earlier result of Gallavotti.

Detalles Bibliográficos
Autores principales: Benassi, Costanza, Lees, Benjamin, Ueltschi, Daniel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977339/
https://www.ncbi.nlm.nih.gov/pubmed/27546905
http://dx.doi.org/10.1007/s10955-016-1580-2
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author Benassi, Costanza
Lees, Benjamin
Ueltschi, Daniel
author_facet Benassi, Costanza
Lees, Benjamin
Ueltschi, Daniel
author_sort Benassi, Costanza
collection PubMed
description We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths–Ginibre inequalities of the second kind generalise an earlier result of Gallavotti.
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spelling pubmed-49773392016-08-18 Correlation Inequalities for the Quantum XY Model Benassi, Costanza Lees, Benjamin Ueltschi, Daniel J Stat Phys Article We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths–Ginibre inequalities of the second kind generalise an earlier result of Gallavotti. Springer US 2016-07-11 2016 /pmc/articles/PMC4977339/ /pubmed/27546905 http://dx.doi.org/10.1007/s10955-016-1580-2 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Benassi, Costanza
Lees, Benjamin
Ueltschi, Daniel
Correlation Inequalities for the Quantum XY Model
title Correlation Inequalities for the Quantum XY Model
title_full Correlation Inequalities for the Quantum XY Model
title_fullStr Correlation Inequalities for the Quantum XY Model
title_full_unstemmed Correlation Inequalities for the Quantum XY Model
title_short Correlation Inequalities for the Quantum XY Model
title_sort correlation inequalities for the quantum xy model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977339/
https://www.ncbi.nlm.nih.gov/pubmed/27546905
http://dx.doi.org/10.1007/s10955-016-1580-2
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