Universal quantum correlation close to quantum critical phenomena

We study the ground state quantum correlation of Ising model in a transverse field (ITF) by implementing the quantum renormalization group (QRG) theory. It is shown that various quantum correlation measures and the Clauser-Horne-Shimony-Holt inequality will highlight the critical point related with...

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Main Authors:	Qin, Meng, Ren, Zhong-Zhou, Zhang, Xin
Format:	Online
Language:	English
Published:	Nature Publishing Group 2016
Online Access:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4870697/

id	pubmed-4870697
recordtype	oai_dc
spelling	pubmed-48706972016-06-01 Universal quantum correlation close to quantum critical phenomena Qin, Meng Ren, Zhong-Zhou Zhang, Xin Article We study the ground state quantum correlation of Ising model in a transverse field (ITF) by implementing the quantum renormalization group (QRG) theory. It is shown that various quantum correlation measures and the Clauser-Horne-Shimony-Holt inequality will highlight the critical point related with quantum phase transitions, and demonstrate nonanalytic phenomena and scaling behavior when the size of the systems becomes large. Our results also indicate a universal behavior of the critical exponent of ITF under QRG theory that the critical exponent of different measures is identical, even when the quantities vary from entanglement measures to quantum correlation measures. This means that the two kinds of quantum correlation criterion including the entanglement-separability paradigm and the information-theoretic paradigm have some connections between them. These remarkable behaviors may have important implications on condensed matter physics because the critical exponent directly associates with the correlation length exponent. Nature Publishing Group 2016-05-18 /pmc/articles/PMC4870697/ /pubmed/27189504 http://dx.doi.org/10.1038/srep26042 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
repository_type	Open Access Journal
institution_category	Foreign Institution
institution	US National Center for Biotechnology Information
building	NCBI PubMed
collection	Online Access
language	English
format	Online
author	Qin, Meng Ren, Zhong-Zhou Zhang, Xin
spellingShingle	Qin, Meng Ren, Zhong-Zhou Zhang, Xin Universal quantum correlation close to quantum critical phenomena
author_facet	Qin, Meng Ren, Zhong-Zhou Zhang, Xin
author_sort	Qin, Meng
title	Universal quantum correlation close to quantum critical phenomena
title_short	Universal quantum correlation close to quantum critical phenomena
title_full	Universal quantum correlation close to quantum critical phenomena
title_fullStr	Universal quantum correlation close to quantum critical phenomena
title_full_unstemmed	Universal quantum correlation close to quantum critical phenomena
title_sort	universal quantum correlation close to quantum critical phenomena
description	We study the ground state quantum correlation of Ising model in a transverse field (ITF) by implementing the quantum renormalization group (QRG) theory. It is shown that various quantum correlation measures and the Clauser-Horne-Shimony-Holt inequality will highlight the critical point related with quantum phase transitions, and demonstrate nonanalytic phenomena and scaling behavior when the size of the systems becomes large. Our results also indicate a universal behavior of the critical exponent of ITF under QRG theory that the critical exponent of different measures is identical, even when the quantities vary from entanglement measures to quantum correlation measures. This means that the two kinds of quantum correlation criterion including the entanglement-separability paradigm and the information-theoretic paradigm have some connections between them. These remarkable behaviors may have important implications on condensed matter physics because the critical exponent directly associates with the correlation length exponent.
publisher	Nature Publishing Group
publishDate	2016
url	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4870697/
_version_	1613580658623381504

Universal quantum correlation close to quantum critical phenomena

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