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Entropy 2015, 17(2), 790-817; doi:10.3390/e17020790

Factorization and Criticality in the Anisotropic XY Chain via Correlations

Faculdade de Ciências, UNESP - Universidade Estadual Paulista, Bauru, SP, 17033-360, Brazil
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Received: 29 December 2014 / Accepted: 30 January 2015 / Published: 9 February 2015
(This article belongs to the Special Issue Entanglement Entropy)
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Abstract

In this review, we discuss the zero and finite temperature behavior of various bipartite quantum and total correlation measures, the skew information-based quantum coherence and the local quantum uncertainty in the thermal ground state of the one-dimensional anisotropic XY model in a transverse magnetic field. We compare the ability of the considered measures to correctly detect or estimate the quantum critical point and the non-trivial factorization point possessed by the spin chain. View Full-Text
Keywords: XY spin chain; quantum phase transitions; quantum correlations; total correlations; quantum coherence; Wigner–Yanase skew information XY spin chain; quantum phase transitions; quantum correlations; total correlations; quantum coherence; Wigner–Yanase skew information
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Çakmak, B.; Karpat, G.; Fanchini, F.F. Factorization and Criticality in the Anisotropic XY Chain via Correlations. Entropy 2015, 17, 790-817.

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