Factorization and Criticality in the Anisotropic XY Chain via Correlations

Author(s)

Cakmak, Baris ^[1] ; Karpat, Goektug ^[1] ; Fanchini, Felipe F. ^[1]

Affiliation

^[1] UNESP Univ Estadual Paulista, Fac Ciencias, BR-17033360 Bauru, SP - Brazil

• Document type: Review article
• Source: Entropy; v. 17, n. 2, p. 790-817, 2015.
• Web of Science Citations: 29

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. (AU)

• FAPESP's process: 14/20941-7 - Non-Markovianity in quantum networks
• Grantee: Goktug Karpat
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 08/57856-6 - National Institute of Science and Technology - Quantum Information
• Grantee: Amir Ordacgi Caldeira
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 12/18558-5 - Studying the monogamic relations between entanglement and quantum correlations
• Grantee: Goktug Karpat
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 12/50464-0 - A study of quantum correlations in open quantum systems
• Grantee: Felipe Fernandes Fanchini
• Support Opportunities: Regular Research Grants