Quantum coherence and uncertainty in the anisotropic XY chain

Author(s)

Karpat, G. ^[1] ; Cakmak, B. ^[2] ; Fanchini, F. F. ^[1]

Affiliation

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

^[2] Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul - Turkey

• Document type: Journal article
• Source: Physical Review B; v. 90, n. 10 SEP 30 2014.
• Web of Science Citations: 69

Abstract

We explore the local quantum coherence and the local quantum uncertainty, based on Wigner-Yanase skew information, in the ground state of the anisotropic spin-1/2 XY chain in a transverse magnetic field. We show that the skew information, as a figure of merit, supplies the necessary information to reveal the occurrence of the second-order phase transition and the completely factorized ground state in the XY model. Additionally, in the same context, we also discuss the usefulness of a simple experimentally friendly lower bound of local quantum coherence. Furthermore, we demonstrate how the connection between the appearance of nonanalyticities in the local quantum uncertainty of the ground state and the quantum phase transitions does not hold in general, by providing explicit examples of the situation. Lastly, we discuss the ability of the local quantum coherence to accurately estimate the critical point of the phase transition, and we investigate the robustness of the factorization phenomenon at low temperatures. (AU)

• 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-Doctorate
• FAPESP's process: 12/50464-0 - A study of quantum correlations in open quantum systems
• Grantee: Felipe Fernandes Fanchini
• Support Opportunities: Regular Research Grants