Quantum coherence and uncertainty in the anisotropic XY chain

G. Karpat, B. Çakmak, and F. F. Fanchini
Phys. Rev. B 90, 104431 – Published 30 September 2014

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.

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  • Received 2 July 2014

DOI:https://doi.org/10.1103/PhysRevB.90.104431

©2014 American Physical Society

Authors & Affiliations

G. Karpat1, B. Çakmak2, and F. F. Fanchini1,*

  • 1Faculdade de Ciências, UNESP–Universidade Estadual Paulista, Bauru, SP 17033-360, Brazil
  • 2Faculty of Engineering and Natural Sciences, Sabanci University, Tuzla, Istanbul 34956, Turkey

  • *fanchini@fc.unesp.br

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Vol. 90, Iss. 10 — 1 September 2014

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