2014/04/30 by G. Karpat, Göktuğ Karpat, Barış Çakmak +2 · 232 citations
Computer Science · Physics and Astronomy · #Classical XY model #Coherence (philosophical gambling strategy) #Phase transition #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum critical point #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum state #Skew #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physrevb.90.104431
published in Physical Review B 90(10) (American Physical Society) · 7 pages, 6 figures. Title changed. Close to published version
arxiv created 2014/09/30 · openalex publication_date 2014/09/30 · arxiv updated 2014/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.