Wigner–Yanase skew information and quantum phase transition in one-dimensional quantum spin-1/2 chains

The quantum coherence based on Wigner–Yanase skew information and its relations with quantum phase transitions (QPTs) in one-dimensional quantum spin-1/2 chains are studied. Different from those at the critical point (CP) of the Ising transition in the transverse-field XY chain, the single-spin quantum coherence and the two-spin local σz\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma ^z$$\end{document} quantum coherence are extremal at the CP of the anisotropy transition, and the first-order derivatives of the two-spin local σx\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma ^x$$\end{document} and σy\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma ^y$$\end{document} quantum coherence have logarithmic divergence with the chain size. For the QPT between the gapped and gapless phases in the chain with three-spin interactions, however, no finite-size scaling behavior of the derivatives of quantum coherence is found.