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 $$\sigma ^z$$?z quantum coherence are extremal at the CP of the anisotropy transition, and the first-order derivatives of the two-spin local $$\sigma ^x$$?x and $$\sigma ^y$$?y 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.