MiS Preprint Repository

We investigate pairwise non-classical correlations measured by one-way quantum deficit as well as quantum coherence in the $XY$ spin-1/2 chain in a transverse magnetic field for both zero and finite temperatures. Analytical and numerical results are presented. In the case of zero temperature, it is exhibited that one-way quantum deficit can characterize quantum phase transition as well as quantum coherence. We find that these measures have obviously the critical point at $\lambda =1$. When $\lambda \le 1$, one-way quantum deficit has analytical expression which coincides with relative entropy of coherence. We also study $XX$ model and Ising chain in the finite temperature.