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One-way quantum deficit and quantum coherence in the anisotropic XY chain
Biao-Liang Ye, Bo Li, Li-Jun Zhao, Hai-Jun Zhang and Shao-Ming Fei
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 $\lambda\le1$, 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.