We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
19/2017
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
Abstract
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.
