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

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Submission date: 15. Feb. 2017
Pages: 7
published in: Science in China : physics, mechanics and astronomy, 60 (2017) 3, art-no. 030311 
DOI number (of the published article): 10.1007/s11433-016-0425-x
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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 λ = 1. When λ ≤ 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.