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Finite-temperature scaling of quantum coherence near criticality in a spin chain

机译:自旋链中接近临界的量子相干的有限温度标度

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摘要

We explore quantum coherence, inherited from Wigner-Yanase skew information, to analyze quantum criticality in the anisotropic XY chain model at finite temperature. Based on the exact solutions of the Hamiltonian, the quantum coherence contained in a nearest-neighbor spin pairs reduced density matrix p is obtained. The first -order derivative of the quantum coherence is non-analytic around the critical point at sufficient low temperature. The finite-temperature scaling behavior and the universality are verified numerically. In particular, the quantum coherence can also detect the factorization transition in such a model at sufficient low temperature. We also show that quantum coherence contained in distant spin pairs can characterize quantum criticality and factorization phenomena at finite temperature. Our results imply that quantum coherence can serve as an efficient indicator of quantum criticality in such a model and shed considerable light on the relationships between quantum phase transitions and quantum information theory at finite temperature.
机译:我们探索从Wigner-Yanase偏斜信息继承的量子相干性,以分析有限温度下各向异性XY链模型中的量子临界性。基于哈密顿量的精确解,获得了最近邻自旋对降密度矩阵p中包含的量子相干性。量子相干的一阶导数在足够低的温度下在临界点附近无法解析。数值验证了有限温度结垢行为和通用性。特别地,量子相干还可以在足够低的温度下检测这种模型中的因式分解。我们还表明,远距离自旋对中包含的量子相干性可以表征有限温度下的量子临界性和分解现象。我们的结果表明,量子相干性可以作为这种模型中量子临界性的有效指标,并且在有限温度下为量子相变与量子信息理论之间的关系提供了可观的启示。

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