Local quantum Fisher information and quantum correlation in the mixed-spin Heisenberg XXZ chain

IF 6.5 2区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Frontiers of Physics Pub Date : 2023-12-07 DOI:10.1007/s11467-023-1336-9

Peng-Fei Wei, Qi Luo, Huang-Qiu-Chen Wang, Shao-Jie Xiong, Bo Liu, Zhe Sun

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Abstract

We study the local quantum Fisher information (LQFI) in the mixed-spin Heisenberg XXZ chain. Both the maximal and minimal LQFI are studied and the former is essential to determine the accuracy of the quantum parameter estimation, the latter can be well used to characterize the discord-type quantum correlations. We investigate the effects of the temperature and the anisotropy parameter on the maximal LQFI and thus on the accuracy of the parameter estimation. Then we make use of the minimal LQFI to study the discord-type correlations of different site pairs. Different dimensions of the subsystems cause different values of the minimal LQFI which reflects the asymmetry of the discord-type correlation. In addition, the site pairs at different positions of the spin chains have different minimal LQFI, which reveals the influence of the surrounding spins on the bipartite quantum correlation. Our results show that the LQFI obtained through a simple calculation process provides a convenient way to investigate the discord-type correlation in high-dimensional systems.

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混合自旋海森堡 XXZ 链中的局部量子费雪信息和量子相关性

我们研究了混合自旋海森堡 XXZ 链中的局部量子费雪信息（LQFI）。我们研究了最大和最小 LQFI，前者对于确定量子参数估计的准确性至关重要，后者可以很好地用于描述丢弃型量子关联。我们研究了温度和各向异性参数对最大 LQFI 的影响，以及对参数估计精度的影响。然后，我们利用最小 LQFI 来研究不同位点对的丢弃型相关性。子系统的不同维度会导致最小 LQFI 值的不同，而最小 LQFI 值则反映了磁盘类型相关性的不对称性。此外，位于自旋链不同位置的位点对具有不同的最小 LQFI，这揭示了周围自旋对双位点量子相关性的影响。我们的结果表明，通过简单计算过程获得的 LQFI 为研究高维系统中的盘型相关性提供了一种便捷的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Frontiers of Physics PHYSICS, MULTIDISCIPLINARY-

CiteScore

9.20

自引率

9.30%

发文量

898

审稿时长

6-12 weeks

期刊介绍： Frontiers of Physics is an international peer-reviewed journal dedicated to showcasing the latest advancements and significant progress in various research areas within the field of physics. The journal's scope is broad, covering a range of topics that include: Quantum computation and quantum information Atomic, molecular, and optical physics Condensed matter physics, material sciences, and interdisciplinary research Particle, nuclear physics, astrophysics, and cosmology The journal's mission is to highlight frontier achievements, hot topics, and cross-disciplinary points in physics, facilitating communication and idea exchange among physicists both in China and internationally. It serves as a platform for researchers to share their findings and insights, fostering collaboration and innovation across different areas of physics.