论文标题

一维自旋1/2 $ xy $链中的远程多部分量子相关性和分解

Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain

论文作者

Su, Lin-Lin, Ren, Jun, Wang, Z. D., Bai, Yan-Kui

论文摘要

我们研究了一维自旋1/2 $ xy $链中多部分量子相关性(MQC)的性质,其中三旋链降低的状态集中在侧重于,而引入的四个MQC测量是基于纠缠的负性和形成的纠缠。已经发现,即使在Ising情况下,三旋链链子系统也具有远距离MQC,而三方量子的相关性超出了最近的邻居三个旋转,也可以检测到量子相变并遵守临界点周围的有限尺寸缩放。此外,在$ XY $模型中,我们表明,两个选定的MQC可以准确地指示热力学和有限大小的情况下各向异性模型的基态的分解点。此外,基于纠缠否定性的MQC的空间分布可以通过调整各向异性参数来达到更大的范围,并且基于形成纠缠的新定义的MQC可以检测到纠缠效应的效果时,可以检测到三翼子系统中的边界纠缠。

We study the properties of multipartite quantum correlation (MQC) in a one-dimensional spin-1/2 $XY$ chain, where the three-spin reduced states are focused on and the four introduced MQC measures are based on entanglement negativity and entanglement of formation. It is found that, even in the Ising case, the three-spin subsystems have the long-range MQCs and the tripartite quantum correlations beyond the nearest-neighbor three spins can detect the quantum phase transition and obey the finite-size scaling around the critical point. Furthermore, in the $XY$ model, we show that the two selected MQCs can indicate exactly the factorization point of the ground state for the anisotropic model in the thermodynamic and finite-size cases. Moreover, the spatial distribution of MQC based on entanglement negativity can attain to a much larger range by tuning the anisotropic parameter, and the newly defined MQC based on entanglement of formation can detect the bound entanglement in the three-spin subsystems when the entanglement negativity loses its efficacy.

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