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Multipartite nonlocality and global quantum discord in the antiferromagnetic Lipkin-Meshkov-Glick model
Physica B: Condensed Matter ( IF 2.8 ) Pub Date : 2020-06-10 , DOI: 10.1016/j.physb.2020.412297
Jia Bao , Bin Guo , Yan-Hong Liu , Long-Hui Shen , Zhao-Yu Sun

We have investigated the multipartite nonlocality and global quantum discord (GQD) in the antiferromagnetic Lipkin-Meshkov-Glick (LMG) model. We find that nonlocality and GQD can indicate quantum phase transitions by singular behaviors. The results also show that GQD always behaves a linear growth with log10N in the LMG model, which is different from linear scaling in one-dimensional chains. And this scaling behavior is not affected by anisotropic parameter γ. Moreover, the nonlocality (denoted by S) is discovered to scale as log10S|haN+b for the transverse-field LMG model (i.e., γ=0). However, scaling behaviors can be well fitted by formula S|h=a1N+b for the LMG model with γ>0. By comparing the results of GQD and nonlocality, we have observed that nonlocality decreases but GQD increases as the size of the system grows. These results indicate that γ has a significant influence on the nonlocality and GQD in the LMG model.



中文翻译:

反铁磁Lipkin-Meshkov-Glick模型中的多部分非局部性和全局量子不和谐

我们已经研究了反铁磁Lipkin-Meshkov-Glick(LMG)模型中的多部分非局部性和全局量子不一致性(GQD)。我们发现非局部性和GQD可以通过奇异行为指示量子相变。结果还表明,GQD始终表现为线性增长日志10ñ在LMG模型中,它不同于一维链中的线性缩放。而且这种缩放行为不受各向异性参数的影响γ。此外,非本地性(用小号)被发现按比例缩放 日志10小号|H一种ñ+b 对于横向场LMG模型(即, γ=0)。但是,缩放行为可以通过公式很好地拟合小号|H=一种1个ñ+b 用于LMG模型 γ>0。通过比较GQD和非局部性的结果,我们观察到非局部性会减少,但GQD会随着系统规模的增长而增加。这些结果表明γ 对LMG模型中的非局部性和GQD具有重大影响。

更新日期:2020-06-10
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