Multipartite Nonlocality of Finite and Infinite Transverse-Field Ising Model,Physica Status Solidi (B) - Basic Solid State Physics

当前位置： X-MOL 学术 › Phys. Status Solidi B › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Multipartite Nonlocality of Finite and Infinite Transverse-Field Ising Model
Physica Status Solidi (B) - Basic Solid State Physics ( IF 1.5 ) Pub Date : 2021-04-29 , DOI: 10.1002/pssb.202100079
Yanhong Liu ₁ , Jia Bao ₁ , Bin Guo ₁ , Zhaoyu Sun ₂

Affiliation

The multipartite nonlocality of finite and infinite transverse-field Ising model is investigated. For the finite chain, the exact diagonalization method is used to study the multipartite nonlocality at zero and finite temperatures. It is found that the logarithm of nonlocality S presents the linear relationship with the chain length of N at zero temperature. The multipartite nonlocality S shows a peak value near the phase transition point, which can be used to characterize the quantum phase transition of the Ising model. The inherent physical mechanics is that the nonlocality S captures the effect of low-lying states with a small energy gap. The nonlocality S at the finite temperature is also observed to be scaled as log₂ S ≈ aN + b at any fixed magnetic field B, where a and b are fitting parameters. For the infinite chain, the thermal tensor network algorithm is used to examine the multipartite nonlocality. The behaviors of nonlocality S of the infinite chain at the finite temperature are similar to those of finite chain. Compared with the finite chain, the positions of the peak values of the multipartite nonlocality shift to the larger magnetic field, and the peak values are smaller than those of finite chain.

中文翻译：

有限和无限横场Ising模型的多部分非定域性

研究了有限和无限横向场Ising模型的多部分非局域性。对于有限链，采用精确对角化方法研究零和有限温度下的多部分非定域性。发现非定域性S的对数在零温度下与N的链长呈线性关系。多部分非定域性S在相变点附近出现一个峰值，可以用来表征 Ising 模型的量子相变。固有的物理力学是非局域性S捕获具有小能隙的低洼状态的影响。非定域性S在有限温度下，也观察到在任何固定磁场B下缩放为 log ₂ S ≈ aN + b，其中a和b是拟合参数。对于无限链，使用热张量网络算法来检查多部分非局部性。无限链的非定域性S在有限温度下的行为与有限链相似。与有限链相比，多部分非定域性的峰值位置向更大的磁场偏移，且峰值小于有限链。

更新日期：2021-04-29

点击分享查看原文

点击收藏

阅读更多本刊最新论文