Entanglement scaling and spatial correlations of the transverse-field Ising model with perturbations
Entanglement scaling and spatial correlations of the transverse-field Ising model with perturbations
复制标题
扰动横向场伊辛模型的纠缠尺度和空间相关性
DOI：
10.1103/physrevb.95.214410
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发表时间：
2017
影响因子：
3.7
通讯作者：
Cole R
中科院分区：
文献类型：
--
作者：
Cole R
本文研究了三种不同扰动下一维横场Ising模型的纠缠熵和空间相关性。首先，我们关注的是有能量电流通过系统的非平衡稳态。采用多种基于矩阵积态的方法，确定了相图并计算了纠缠熵。其次，我们考虑一个使系统远离可积性的小扰动，并计算相关性、中心电荷和纠缠熵。第三，我们考虑周期性弱键，首先探索弱键和强键交替（周期两个键）时的相图和纠缠性质，然后是一个周期的键的一般情况。在后一种情况下，我们发现一个临界弱键，它与横向场成比例，其中强键的强度为弱键的强度，为横向场的强度。我们明确地表明，在这种情况下，能量电流不是一个守恒量。
We study numerically the entanglement entropy and spatial correlations of the one-dimensional transverse-field Ising model with three different perturbations. First, we focus on the out-of-equilibrium steady state with an energy current passing through the system. By employing a variety of matrix-product state based methods, we confirm the phase diagram and compute the entanglement entropy. Second, we consider a small perturbation that takes the system away from integrability and calculate the correlations, the central charge, and the entanglement entropy. Third, we consider periodically weakened bonds, exploring the phase diagram and entanglement properties first in the situation when the weak and strong bonds alternate (period two bonds) and then the general situation of a period ofbonds. In the latter case we find a critical weak bond that scales with the transverse field as, whereis the strength of the strong bond,is that of the weak bond, andis the transverse field. We explicitly show that the energy current is not a conserved quantity in this case.