Multipartite entanglement measures and quantum criticality from matrix and tensor product states
Multipartite entanglement measures and quantum criticality from matrix and tensor product states
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DOI：
10.1103/physreva.81.032304
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发表时间：
2009-11
影响因子：
2.9
通讯作者：
Ching-Yu Huang;Feng-Li Lin
中科院分区：
文献类型：
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作者：
Ching-Yu Huang;Feng-Li Lin
我们计算了各种一维和二维量子系统的全局纠缠等多方纠缠度量，以探测基于矩阵和张量积态（mps和tps）的量子临界性。我们利用无限时变块抽取（iTEBD）方法，以MPSs和tps的形式数值求出基态，然后用张量重整化群（TRG）方法评估它们的纠缠测度。我们发现这些纠缠度量可以通过它们的导数不连续来表征量子相变在这里考虑的所有模型的临界点。我们还用量子态重整化群变换的思想对纠缠测度的标度行为进行了评述。
We compute the multipartite entanglement measures such as the global entanglement of various one- and two-dimensional quantum systems to probe the quantum criticality based on the matrix and tensor product states (MPSs and TPSs). We use the infinite time-evolving block decimation (iTEBD) method to find the ground states numerically in the form of MPSs and TPSs, and then evaluate their entanglement measures by the method of tensor renormalization group (TRG). We find that these entanglement measures can characterize the quantum phase transitions by their derivative discontinuity right at the critical points in all models considered here. We also comment on the scaling behaviors of the entanglement measures by the ideas of quantum-state renormalization group transformations.