Geometric entanglement from matrix product state representations

Geometric entanglement from matrix product state representations
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矩阵乘积状态表示的几何纠缠

DOI:
10.1088/1367-2630/13/9/093041
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发表时间:
2011-06
影响因子:
3.3
通讯作者:
Zhou, Huan-Qiang
Zhou, Huan-Qiang
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Hu, Bing-Quan;Liu, Jin-Hua;Liu, Xi-Jing;Zhou, Huan-Qiang

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基于矩阵乘积态表示的张量网络算法,提出了一种计算有限长周期链上量子多体系统每格点几何纠缠的有效方案.它已被系统地测试了三个原型的临界量子自旋链,这属于相同的伊辛普适类。模拟结果有力地支持了先前的主张(Shi et al 2010 New J. Phys. 12 025008; Stéphan et al 2010 Phys. Rev. B 82 180406 R),即对每个晶格位置的GE的主要有限尺寸校正是普遍的,其与对应于共形不变边界条件的著名的阿弗莱克-路德维希边界熵的显着联系。
An efficient scheme for computing the geometric entanglement (GE) per lattice site for quantum many-body systems on a periodic finite-size chain is proposed in the context of a tensor network algorithm based on matrix product state representations. It has been systematically tested for three prototypical critical quantum spin chains, which belong to the same Ising universality class. The simulation results lend strong support to the previous claim (Shi et al 2010 New J. Phys. 12 025008; Stéphan et al 2010 Phys. Rev. B 82 180406R) that the leading finite-size correction to the GE per lattice site is universal, with its remarkable connection to the celebrated Affleck–Ludwig boundary entropy corresponding to a conformally invariant boundary condition.
DOI: 10.1016/0378-4371(82)90217-5
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