Finite-size geometric entanglement from tensor network algorithms
Finite-size geometric entanglement from tensor network algorithms
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DOI：
10.1088/1367-2630/12/2/025008
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发表时间：
2009-01
影响因子：
3.3
通讯作者：
Q. Shi;R. Orús;J. O. Fjærestad;Huan-Qiang Zhou
中科院分区：
文献类型：
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作者：
Q. Shi;R. Orús;J. O. Fjærestad;Huan-Qiang Zhou
在新发展的张量网络算法的背景下，研究了有限系统的全局几何纠缠。对于一维量子自旋系统，发现在临界状态下，对每个格点的全局GE的有限尺寸修正表现为B/n，其中n是系统的尺寸，B是给定的系数.我们的结论是基于对横向磁场中的量子伊辛模型和自旋为1/2XXZ模型的每自旋GE的计算。我们还讨论了系数B具有普适性的可能性。
The global geometric entanglement (GE) is studied in the context of newly developed tensor network algorithms for finite systems. For one-dimensional quantum spin systems it is found that, at criticality, the leading finite-size correction to the global GE per site behaves as b/n, where n is the size of the system and b a given coefficient. Our conclusion is based on the computation of the GE per spin for the quantum Ising model in a transverse magnetic field and for the spin-1/2 XXZ model. We also discuss the possibility of coefficient b being universal.