摘要翻译：
对于任意d维量子晶格系统，两基态多体波函数之间的保真度映射到具有相同晶格几何的d维经典统计顶点晶格模型的配分函数上。每个晶格位的保真度类似于每个晶格位的自由能，在热力学极限中有很好的定义，可以用来表征模型的相图。我们解释了如何在张量网络算法的背景下计算每个位点的保真度，并通过分析具有横向和平行磁场的二维量子伊辛模型来演示该方法。
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英文标题：
《Ground state fidelity from tensor network representations》
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作者：
Huan-Qiang Zhou, Roman Orus and Guifre Vidal
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Strongly Correlated Electrons        强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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英文摘要：
  For any D-dimensional quantum lattice system, the fidelity between two ground state many-body wave functions is mapped onto the partition function of a D-dimensional classical statistical vertex lattice model with the same lattice geometry. The fidelity per lattice site, analogous to the free energy per site, is well-defined in the thermodynamic limit and can be used to characterize the phase diagram of the model. We explain how to compute the fidelity per site in the context of tensor network algorithms, and demonstrate the approach by analyzing the two-dimensional quantum Ising model with transverse and parallel magnetic fields.
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PDF链接：
https://arxiv.org/pdf/709.4596