Symmetry decomposition of relative entropies in conformal field theory
Symmetry decomposition of relative entropies in conformal field theory
复制标题
共形场论中相对熵的对称分解
DOI：
10.1007/jhep07(2021)084
复制
发表时间：
2021
影响因子：
5.4
通讯作者：
Hui Chen
中科院分区：
文献类型：
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作者：
Hui Chen
考虑1+1维自由无质量紧致玻色子共形场理论(CFT)中相对熵的对称性分辨，它呈现出内部的U(1)对称性。我们用复本方法计算了CFT基态一个区间约化密度矩阵之间的各种对称性分辨的Rényi相对熵。通过取复本极限，可以得到对称性分辨的相对熵。我们还将XX自旋链模型作为这种CFT的具体格子实现进行了数值计算。CFT预测与精确的数值计算进行了检验，发现完全一致。
We consider the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) which presents an internal U(1) symmetry. We calculate various symmetry resolved Rényi relative entropies between one interval reduced density matrices of CFT primary states using the replica method. By taking the replica limit, the symmetry resolved relative entropy can be obtained. We also take the XX spin chain model as a concrete lattice realization of this CFT to perform numerical computation. The CFT predictions are tested against exact numerical calculations finding perfect agreement.
四分之一填充哈伯德模型的纠缠熵
DOI：
10.1088/1742-5468/2014/09/p09025
发表时间：
2014
期刊：
Theory and Experiment
影响因子：
--
作者：
Calabrese P
通讯作者：
Calabrese P