论文标题
CFT中激发态的对称解析的纠缠熵
Symmetry resolved entanglement entropy of excited states in a CFT
论文作者
论文摘要
我们报告了与内部u（1）对称性对称性磁场理论（CFT）的低较低原发性激发状态中与不同对称部门相关的纠缠熵的整个分析。我们的发现扩大了基态的最新结果。我们得出了带电矩的一般表达式，即通用累积生成函数，可以用操作员的相关函数编写，该功能通过CFT操作员状态对应关系定义状态。我们为顶点和衍生激发的紧凑型玻色子CFT（又称Luttinger液体）提供明确的分析计算。带电矩的傅立叶变换给出了所需的对称性熵。按照领先的顺序，他们满足了纠缠等电气，就像在基础状态下一样，但是我们在CFT中发现了打破它的统一术语。我们的分析结果是根据晶格上的免费费米子计算检查的，找到了极好的一致性。作为副产品，我们在被考虑的激发态中的U（1）电荷的完整计数统计数据中获得了确切的结果。
We report a throughout analysis of the entanglement entropies related to different symmetry sectors in the low-lying primary excited states of a conformal field theory (CFT) with an internal U(1) symmetry. Our findings extend recent results for the ground state. We derive a general expression for the charged moments, i.e. the generalised cumulant generating function, which can be written in terms of correlation functions of the operator that define the state through the CFT operator-state correspondence. We provide explicit analytic computations for the compact boson CFT (aka Luttinger liquid) for the vertex and derivative excitations. The Fourier transform of the charged moments gives the desired symmetry resolved entropies. At the leading order, they satisfy entanglement equipartition, as in the ground state, but we find, within CFT, subleading terms that break it. Our analytical findings are checked against free fermions calculations on a lattice, finding excellent agreement. As a byproduct, we have exact results for the full counting statistics of the U(1) charge in the considered excited states.
