标题： 具有 $U(1)$ 对称性的分辨纠缠：激发态的一些闭合公式 显示英文标题

标题： Symmetry Resolved Entanglement with $U(1)$ Symmetry: Some Closed Formulae for Excited States

摘要： 在这项工作中，我们重新审视了之前与不同合作者在先前发表的论文中讨论过的问题，即无限体积下零密度激发态的对称分辨纠缠熵的计算。 这些态的电荷矩的普适性已经被以前注意到。 在这里，我们进一步研究了这个问题，通过写出由任意数量的相同激发子集组成的激发态的熵的一般公式。 当初始态用具有适当概率系数的量子比特表示时，我们发现最终的公式也具有组合性质。 我们数值和解析地分析了它们的一些特性，并发现对于由相同电荷粒子组成的量子比特态，对称分辨熵相对于系统大小而言独立于区域大小，即使数目熵和构型熵不是如此。 显示英文摘要

摘要： In this work, we revisit a problem we addressed in previous publications with various collaborators, that is, the computation of the symmetry resolved entanglement entropies of zero-density excited states in infinite volume. The universal nature of the charged moments of these states has already been noted previously. Here, we investigate this problem further, by writing general formulae for the entropies of excited states consisting of an arbitrary number of subsets of identical excitations. When the initial state is written in terms of qubits with appropriate probabilistic coefficients, we find the final formulae to be of a combinatorial nature too. We analyse some of their features numerically and analytically and find that for qubit states consisting of particles of the same charge, the symmetry resolved entropies are independent of region size relative to system size, even if the number and configuration entropies are not.