标题： 非阿贝尔分数量子霍尔态中的对称性分辨纠缠熵 显示英文标题

标题： Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State

摘要： 通过将纠缠分解为不同对称性部分的贡献，对称性解析的纠缠熵提供了一个强大的框架，用于探究量子多体态的内部结构。 在本工作中，我们应用矩阵乘积态技术来研究玻色子非阿贝尔Moore-Read量子霍尔态，从而实现了对完整计数统计和对称性解析的纠缠熵的精确数值评估。 我们的结果揭示了对称性部分之间纠缠的近似均分，这与理论预期一致，并受到有限尺寸修正的影响。 结果还表明，在非阿贝尔态的情况下，这些对称性解析的纠缠熵预期仍然成立，此时拓扑部分仅靠阿贝尔$\mathrm{U}(1)$对称性无法区分，且中性模式和电荷模式具有不同的速度。 我们还对纠缠谱与Li-Haldane猜想的预测进行了详细比较，发现有显著的一致性，并促进了对中性模式和电荷模式速度不同影响的更精确理解。 这不仅为该猜想提供了严格的检验，也突显了其在理解不同对称性部分中有限尺寸效应的起源和结构方面的解释力。 显示英文摘要

摘要： Symmetry-resolved entanglement entropy provides a powerful framework for probing the internal structure of quantum many-body states by decomposing entanglement into contributions from distinct symmetry sectors. In this work, we apply matrix product state techniques to study the bosonic, non-Abelian Moore-Read quantum Hall state, enabling precise numerical evaluation of both the full counting statistics and symmetry-resolved entanglement entropies. Our results reveal an approximate equipartition of entanglement among symmetry sectors, consistent with theoretical expectations and subject to finite-size corrections. The results also show that these expectations for symmetry-resolved entanglement entropy remain valid in the case of a non-Abelian state where the topological sectors cannot be distinguished by the Abelian $\mathrm{U}(1)$ symmetry alone, and where neutral and charged modes possess distinct velocities. We additionally perform a detailed comparison of the entanglement spectrum with predictions from the Li-Haldane conjecture, finding remarkable agreement, and enabling a more precise understanding of the effects of the distinct neutral and charged velocities. This not only provides a stringent test of the conjecture but also highlights its explanatory power in understanding the origin and structure of finite-size effects across different symmetry sectors.