带隙 XYZ 自旋 - $\frac{1}{2}$ 链中的纠缠不对称性
Entanglement asymmetry in the gapped XYZ spin-$\frac12$ chain
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中文总结 AI 辅助
研究相互作用的 XYZ 链在带隙、破缺 $U(1)$ 相中大区间的 Rényi 纠缠不对称性，结合电荷矩恒等式、非守恒和规则及 Baxter - Johnson - Krinsky - McCoy 解，通过密度矩阵重整化群模拟重现主公式。
中文摘要 AI 辅助
纠缠不对称性衡量子系统内对称性破缺的强度。目前平衡态下的解析结果涵盖自由理论以及微扰下的临界 XXZ 链。我们计算了相互作用的 XYZ 链在带隙、破缺 $U(1)$ 相中大区间的 Rényi 纠缠不对称性。计算结合了三个要素：一个电荷矩恒等式（我们针对费米子高斯态和单射矩阵乘积基态证明）将不对称性与破缺电荷的静态磁化率联系起来；一个非守恒和规则通过正弦 - 戈登形状因子评估磁化率，其二扭结和单呼吸子通道给出通用振幅的下限；Baxter - Johnson - Krinsky - McCoy 解提供不同耦合下的扭结质量。基于这些质量的无限系统密度矩阵重整化群模拟重现了主公式。
英文摘要
The entanglement asymmetry measures how strongly a symmetry is broken inside a subsystem. Analytic results at equilibrium have so far covered free theories and, perturbatively, the critical XXZ chain. We compute the Rényi entanglement asymmetries of a large interval in the gapped, $U(1)$-breaking phase of the interacting XYZ chain. The calculation combines three ingredients. A charged-moment identity, which we prove for fermionic Gaussian and for injective matrix-product ground states, ties the asymmetry to the static susceptibility of the broken charge. A non-conservation sum rule then evaluates the susceptibility from sine-Gordon form factors, its two-kink and one-breather channels providing a lower bound on the universal amplitude. The Baxter--Johnson--Krinsky--McCoy solution supplies the kink mass for different couplings. Infinite-system density-matrix renormalization group simulations built on these masses reproduce the master formula.
