论文标题
纠缠自由的dirac费米斯
Entanglement resolution of free Dirac fermions on a torus
论文作者
论文摘要
每当系统拥有保守的电荷时，密度矩阵就会分解为与每个对称扇区相关的特征空间，我们可以在给定的子空间中访问纠缠熵，称为对称性分析纠缠（SRE）。在这里，我们首先在有限温度和大小的系统中，即在圆环上评估系统中无质量的狄拉克费米子的SRE。然后，我们为狄拉克（Dirac）的动作添加了一个巨大的术语，并将其视为无数理论的扰动。依赖电荷的熵被证明是在领先顺序的所有对称扇区中平均分布的。但是，我们发现跨质量校正均取决于质量和沿圆环的边界条件。我们还根据两个子系统之间的电荷不平衡研究了费米子消极的分辨率。我们还表明，对于这个数量，质量的存在会改变不同失衡领域的平选阶段。
Whenever a system possesses a conserved charge, the density matrix splits into eigenspaces associated to the each symmetry sector and we can access the entanglement entropy in a given subspace, known as symmetry resolved entanglement (SRE). Here, we first evaluate the SRE for massless Dirac fermions in a system at finite temperature and size, i.e. on a torus. Then we add a massive term to the Dirac action and we treat it as a perturbation of the massless theory. The charge-dependent entropies turn out to be equally distributed among all the symmetry sectors at leading order. However, we find subleading corrections which depend both on the mass and on the boundary conditions along the torus. We also study the resolution of the fermionic negativity in terms of the charge imbalance between two subsystems. We show that also for this quantity, the presence of the mass alters the equipartition among the different imbalance sectors at subleading order.
