论文标题

由于多体系统中的局部相互作用而引起的纠缠校正

Entanglement correction due to local interactions in many-body systems

论文作者

Cheipesh, Yevheniia, Cevolani, Lorenzo, Kehrein, Stefan

论文摘要

基于流动方程全息法的扰动扩展,计算了对弱和局部相互作用的弱点和局部相互作用fermions的最小和局部相互作用fermions的区域定律的校正。一维情况和二维情况的明确计算(同样是在更高维度上)表明,对互动强度最多$ u^2 $纠缠的非相互作用费物的纠缠熵的领先校正不会改变扩展,但仅会影响领先的对数术语乘以quasipart cuasipart sipue quasipartipe cuasipate sipue quasipate sipue quasipate sipue quasipate sipue quasipart cy quasipate sipue quasipaltipe sipue quasipate sipue。还存在针对该地区法的术语领导。它与$ u^2 $在交互强度上成正比,并与系统大小线性缩放。

The correction to the area law for the bipartite min-entanglement entropy of weakly and locally interacting fermions is calculated based on a perturbative extension of the flow equation holography method. Explicit calculations for the one- and two-dimensional case (and similarly for higher dimensions) show that the leading correction to the entanglement entropy of non-interacting fermions up to $U^2$ in the interaction strength does not change the scaling, but only affects the pre-factor of the leading logarithmic term multiplying it by the quasiparticle residue. A term sub-leading to the area law is also present. It is proportional to $U^2$ in the interaction strength and scales linearly with the system size.

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