超对称模型中的面积律破坏
Area law violations in a supersymmetric model
摘要：
本文研究了费米子超对称晶格模型中某些类型的具有淬火无序的装饰图上的纠缠结构。特别地，我们构造了受超对称性和希尔伯特空间选择保护的可控基态简并模型。我们表明，在某些特殊的限制，这些简并基态与本地杂质，并存在一个基础的基态流形中的每个基本元素满足边界律的纠缠熵。另一方面，通过考虑这些局域基态的非相干混合或相干叠加，我们可以找到在很宽的长度尺度范围内违反纠缠熵边界定律的区域。更一般地说，我们讨论了各种desiderata构建违反边界法的纠缠熵和讨论我们的工作可能的关系，最近的全息研究。
英文摘要：
We study the structure of entanglement in a supersymmetric lattice model of fermions on certain types of decorated graphs with quenched disorder. In particular, we construct models with controllable ground state degeneracy protected by supersymmetry and the choice of Hilbert space. We show that in certain special limits these degenerate ground states are associated with local impurities and that there exists a basis of the ground state manifold in which every basis element satisfies a boundary law for entanglement entropy. On the other hand, by considering incoherent mixtures or coherent superpositions of these localized ground states, we can find regions that violate the boundary law for entanglement entropy over a wide range of length scales. More generally, we discuss various desiderata for constructing violations of the boundary law for entanglement entropy and discuss possible relations of our work to recent holographic studies.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
