标题： 平方格子海森堡模型中的精确价键固态疤痕 显示英文标题

标题： Exact Valence-Bond Solid Scars in the Square-Lattice Heisenberg Model

摘要： 我们证明自旋-s的正方晶格海森堡模型具有精确的多体疤痕。这些疤痕是具有精确零能量的简单价键固体，并且存在于偶数乘偶数系统和宽度为2的梯子中。梯子还有额外的疤痕，对应于在父价键固体疤痕之上注入一个或两个磁振子。这些疤痕具有非常简单的物理起源，仅基于角动量代数以及价键内自旋反平行引起的抵消。我们的全面精确对角化计算表明，除了谱顶附近的少数磁振子态外，我们的价键固体涵盖了海森堡模型中的所有精确本征态。我们的疤痕很有趣，因为它们不属于塔结构，具有面积律纠缠，破坏平移对称性，并且存在于所有自旋的海森堡模型中。 显示英文摘要

摘要： We show that the spin-s square-lattice Heisenberg model has exact many-body scars. These scars are simple valence-bond solids with exactly zero energy, and they exist in even-by-even systems and ladders of width 2. Ladders have additional scars corresponding to injecting one or two magnons on top of a parent valence-bond solid scar. These scars have a remarkably simple physical origin based only the angular momentum algebra and cancellations from spin-antialignment within a valence bond. Our comprehensive exact diagonalization calculations suggest that our valence-bond solids exhaust all exact eigenstates in the Heisenberg model except for few-magnon states near the top of the spectrum. Our scars are interesting because they are not part of a tower, have area-law entanglement, break translation symmetry, and exist for Heisenberg models of all spin.