标题： 干扰笼量子多体伤痕：福克空间拓扑局域化和干扰零点 显示英文标题

标题： Interference-caged quantum many-body scars: the Fock space topological localization and interference zeros

摘要： 我们提出了一种实现无热有限能量密度本征态的一般机制——称为干涉笼量子多体疤痕（ICQMBS）——这些本征态源于福克空间图上的精确多体破坏性干涉。 这些本征态严格局限于特定的顶点子集，类似于平坦带系统中的紧凑局域态。 我们框架的核心在于干涉零点与图自同构之间的联系，该联系根据图的局部拓扑对顶点进行分类。 这种联系使得能够构建一类新的拓扑ICQMBS，其鲁棒性来源于福克空间图的局部拓扑，而不是传统的守恒定律或动力学约束。 我们通过开发一种基于图论的搜索算法来证明该框架的有效性，该算法在一种一维自旋-1 XY模型和二维量子链模型的不同规范部分中识别出ICQMBS。 特别是，我们在二维量子链模型中发现了所提出的拓扑ICQMBS，并对之前在希尔伯特空间中观察到的按无序排序现象提供了直观的解释。 我们的结果揭示了图论、平坦带物理和量子多体动力学之间意想不到的协同作用，为非热本征态的结构和稳定性提供了新的见解。 显示英文摘要

摘要： We propose a general mechanism for realizing athermal finite-energy-density eigenstates -- termed interference-caged quantum many-body scars (ICQMBS) -- which originate from exact many-body destructive interference on the Fock space graph. These eigenstates are strictly localized to specific subsets of vertices, analogous to compact localized states in flat-band systems. Central to our framework is a connection between interference zeros and graph automorphisms, which classify vertices according to the graph's local topology. This connection enables the construction of a new class of topological ICQMBS, whose robustness arises from the local topology of the Fock space graph rather than from conventional conservation laws or dynamical constraints. We demonstrate the effectiveness of this framework by developing a graph-theory-based search algorithm, which identifies ICQMBS in both a one-dimensional spin-1 XY model and two-dimensional quantum link models across distinct gauge sectors. In particular, we discover the proposed topological ICQMBS in the two-dimensional quantum link model and provide an intuitive explanation for previously observed order-by-disorder phenomena in Hilbert space. Our results reveal an unexpected synergy between graph theory, flat-band physics, and quantum many-body dynamics, offering new insights into the structure and stability of nonthermal eigenstates.