标题： 富集多重分形的迁移率边和里德伯原子阵列中的涌现量子相 显示英文标题

标题： Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays

摘要： 安德森局域描述了由无序引起的相变，区分了局域态和扩展态。 在准周期系统中，出现了一种第三种多分形态，其特点是独特的能量和波函数。 然而，相应的多分形增强的迁移率边和三态共存的量子相尚未被实验检测到。 在本工作中，我们提出了精确可解的一维准周期晶格模型，这些模型同时包含三态共存的量子相，其相边界通过阿维拉的全局定理进行解析推导。 此外，我们提出了通过里德伯原子阵列实现这些态的实验协议。 值得注意的是，我们展示了一种光谱技术，能够在实空间和对偶空间域中测量逆参与比，从而能够同时表征具有多达数十个量子比特的系统中的局域、扩展和多分形量子相。 我们的工作为人工量子系统中安德森局域和多分形态的实验探索开辟了新途径。 显示英文摘要

摘要： Anderson localization describes disorder-induced phase transitions, distinguishing between localized and extended states. In quasiperiodic systems, a third multifractal state emerges, characterized by unique energy and wave functions. However, the corresponding multifractal-enriched mobility edges and three-state-coexisting quantum phases have yet to be experimentally detected. In this work, we propose exactly-solvable one-dimensional quasiperiodic lattice models that simultaneously host three-state-coexisting quantum phases, with their phase boundaries analytically derived via Avila's global theorem. Furthermore, we propose experimental protocols via Rydberg atom arrays to realize these states. Notably, we demonstrate a spectroscopic technique capable of measuring inverse participation ratios across real-space and dual-space domains, enabling simultaneous characterization of localized, extended, and multifractal quantum phases in systems with up to tens of qubits. Our work opens new avenues for the experimental exploration of Anderson localization and multifractal states in artificial quantum systems.