准周期性富集多尺度动力学边缘与 Rydberg 原子阵列中的新兴量子相
摘要
Anderson 局域化描述了无序引起的相变，区分局域态和延拓态。在准周期系统中，出现第三种准局域态，具有独特的能量和波函数。然而，相应的准周期性富集动力学边缘和三相共存量子相尚未被实验检测到。 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.
引用
@article{arxiv.2501.07866,
title = {Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays},
author = {Shan-Zhong Li and Yi-Cai Zhang and Yucheng Wang and Shanchao Zhang and Shi-Liang Zhu and Zhi Li},
journal= {arXiv preprint arXiv:2501.07866},
year = {2025}
}
备注
5+22 pages, 3+16 figures