多体遍历性破缺的波函数快照研究
Many-body ergodicity breaking from wavefunction snapshots
AI总结：
该研究利用多体波函数快照的二进制固有维数与波函数网络拓扑特征，区分遍历、临界、非遍历区域，为实验探测多体遍历性破缺提供了可及方法。
AI中文摘要：
现代量子实验可通过投影测量探测多体波函数，获取单个多体构型的快照。一个核心问题是，测量分布的内在结构能否揭示超出预定义可观测量的量子动力学。本文针对多体遍历性破缺相变，利用非平衡波函数快照的两个互补特征：其二进制固有维数（BID）和基于汉明距离构建的波函数网络拓扑，解决该问题。研究表明，临界点具有广延但非极大的BID，以及具有高度连接枢纽的无标度网络连通性。这些特征可区分遍历、临界和非遍历区域，为从投影测量快照中探测遍历性破缺提供了实验可及的手段。
英文摘要：
Modern quantum experiments can probe many-body wavefunctions through projective measurements, providing snapshots of individual many-body configurations. A fundamental question is whether the intrinsic structure of their measurement distributions can reveal quantum dynamics beyond predefined observables. Here, we address this question at the many-body ergodicity-breaking transition using two complementary characteristics of nonequilibrium wavefunction snapshots: their binary intrinsic dimension (BID) and the topology of wavefunction networks constructed from Hamming distances. We show that the critical point is characterized by an extensive but submaximal BID, and scale-free network connectivity with highly connected hubs. These signatures distinguish the ergodic, critical, and nonergodic regimes, and provide experimentally accessible probes of ergodicity breaking from projective measurement snapshots.
