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This research proposes novel experimental methods to detect ergodicity-breaking transitions in many-body quantum systems by analyzing the binary intrinsic dimension and network topology of wavefunction snapshots. By identifying specific signatures like submaximal BID and scale-free connectivity, the study offers a way to probe quantum dynamics directly from projective measurements without relying on predefined observables. These findings provide critical tools for distinguishing between ergodic, critical, and nonergodic regimes in complex quantum experiments.
Many-body ergodicity breaking from wavefunction snapshots
arXiv:2608.21524v1 Announce Type: new Abstract: 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.
Abstract: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.
Quantum Physics (quant-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el)
arXiv:2608.21524 [quant-ph]
(or arXiv:2608.21524v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2608.21524 arXiv-issued DOI via DataCite (pending registration)
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