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20242026
most citedKrylov Delocalization/Localization across Ergodicity Breaking

23 citations · 27 across the 7 of their papers we have counts for

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quant-ph2026

Krylov Edge Spectroscopy of Symmetry-Protected Topological Phases

Heiko Georg Menzler, Rishabh Jha

We introduce , a many-body operator-space protocol for detecting and classifying one-dimensional symmetry-protected topological phases from local boun…

quant-ph2026

Identifying slow relaxation in many-body quantum systems through state-graph geometry and state-graph heterogeneity

Heiko Georg Menzler, Tom Ben-Ami

We adapt tools from the theory of quantum random walks to investigate slow relaxation dynamics through the many-body state graph. Specifically, we construct a probe of heterogeneit…

quant-ph2026

Graph-theory measures capture weak ergodicity breaking on large quantum systems

Heiko Georg Menzler, Rafał Świętek, Mari Carmen Bañuls +1

We study the onset of weak ergodicity violations in closed quantum many-body systems and focus on cases in which they occur through a transition that is controlled by a model param…

quant-ph2026

Long-Range Pairing in the Kitaev Model: Krylov Subspace Signatures

Rishabh Jha, Heiko Georg Menzler

Krylov subspace methods quantify operator growth in quantum many-body systems through Lanczos coefficients that encode how operators spread under time evolution. Although these dia…

quant-ph2024★ 23 cited

Krylov Delocalization/Localization across Ergodicity Breaking

Heiko Georg Menzler, Rishabh Jha

Krylov complexity has recently gained attention where the growth of operator complexity in time is measured in terms of the off-diagonal operator Lanczos coefficients. The operator…