7 papers
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…
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…
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…
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…
Hybrid quantum-classical matrix-product state and Lanczos methods for electron-phonon systems with strong electronic correlations: Application to disordered systems coupled to Einstein phonons
Heiko Georg Menzler, Suman Mondal, Fabian Heidrich-Meisner
We present two quantum-classical hybrid methods for simulating the time-dependence of electron-phonon systems that treat electronic correlations numerically exactly and optical-pho…
Graph theory and tunable slow dynamics in quantum East Hamiltonians
Heiko Georg Menzler, Mari Carmen Bañuls, Fabian Heidrich-Meisner
We show how graph theory concepts can provide an insight into the origin of slow dynamics in systems with kinetic constraints. In particular, we observe that slow dynamics is relat…