Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz
Quantum Physics
2026-05-06 v1 Statistical Mechanics
Abstract
We construct exact eigenstates of quantum many-body systems with Hamiltonians that are not frustration-free in matrix product form, based on a local error cancellation ansatz motivated by the Derrida-Evans-Hakim-Pasquier method for finding the stationary state of the asymmetric simple exclusion process. We demonstrate the approach with explicit examples in both one and two spatial dimensions.
Cite
@article{arxiv.2605.03020,
title = {Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz},
author = {Sascha Gehrmann and Fabian H. L. Essler},
journal= {arXiv preprint arXiv:2605.03020},
year = {2026}
}