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Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz

arXiv Quantum Physics
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⚡ Quantum Brief
Physicists Sascha Gehrmann and Fabian Essler introduced a novel method to construct exact quantum many-body eigenstates for non-frustration-free Hamiltonians using a generalized matrix-product ansatz. The approach leverages local error cancellation inspired by the Derrida-Evans-Hakim-Pasquier technique, originally developed for asymmetric exclusion processes, to identify stationary states in complex systems. Researchers demonstrated the method’s validity through explicit examples in both one- and two-dimensional spatial systems, expanding its potential applicability. This work bridges quantum physics and statistical mechanics, offering a framework to study scarred eigenstates—rare, non-thermal states that defy conventional thermalization expectations. The findings, published in May 2026, could advance understanding of quantum dynamics in strongly correlated systems and inform error-mitigation strategies in quantum computing.
Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz

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Quantum Physics arXiv:2605.03020 (quant-ph) [Submitted on 4 May 2026] Title:Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz Authors:Sascha Gehrmann, Fabian H.L. Essler View a PDF of the paper titled Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz, by Sascha Gehrmann and Fabian H.L. Essler View PDF HTML (experimental) 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. Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:2605.03020 [quant-ph] (or arXiv:2605.03020v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.03020 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Sascha Gehrmann [view email] [v1] Mon, 4 May 2026 18:00:11 UTC (25 KB) Full-text links: Access Paper: View a PDF of the paper titled Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz, by Sascha Gehrmann and Fabian H.L. EsslerView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 Change to browse by: cond-mat cond-mat.stat-mech References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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Source: arXiv Quantum Physics