Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions

Quantum Physics arXiv:2512.20788 (quant-ph) [Submitted on 23 Dec 2025] Title:Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions Authors:Fartash Chalangari, Anant Vijay Varma, Joonas Keski-Rahkonen, Esa Räsänen View a PDF of the paper titled Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions, by Fartash Chalangari and 3 other authors View PDF HTML (experimental) Abstract:We study finite two-dimensional disordered systems with periodic confinement. At low energies, eigenstates exhibit strong Anderson localization, while at higher energies a subset of states forms variational scars with anisotropic intensity patterns that violate random wave expectations. Scaling theory predicts that all states localize in two dimensions, yet energy-dependent localization lengths and finite system size allow these regimes to coexist. We demonstrate that this coexistence produces distinct, robust signatures in both spatial intensity patterns and spectral statistics that are directly observable in mesoscopic electronic, photonic, and cold atom systems. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.20788 [quant-ph] (or arXiv:2512.20788v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.20788 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Fartash Chalangari [view email] [v1] Tue, 23 Dec 2025 21:35:57 UTC (7,739 KB) Full-text links: Access Paper: View a PDF of the paper titled Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions, by Fartash Chalangari and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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?)