Free-fermion spectral structure enables strange nonchaotic attractor classification in Aubry-Andre-Harper quantum reservoirs

Quantum Physics arXiv:2609.26825 (quant-ph) [Submitted on 20 Sep 2026] Title:Free-fermion spectral structure enables strange nonchaotic attractor classification in Aubry-Andre-Harper quantum reservoirs Authors:Suresh Kumarasamy, Dianavinnarasi Joseph, Manish Dev Shrimali, Awadhesh Prasad View a PDF of the paper titled Free-fermion spectral structure enables strange nonchaotic attractor classification in Aubry-Andre-Harper quantum reservoirs, by Suresh Kumarasamy and 3 other authors View PDF HTML (experimental) Abstract:An Aubry-André-Harper (AAH) quantum reservoir classifies strange nonchaotic attractors (SNAs) against chaos, substantially outperforming reservoirs built from dense random matrices on the full Fock space. Ablations and controlled interventions identify \emph{free-fermion one-body transition sparsity}, rather than proximity to a quantum phase transition, as the dominant factor under our controls, since $H_0$ is quadratic in fermion operators and only $N(N-1)2^{N-2}=3584$ of the $65{,}280$ Fock-space transitions carry weight. Random on-site disorder, which preserves this quadratic structure, matches AAH accuracy, whereas full-Hilbert-space random matrices and eigenvector permutations, which break it, collapse to the random baseline. We characterize the resulting frequency-selective filtering with a Hamiltonian transition kernel, validate it to $N=8$ qubits, and reproduce it in a second dynamical system. We also use the reservoir as a training-free screen for strange-nonchaotic structure in Kepler RR Lyrae light curves. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2609.26825 [quant-ph] (or arXiv:2609.26825v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2609.26825 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Suresh Kumarasamy [view email] [v1] Sun, 20 Sep 2026 15:43:49 UTC (2,532 KB) Full-text links: Access Paper: View a PDF of the paper titled Free-fermion spectral structure enables strange nonchaotic attractor classification in Aubry-Andre-Harper quantum reservoirs, by Suresh Kumarasamy and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-09 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?)