{"paper":{"title":"Highly Entangled Quantum Spin Chains on Fermat's Spiral","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Olai B. Mykland, Zhao Zhang","submitted_at":"2025-06-02T18:00:00Z","abstract_excerpt":"We investigate the entanglement entropy (EE) and spectral gap properties of highly entangled spin chains arranged along a Hamiltonian path on a two-dimensional (2D) lattice with geometries reminiscent of Fermat's spiral. Interpreting the interactions along the spin chain as the strongly anisotropic limit of a 2D model, with couplings oriented along different directions in different quadrants, we construct an exactly solvable ground state (GS) that exhibits volume scaling of EE across bipartition through the center in any direction. This provides another mechanism for realizing 2D GSs with loca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02103","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.02103/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}