{"paper":{"title":"Wave Function and Strange Correlator of Short Range Entangled states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Alex Rasmussen, Cenke Xu, Kevin Slagle, Yi-Zhuang You, Zhen Bi","submitted_at":"2013-12-02T21:11:16Z","abstract_excerpt":"We demonstrate the following conclusion: If $|\\Psi\\rangle$ is a $1d$ or $2d$ nontrivial short range entangled state, and $|\\Omega \\rangle$ is a trivial disordered state defined on the same Hilbert space, then the following quantity (so called strange correlator) $C(r, r^\\prime) = \\frac{\\langle \\Omega|\\phi(r) \\phi(r^\\prime) | \\Psi\\rangle}{\\langle \\Omega| \\Psi\\rangle}$ either saturates to a constant or decays as a power-law in the limit $|r - r^\\prime| \\rightarrow +\\infty$, even though both $| \\Omega\\rangle$ and $| \\Psi\\rangle$ are quantum disordered states with short-range correlation. $\\phi(r)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0626","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}