{"paper":{"title":"Entanglement Entropy and Full Counting Statistics for $2d$-Rotating Trapped Fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Bertrand Lacroix-A-Chez-Toine, Gregory Schehr, Satya N. Majumdar","submitted_at":"2018-09-16T08:19:18Z","abstract_excerpt":"We consider $N$ non-interacting fermions in a $2d$ harmonic potential of trapping frequency $\\omega$ and in a rotating frame at angular frequency $\\Omega$, with $0<\\omega - \\Omega\\ll \\omega$. At zero temperature, the fermions are in the non-degenerate lowest Landau level and their positions are in one to one correspondence with the eigenvalues of an $N\\times N$ complex Ginibre matrix. For large $N$, the fermion density is uniform over the disk of radius $\\sqrt{N}$ centered at the origin and vanishes outside this disk. We compute exactly, for any finite $N$, the R\\'enyi entanglement entropy of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05835","kind":"arxiv","version":1},"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"}