{"id":"W2955561886","doi":"10.1088/1742-5468/ab3787","title":"Free-Fermion entanglement and orthogonal polynomials","year":2019,"lang":"en","type":"article","venue":"Journal of Statistical Mechanics Theory and Experiment","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":45,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; Centre de Recherches Mathématiques","keywords":"Quantum entanglement; Tridiagonal matrix; Kravchuk polynomials; Orthogonal polynomials; Algebraic number; Operator (biology); Hamiltonian (control theory); Homogeneous; Hermite polynomials","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009815792,0.0001403358,0.0003092361,0.00005169176,0.00005925462,0.00005419871,0.0001045041,0.00003087673,0.0006488972],"category_scores_gemma":[0.00002195976,0.0001094691,0.00004809101,0.00002747481,0.00002788382,0.0001025215,0.00009563982,0.0001380472,0.000008444352],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002684761,"about_ca_system_score_gemma":0.00003592926,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006440439,"about_ca_topic_score_gemma":1.545344e-7,"domain_scores_codex":[0.9987905,0.0001909229,0.0004503343,0.0001482422,0.0002375027,0.0001824881],"domain_scores_gemma":[0.9990953,0.0002993614,0.0002455178,0.0001353284,0.00004966704,0.0001748915],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002404198,0.00009959599,0.000313307,0.00001751151,0.00009309653,0.000006975172,0.0003670718,0.000001609811,0.02020393,0.9756188,0.0002184284,0.002819215],"study_design_scores_gemma":[0.00256386,0.001335703,0.0003058086,0.0001459068,0.00009615806,0.00005475902,0.004276885,0.001516414,0.0273113,0.9599255,0.002153606,0.0003141256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8376337,0.0005207775,0.1602236,0.0000922669,0.0005787692,0.0002041909,0.0001046743,0.000004699873,0.0006372471],"genre_scores_gemma":[0.9981542,0.00001221898,0.001453917,0.00005464875,0.000222425,0.000004736025,0.000004073676,0.00001278647,0.00008105308],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1605204,"threshold_uncertainty_score":0.7104969,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006510872224543354,"score_gpt":0.2591566623247815,"score_spread":0.2526457901002381,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}