{"id":"W2051684182","doi":"10.1103/physrevlett.93.250404","title":"Quantum Phase Transitions and Bipartite Entanglement","year":2004,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":494,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Quantum entanglement; Bipartite graph; Eigenvalues and eigenvectors; Physics; Quantum mechanics; Quantum phase transition; Density matrix; Ground state; Quantum; Matrix (chemical analysis); Spin (aerodynamics); Combinatorics; Mathematics; Materials science","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0000956716,0.0001708465,0.0003216077,0.00002335571,0.00008502613,0.00003177568,0.00009391848,0.000003693644,0.0000996911],"category_scores_gemma":[0.000001701051,0.0001465829,0.0001606886,0.000121341,0.00006697968,0.000132525,0.00002077113,0.0001109685,0.0002172402],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002516934,"about_ca_system_score_gemma":0.00001509026,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005400488,"about_ca_topic_score_gemma":6.925822e-7,"domain_scores_codex":[0.9990382,0.00005064244,0.0002382456,0.0002503323,0.0001741554,0.0002484254],"domain_scores_gemma":[0.9995378,0.00002505393,0.00007738013,0.000223128,0.00001367984,0.0001229141],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00002429639,0.00300484,0.001156446,0.002383661,0.0004662221,0.00004343941,0.001823882,0.0002644899,0.1869217,0.7772146,0.01111664,0.01557979],"study_design_scores_gemma":[0.0339112,0.002262115,0.004562952,0.02866221,0.004378005,0.00006780747,0.001184709,0.0325277,0.02801775,0.07584527,0.7811245,0.007455792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9746106,0.001754954,0.007089864,0.01549106,0.00009172391,0.0005520831,0.00005724351,0.00004160175,0.0003108232],"genre_scores_gemma":[0.995577,0.0001173013,0.0000575909,0.003767317,0.0003477763,0.0000722966,0.00004024803,0.0000171982,0.000003213569],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7700078,"threshold_uncertainty_score":0.5977479,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01736236127174215,"score_gpt":0.3115881976215759,"score_spread":0.2942258363498337,"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."}}