{"paper":{"title":"Entanglement and correlations in fast collective neutrino flavor oscillations","arxiv_id":"2203.02783","primary_cat":"astro-ph.HE","submitted_at":"2022-03-05T17:00:06+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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$t\\propto\\mu^{-1}$, with $\\mu$ proportional to the local neutrino density.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.07,"main_claim_p":0.02,"quantitative":true,"quantitative_p":0.75,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.92,"id":"s2","own":true,"role":"contribution","text":"In this work, we study the full out-of-equilibrium flavor dynamics in simple multi-angle geometries displaying fast oscillations in the mean field linear stability analysis.","hedge":{"p":0.92,"label":"asserted"},"own_p":0.93,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.08,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.92,"interpretation":0.0}},{"i":3,"p":0.89,"id":"s3","own":true,"role":"contribution","text":"Focusing on simple initial conditions, we analyze the production of pair correlations and entanglement in the complete many-body-dynamics as a function of the number $N$ of neutrinos in the system, for up to thousands of neutrinos.","hedge":{"p":0.82,"label":"asserted"},"own_p":0.97,"main_claim_p":0.04,"quantitative":true,"quantitative_p":0.83,"role_probabilities":{"gap":0.0,"method":0.11,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.89,"interpretation":0.0}},{"i":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"Similarly to simpler geometries with only two neutrino beams, we identify three regimes: stable configurations with vanishing flavor oscillations, marginally unstable configurations with evolution occurring on long time scales $\\tau\\approx\\mu^{-1}\\sqrt{N}$, and unstable configurations showing flavor evolution on short time scales $\\tau\\approx\\mu^{-1}\\log(N)$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.12,"quantitative":true,"quantitative_p":0.96,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":5,"p":0.82,"id":"s5","own":true,"role":"interpretation","text":"We present evidence that these fast collective modes are generated by the same dynamical phase transition which leads to the slow bipolar oscillations, establishing a connection between these two phenomena and explaining the difference in their time scales.","hedge":{"p":0.83,"label":"asserted"},"own_p":0.91,"main_claim_p":0.68,"quantitative":false,"quantitative_p":0.32,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.18,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.82}},{"i":6,"p":0.42,"id":"s6","own":true,"role":"future_work","text":"We conclude by discussing a semi-classical approximation which reproduces the entanglement entropy at short to medium time scales and can be potentially useful in situations with more complicated geometries where classical simulation methods starts to become inefficient.","hedge":{"p":0.71,"label":"hedged_possibility"},"own_p":0.88,"main_claim_p":0.17,"quantitative":false,"quantitative_p":0.12,"role_probabilities":{"gap":0.0,"method":0.09,"result":0.13,"background":0.0,"limitation":0.01,"future_work":0.42,"contribution":0.31,"interpretation":0.04}}]},"compiled":{"main_claim":{"p":0.99,"text":"We present evidence that these fast collective modes are generated by the same dynamical phase transition which leads to the slow bipolar oscillations, establishing a connection between these two phenomena and explaining the difference in their time scales.","location":"abstract s5","hedge_strength":{"p":0.83,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe 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