Entanglement in three-flavor collective neutrino oscillations

Extreme conditions present in the interiors of core-collapse supernovae make neutrino-neutrino interactions not only feasible but dominant specific regions, leading to nonlinear evolution neutrino flavor. Results obtained when such collective oscillations are treated mean-field approximation deviate from results using many-body picture because ignored quantum correlations. We first three-flavor calculations oscillations. The entanglement is quantified terms entropy and components polarization vector. propose a qualitative measure flavor-lepton number conserved quantities. find that cases considered work, can be underestimated two-flavor approximation. dependence on mass ordering also investigated. explore mixing eigenstates different orderings.