Many-body effects of collective neutrino oscillations

Collective neutrino oscillations are critical to determine the flavor content, which has striking impacts on core-collapse supernovae or compact binary merger remnants. It is a challenging many-body problem that so far been mainly studied at mean-field approximation. We use setup captures relevant physics and allows exact solution for large number of neutrinos. We, first time, find quantitative deviation from evolution due decoherence in space. Similar features have observed spin-1 Bose-Einstein condensate, opens possibility experimental explorations collective phenomena. Our results call more careful examinations possible corrections astrophysical environments.