  We show that the spectral split of a neutrino ensemble which initially
consists of electron type neutrinos, is analogous to the BCS-BEC crossover
already observed in ultra cold atomic gas experiments. Such a neutrino ensemble
mimics the deleptonization burst of a core collapse supernova. Although these
two phenomena belong to very different domains of physics, the propagation of
neutrinos from highly interacting inner regions of the supernova to the vacuum
is reminiscent of the evolution of Cooper pairs between weak and strong
interaction regimes during the crossover. The Hamiltonians and the
corresponding many-body states undergo very similar transformations if one
replaces the pair quasispin of the latter with the neutrino isospin of the
former.
