# Supplemental material for "Dispelling a myth on dense neutrino media: fast pairwise conversions depend on energy" (arXiv eprint: 2007.07926)

Authors: Shashank Shalgar and Irene Tamborra

The density matrices of neutrinos and antineutrinos, $\rho$ and $\bar{\rho}$, can be alternatively written in terms of polarization vectors in the two-flavor approximation ($P$ and $\bar{P}$): $$\rho = \frac{1}{2}\left(1+\vec{P}\cdot\vec{\sigma}\right),$$ where $\vec{\sigma}$ are the Pauli matrices. The movies display the evolution of the angular distributions of neutrinos and antineutrinos (on the left) and the evolution of the angle-integrated polarization vectors (on the right) for three different scenarios. We have fixed the initial length of the neutrino polarization vector to $1$ and the initial length of the antineutrino polarization vector to $1/2$ for the ease of viewing.

## Evolution of the electron neutrino and antineutrino angular distributions and polarization vectors for $\Delta m^{2} = 2.5\times 10^{-6}$ eV$^{2}$ (normal ordering).

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## Evolution of the electron neutrino and antineutrino angular distributions and polarization vectors for $\Delta m^{2} = 2.5\times 10^{-3}$ eV$^{2}$ (normal ordering).

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## Evolution of the electron neutrino and antineutrino angular distributions and polarization vectors for $\Delta m^{2} = -2.5\times 10^{-3}$ eV$^{2}$ (inverted ordering).

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Please cite the paper if you use the videos in your talk or in any other academic setting.
If you face technical difficulties in accessing the movies or if you wish to discuss the physics behind the simulations, please feel free to contact the authors.