Speaker
Description
When the neutrinos are at high densities, the neutrino-neutrino coherent forward scattering may lead to collective flavor oscillations. The evolution of these oscillations becomes a time-dependent quantum many-body problem. The computational complexities due to the exponential increase in the Hilbert space with the increase in the number of particles put limitations on how many neutrinos we can consider in our system of interest. To solve this many-body problem for a large number of neutrinos, the mean-field approximation can be quite helpful. However, this approximation does not provide any information on the correlations between neutrinos resulting from the two-body interaction. Therefore, we should seek the other numerical methods based on some approximations but still involve the correlations between neutrinos. In that direction,
we explore the tensor network methods to investigate the evolution of collective neutrino flavor oscillations. In particular, we employ the time-dependent variational principle method [1]. In this talk, I will discuss the comparison between different numerical approaches in terms of time
and resource complexities. In the case of tensor network methods, we see a significant reduction in the complexities in specific conditions.
