Improved Approximations for Collective Neutrino Oscillations
arXiv:2607.28619
The paper develops algebraic techniques and a BBGKY hierarchy truncation to improve approximations for collective neutrino oscillations, offering a systematic method to go beyond mean‑field calculations with polynomial scaling on classical computers.
Abstract
A one- and two-body Hamiltonian governing the dynamics of many systems, including collective neutrino oscillations, is investigated. We start by analyzing the algebraic structure(), formulate a product structure of the algebra, and utilize this to construct generic expressions for operator expectation values, Rényi Entropy, and Wigner Functions. Performing BBGKY hierarchy truncation we develop a systematic methodology for going beyond the mean field with polynomial scaling on a classical computer.
17 Pages, 17 figures