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Improved Approximations for Collective Neutrino Oscillations

2026/07/30 by Matthew Riccio, A. B. Balantekin
Physics and Astronomy · #hep-ph

paper · pdf

17 Pages, 17 figures

arxiv published 2026/07/30 · arxiv created 2026/08/03 · arxiv updated 2026/08/05

Abstract

A one- and two-body \mathfraksu(n) Hamiltonian governing the dynamics of many systems, including collective neutrino oscillations, is investigated. We start by analyzing the algebraic structure(\mathfraku(nN)), 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.

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