N-mode coherence in collective neutrino oscillations

Abstract

We study two-flavor neutrino oscillations in a homogeneous and isotropic ensemble under the influence of neutrino-neutrino interactions. For any density there exist forms of collective oscillations that show self-maintained coherence. They can be classified by a number N of linearly independent functions that describe all neutrino modes as linear superpositions. What is more, the dynamics is equivalent to another ensemble with the same effective density, consisting of N modes with discrete energies E_i with i=1, ..., N. We use this equivalence to derive the analytic solution for two-mode (bimodal) coherence, relevant for spectral-split formation in supernova neutrinos.

Typographical errors in Eqs.(B4) and (B5) corrected, otherwise identical to published version

References in corpus (11)

• Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
• Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
• Multiple Spectral Splits of Supernova Neutrinos
• The multi-angle instability in dense neutrino systems
• Analysis of Collective Neutrino Flavor Transformation in Supernovae
• Adiabaticity and spectral splits in collective neutrino transformations
• Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter
• Self-induced decoherence in dense neutrino gases
• Low-energy spectral features of supernova (anti)neutrinos in inverted hierarchy
• Construction and analysis of a simplified many-body neutrino model
• Synchronization vs. decoherence of neutrino oscillations at intermediate densities

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