Geometric phases in neutrino oscillations with nonlinear refraction
arXiv:1612.06940 · doi:10.1103/PhysRevD.95.043003
Abstract
Neutrinos propagating in dense astrophysical environments sustain nonlinear refractive effects due to neutrino-neutrino forward scattering. We study geometric phases in neutrino oscillations that arise out of cyclic evolution of the potential generated by these forward-scattering processes. We perform several calculations, exact and perturbative, that illustrate the robustness of such phases, and of geometric effects more broadly, in the flavor evolution of neutrinos. The scenarios we consider are highly idealized in order to make them analytically tractable, but they suggest the possible presence of complicated geometric effects in realistic astrophysical settings. We also point out that in the limit of extremely high neutrino densities, the nonlinear potential in three flavors naturally gives rise to non-Abelian geometric phases. This paper is intended to be accessible to neutrino experts and non-specialists alike.
17 pages, 3 figures
References in corpus (29)
- 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
- Coherent Development of Neutrino Flavor in the Supernova Environment
- The multi-angle instability in dense neutrino systems
- Role of dense matter in collective supernova neutrino transformations
- Analysis of Collective Neutrino Flavor Transformation in Supernovae
- Adiabaticity and spectral splits in collective neutrino transformations
- Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova Neutrino Flavors
- Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter
- Self-induced decoherence in dense neutrino gases
- Neutrino scattering and flavor transformation in supernovae
- Flavor Evolution of the Neutronization Neutrino Burst from an O-Ne-Mg Core-Collapse Supernova
- Simple Picture for Neutrino Flavor Transformation in Supernovae
- Collective neutrinos oscillation in matter and CP-violation
- Analysis of matter suppression in collective neutrino oscillations during the supernova accretion phase
- Spectral split in prompt supernova neutrino burst: Analytic three-flavor treatment
- Stepwise Spectral Swapping with Three Neutrino Flavors
- Supernova neutrino halo and the suppression of self-induced flavor conversion
- Neutrino propagation in media: Flavor-, helicity-, and pair correlations
- Mu-tau neutrino refraction and collective three-flavor transformations in supernovae
- Neutrino Oscillation Physics Potential of the T2K Experiment
- Collective neutrino oscillations in non-spherical geometry
- Simulating nonlinear neutrino flavor evolution
- Neutrino flavor transformation in the lepton-asymmetric universe
- Effect of Collective Flavor Oscillations on the Diffuse Supernova Neutrino Background
- Symmetries in collective neutrino oscillations
- Non-cyclic phases for neutrino oscillations in quantum field theory
- Numerical and Physical Stability of Supernova Neutrino Flavor Evolution