Symmetry and bipolar motion in collective neutrino flavor oscillations

Abstract

We identify a geometric symmetry on the two-flavor Bloch sphere for collective flavor oscillations of a homogeneous dense neutrino gas. Based on this symmetry, analytical solutions to the periodic bipolar flavor evolution are derived. Using numerical calculations, we show that for configurations without this symmetry, the flavor evolution displays deviations from the bipolar flavor motion or even exhibits aperiodic patterns. We also discuss the implication of our finding for more general three-flavor and inhomogeneous cases.

arXiv comment11 pages, 4 figures

References in corpus (63)

• Collective Neutrino Oscillations
• Self-induced conversion in dense neutrino gases: Pendulum in flavour space
• Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
• New Developments in Flavor Evolution of a Dense Neutrino Gas
• Coherent Development of Neutrino Flavor in the Supernova Environment
• Physics of Synchronized Neutrino Oscillations Caused by Self-Interactions
• Analysis of Collective Neutrino Flavor Transformation in Supernovae
• Collective three-flavor oscillations of supernova neutrinos
• Neutrino oscillations in supernovae: angular moments and fast instabilities
• Fast neutrino flavor conversions near the supernova core with realistic flavor-dependent angular distributions
• Self-induced decoherence in dense neutrino gases
• Imprints of neutrino-pair flavor conversions on nucleosynthesis in ejecta from neutron-star merger remnants
• Axial symmetry breaking in self-induced flavor conversion of supernova neutrino fluxes
• Neutrino Fast Flavor Conversions in Neutron-star Post-Merger Accretion Disks
• The influence of collective neutrino oscillations on a supernova r-process
• Fast neutrino flavor instability and neutrino flavor lepton number crossings
• Fast neutrino flavor conversion, ejecta properties, and nucleosynthesis in newly-formed hypermassive remnants of neutron-star mergers
• Fast Flavor Depolarization of Supernova Neutrinos
• Neutrino oscillations above black hole accretion disks: disks with electron-flavor emission
• Effects of neutrino oscillations on nucleosynthesis and neutrino signals for an 18 M supernova model
• Self-refraction of supernova neutrinos: mixed spectra and three-flavor instabilities
• Dynamic fast flavor oscillation waves in dense neutrino gases
• Fast Neutrino Flavor Conversion in Core-Collapse Supernovae: A Parametric Study in 1D Models
• Fast flavor oscillations in dense neutrino media with collisions
• Collective fast neutrino flavor conversions in a 1D box: Initial condition and long-term evolution
• Fast neutrino flavor conversion: roles of dense matter and spectrum crossing
• Stepwise Spectral Swapping with Three Neutrino Flavors
• Neutrino-antineutrino correlations in dense anisotropic media
• The dispersion relation of the fast neutrino oscillation wave
• Fast oscillations, collisionless relaxation, and spurious evolution of supernova neutrino flavor
• Time-dependent and quasi-steady features of fast neutrino-flavor conversion
• Potential Impact of Fast Flavor Oscillations on Neutrino-driven Winds and Their Nucleosynthesis
• Fast flavor conversions in supernovae: the rise of mu-tau neutrinos
• Neutrino Flavor Pendulum Reloaded: The Case of Fast Pairwise Conversion
• Neutrino Flavor Conversions in High-Density Astrophysical and Cosmological Environments
• Evolution of collisional neutrino flavor instabilities in spherically symmetric supernova models
• Collective Neutrino Flavor Instability Requires a Crossing
• Code Comparison for Fast Flavor Instability Simulation
• The Fast Flavor Instability in Hypermassive Neutron Star Disk Outflows
• Neutrino Fast Flavor Pendulum. Part 2: Collisional Damping
• Fast Neutrino Flavor Conversion as Oscillations in a Quartic Potential
• Collisional instabilities of neutrinos and their interplay with fast flavor conversion in compact objects
• Entanglement and Many-Body effects in Collective Neutrino Oscillations
• Exact solution of multi-angle quantum many-body collective neutrino flavor oscillations
• Self-induced flavor conversion of supernova neutrinos on small scales
• Slow and fast collective neutrino oscillations: Invariants and reciprocity
• Spectral splits and entanglement entropy in collective neutrino oscillations
• Collision-induced flavor instability in dense neutrino gases with energy-dependent scattering
• Dynamics of fast neutrino flavor conversions with scattering effects: a detailed analysis
• Possible effects of collective neutrino oscillations in the three flavor multi-angle simulations on supernova $\nu p$ process
• The three flavor revolution in fast pairwise neutrino conversion
• Enhancement or damping of fast neutrino flavor conversions due to collisions
• Dynamical Phase Transitions in models of Collective Neutrino Oscillations
• Entanglement and correlations in fast collective neutrino flavor oscillations
• Role of non-gaussian quantum fluctuations in neutrino entanglement
• Classical and Quantum Evolution in a Simple Coherent Neutrino Problem
• Many-body effects of collective neutrino oscillations
• Effects of energy-dependent scatterings on fast neutrino flavor conversions
• Stationary solutions for fast flavor oscillations of a homogeneous dense neutrino gas
• Coupling Neutrino Oscillations and Simulations of Core-Collapse Supernovae
• Chaotic flavor evolution in an interacting neutrino gas
• Explosive nucleosynthesis with fast neutrino-flavor conversion in core-collapse supernovae
• Three-flavor collective neutrino conversions with multi-azimuthal-angle instability in an electron-capture supernova model

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• Two-Moment Neutrino Flavor Transformation with applications to the Fast Flavor Instability in Neutron Star Mergers
• Flavor Equilibration of Supernova Neutrinos: Exploring the Dynamics of Slow Modes
• Chaos in Inhomogeneous Neutrino Fast Flavor Instability
• Advection Algorithms for Quantum Neutrino Moment Transport