Entanglement and correlations in fast collective neutrino flavor oscillations

Abstract

Collective neutrino oscillations play a crucial role in transporting lepton flavor in astrophysical settings like supernovae and neutron star binary merger remnants, which are characterized by large neutrino densities. In these settings, simulations in the mean-field approximation show that neutrino-neutrino interactions can overtake vacuum oscillations and give rise to fast collective flavor evolution on time-scales $t\propto {\mu }^{-1}$, with $\mu$ proportional to the local neutrino density. In this work, we study the full out-of-equilibrium flavor dynamics in simple multi-angle geometries displaying fast oscillations in the mean field linear stability analysis. Focusing on simple initial conditions, we analyze the production of pair correlations and entanglement in the complete many-body-dynamics as a function of the number $N$ of neutrinos in the system, for up to thousands of neutrinos. Similarly to simpler geometries with only two neutrino beams, we identify three regimes: stable configurations with vanishing flavor oscillations, marginally unstable configurations with evolution occurring on long time scales $\tau \approx {\mu }^{-1}\sqrt{N}$, and unstable configurations showing flavor evolution on short time scales $\tau \approx {\mu }^{-1}\log (N)$. We present evidence that these fast collective modes are generated by the same dynamical phase transition which leads to the slow bipolar oscillations, establishing a connection between these two phenomena and explaining the difference in their time scales. We conclude by discussing a semi-classical approximation which reproduces the entanglement entropy at short to medium time scales and can be potentially useful in situations with more complicated geometries where classical simulation methods starts to become inefficient.

References in corpus (63)

• Explosion Mechanisms of Core-Collapse Supernovae
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Dynamical quantum phase transitions: a review
• Collective Neutrino Oscillations
• Production of all the r-process nuclides in the dynamical ejecta of neutron star mergers
• Phase space representation of quantum dynamics
• Magnetorotationally driven Supernovae as the origin of early galaxy $r$-process elements?
• Entropy scaling and simulability by Matrix Product States
• Nucleosynthesis in neutrino-driven winds: II. Implications for heavy element synthesis
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Speed-up of neutrino transformations in a supernova environment
• Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
• Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
• Stringent Constraints on Cosmological Neutrino-Antineutrino Asymmetries from Synchronized Flavor Transformation
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• Collective neutrino flavor conversion: Recent developments
• New Developments in Flavor Evolution of a Dense Neutrino Gas
• Coherent Development of Neutrino Flavor in the Supernova Environment
• Neutrino-Neutrino Scattering and Matter-Enhanced Neutrino Flavor Transformation in Supernovae
• Neutrino cloud instabilities just above the neutrino sphere of a supernova
• Analysis of Collective Neutrino Flavor Transformation in Supernovae
• A First Detection of the Acoustic Oscillation Phase Shift Expected from the Cosmic Neutrino Background
• Neutrino Mixing and Nucleosynthesis in Core-Collapse Supernovae
• Linearized flavor-stability analysis of dense neutrino streams
• Flavor oscillations in the supernova hot bubble region: Nonlinear effects of neutrino background
• Neutrinos And Big Bang Nucleosynthesis
• Invariants of Collective Neutrino Oscillations
• Neutrino oscillations in supernovae: angular moments and fast instabilities
• Large deviations and universality in quantum quenches
• Self-induced decoherence in dense neutrino gases
• A dynamical collective calculation of supernova neutrino signals
• Fast neutrino conversions: Ubiquitous in compact binary merger remnants
• Neutrino flavour transformation in supernovae
• Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations
• Neutrino scattering and flavor transformation in supernovae
• Fast Flavor Depolarization of Supernova Neutrinos
• Self-induced suppression of collective neutrino oscillations in a supernova
• Self-refraction of supernova neutrinos: mixed spectra and three-flavor instabilities
• Spectral split in prompt supernova neutrino burst: Analytic three-flavor treatment
• Do many-particle neutrino interactions cause a novel coherent effect?
• Collective fast neutrino flavor conversions in a 1D box: Initial condition and long-term evolution
• The dispersion relation of the fast neutrino oscillation wave
• Simultaneous Flavor Transformation of Neutrinos and Antineutrinos with Dominant Potentials from Neutrino-Neutrino Forward Scattering
• Neutrino mass hierarchy and three-flavor spectral splits of supernova neutrinos
• Matter-enhanced antineutrino flavor transformation and supernova nucleosynthesis
• Simulation of Collective Neutrino Oscillations on a Quantum Computer
• Neutrino Flavor Pendulum Reloaded: The Case of Fast Pairwise Conversion
• Chaotic dynamical ferromagnetic phase induced by non-equilibrium quantum fluctuations
• Origin of the slow growth of entanglement entropy in long-range interacting spin systems
• Fast Neutrino Flavor Conversion at Late Time
• Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
• Entanglement and Many-Body effects in Collective Neutrino Oscillations
• Exact solution of multi-angle quantum many-body collective neutrino flavor oscillations
• Construction and analysis of a simplified many-body neutrino model
• Spectral splits and entanglement entropy in collective neutrino oscillations
• N-mode coherence in collective neutrino oscillations
• Multi-Dimensional Solution of Fast Neutrino Conversions in Binary Neutron Star Merger Remnants
• Dynamical Phase Transitions in models of Collective Neutrino Oscillations
• Collective neutrino oscillations with tensor networks using a time-dependent variational principle
• Classical and Quantum Evolution in a Simple Coherent Neutrino Problem
• Many-body effects of collective neutrino oscillations
• Stationary solutions for fast flavor oscillations of a homogeneous dense neutrino gas
• Neutrinos and Symmetries

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• Quantum Simulating Nature's Fundamental Fields
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• Flavor solitons in dense neutrino gases
• Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations
• Role of non-gaussian quantum fluctuations in neutrino entanglement
• Neutrino Oscillations in Core-Collapse Supernovae and Neutron Star Mergers
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Quantum information and quantum simulation of neutrino physics
• Two-Moment Neutrino Flavor Transformation with applications to the Fast Flavor Instability in Neutron Star Mergers
• Self-consistency in models of neutrino scattering and fast flavor conversion
• Fast Flavor Transformations
• Collective neutrino oscillations and heavy-element nucleosynthesis in supernovae: exploring potential effects of many-body neutrino correlations
• Qutrit and Qubit Circuits for Three-Flavor Collective Neutrino Oscillations
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Neutrino many-body correlations
• Simulating neutrino oscillations on a superconducting qutrit
• Symmetry and bipolar motion in collective neutrino flavor oscillations
• Many-body collective neutrino oscillations: recent developments
• Collective Neutrino Oscillations in Three Flavors on Qubit and Qutrit Processors
• Many-Body Simulations of the Fast Flavor Instability
• Exploring entanglement and spectral split correlations in three-flavor collective neutrino oscillations
• Inference finds consistency between a neutrino flavor evolution model and Earth-based solar neutrino measurements
• Sufficient and Necessary Conditions for Collective Neutrino Instability: Fast, Slow, and Mixed
• Two-beam Multiparticle Many-body simulations of Inhomogeneous FFI