Spectral splits and entanglement entropy in collective neutrino oscillations
arXiv:2109.08995 · doi:10.1103/PhysRevD.104.123035
Abstract
In environments such as core-collapse supernovae, neutron star mergers, or the early universe, where the neutrino fluxes can be extremely high, neutrino-neutrino interactions are appreciable and contribute substantially to their flavor evolution. Such a system of interacting neutrinos can be regarded as a quantum many-body system, and prospects for nontrivial quantum correlations, i.e., entanglement, developing in a gas of interacting neutrinos have been investigated previously. In this work, we uncover an intriguing connection between the entropy of entanglement of individual neutrinos with the rest of the ensemble, and the occurrence of spectral splits in the energy spectra of these neutrinos, which develop as a result of collective neutrino oscillations. In particular, for various types of neutrino spectra, we demonstrate that the entanglement entropy is highest for the neutrinos whose locations in the energy spectrum are closest to the spectral split(s). This trend demonstrates that the quantum entanglement is strongest among the neutrinos that are close to these splits, a behavior that seems to persist even as the size of the many-body system is increased.
arXiv comment10 pages, 6 figures. v2: updated to match journal version
References in corpus (46)
- Collective Neutrino Oscillations
- Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
- Non-adiabatic Level Crossing in Resonant Neutrino Oscillations
- Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
- Multiple Spectral Splits of Supernova Neutrinos
- Self-induced spectral splits in supernova neutrino fluxes
- 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 Quantum Kinetics
- Analysis of Collective Neutrino Flavor Transformation in Supernovae
- Extended evolution equations for neutrino propagation in astrophysical and cosmological environments
- Adiabaticity and spectral splits in collective neutrino transformations
- Invariants of Collective Neutrino Oscillations
- Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova Neutrino Flavors
- Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter
- Axial symmetry breaking in self-induced flavor conversion of supernova neutrino fluxes
- Non-Abelian Boltzmann Equation for Mixing and Decoherence
- Neutrino flavour transformation in supernovae
- Simple Picture for Neutrino Flavor Transformation in Supernovae
- Self-refraction of supernova neutrinos: mixed spectra and three-flavor instabilities
- Neutrino flavor conversion in a neutrino background: single- versus multi-particle description
- Do many-particle neutrino interactions cause a novel coherent effect?
- Spectral split in prompt supernova neutrino burst: Analytic three-flavor treatment
- Stepwise Spectral Swapping with Three Neutrino Flavors
- Neutrino Flavor Conversion in a Supernova Core
- Flavor instabilities in the neutrino line model
- Neutrino mass hierarchy and three-flavor spectral splits of supernova neutrinos
- Simulation of Collective Neutrino Oscillations on a Quantum Computer
- Entanglement and collective flavor oscillations in a dense neutrino gas
- Speed-up through entanglement -- many-body effects in neutrino processes
- Entanglement and Many-Body effects in Collective Neutrino Oscillations
- Exact solution of multi-angle quantum many-body collective neutrino flavor oscillations
- Multi-azimuthal-angle effects in self-induced supernova neutrino flavor conversions without axial symmetry
- Construction and analysis of a simplified many-body neutrino model
- New effects of non-standard self-interactions of neutrinos in a supernova
- Flavor instabilities in the multi-angle neutrino line model
- The neutrino spectral split in core-collapse supernovae: a magnetic resonance phenomenon
- Neutrino Spectral Split in the Exact Many Body Formalism
- Multi-azimuthal-angle instability for different supernova neutrino fluxes
- Dynamical Phase Transitions in models of Collective Neutrino Oscillations
- Eigenvalues and eigenstates of the many-body collective neutrino oscillation problem
- Multi-angle effects in self-induced oscillations for different supernova neutrino fluxes
- Spectral splits of neutrinos as a BCS-BEC crossover type phenomenon
- Multi-angle effects in collective supernova neutrino oscillations
- On symmetries of Hamiltonians describing systems with arbitrary spins
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- Quantum Simulation for High Energy Physics
- Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
- Multi-Neutrino Entanglement and Correlations in Dense Neutrino Systems
- Flavor solitons in dense neutrino gases
- Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations
- Entanglement and correlations in fast collective neutrino flavor oscillations
- Role of non-gaussian quantum fluctuations in neutrino entanglement
- 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
- Entanglement in three-flavor collective neutrino oscillations
- 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
- Do we have enough evidence to invalidate the mean-field approximation adopted to model collective neutrino oscillations?
- Fast Flavor Transformations
- Once-in-a-lifetime encounter models for neutrino media: From coherent oscillations to flavor equilibration
- 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
- Symmetry and bipolar motion in collective neutrino flavor oscillations
- Exploiting stellar explosion induced by the QCD phase transition in large-scale neutrino detectors
- Many-body collective neutrino oscillations: recent developments
- Supernova Neutrinos: flavour conversion mechanisms and new physics scenarios
- Collective Neutrino Oscillations in Three Flavors on Qubit and Qutrit Processors
- Exploring entanglement and spectral split correlations in three-flavor collective neutrino oscillations
- Non-conservation of Lepton Numbers in the Neutrino Sector Could Change the Prospects for Core Collapse Supernova Explosions
- Many-Body Simulations of the Fast Flavor Instability
- Cosmic Neutrino Decoupling and its Observable Imprints: Insights from Entropic-Dual Transport
- Inference finds consistency between a neutrino flavor evolution model and Earth-based solar neutrino measurements
- Once-in-a-lifetime encounter models for neutrino media II: Quasi-steady states and miscidynamic flavor evolution
- Two-beam Multiparticle Many-body simulations of Inhomogeneous FFI
- Interactions of Neutrino Wave Packets
- Two Flavour Neutrino Oscillation in Matter and Quantum Entanglement