Dynamical Phase Transitions in models of Collective Neutrino Oscillations

Abstract

Collective neutrino oscillations can potentially play an important role in transporting lepton flavor in astrophysical scenarios where the neutrino density is large, typical examples are the early universe and supernova explosions. It has been argued in the past that simple models of the neutrino Hamiltonian designed to describe forward scattering can support substantial flavor evolution on very short time scales $t\approx \log (N)/(G_F{\rho }_{\nu })$, with $N$ the number of neutrinos, $G_F$ the Fermi constant and ${\rho }_{\nu }$ the neutrino density. This finding is in tension with results for similar but exactly solvable models for which $t\approx \sqrt{N}/(G_F{\rho }_{\nu })$ instead. In this work we provide a coherent explanation of this tension in terms of Dynamical Phase Transitions (DPT) and study the possible impact that a DPT could have in more realistic models of neutrino oscillations and their mean-field approximation.

13 pages, 9 figures

References in corpus (18)

• A class of quantum many-body states that can be efficiently simulated
• Dynamics of Loschmidt echoes and fidelity decay
• Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
• Entanglement in a second order quantum phase transition
• Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Multiple Spectral Splits of Supernova Neutrinos
• Coherent Development of Neutrino Flavor in the Supernova Environment
• Analysis of Collective Neutrino Flavor Transformation in Supernovae
• Entanglement in a first order quantum phase transition
• Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova Neutrino Flavors
• Large deviations and universality in quantum quenches
• Simulation of Collective Neutrino Oscillations on a Quantum Computer
• Entanglement and Many-Body effects in Collective Neutrino Oscillations
• Construction and analysis of a simplified many-body neutrino model
• Synchronization vs. decoherence of neutrino oscillations at intermediate densities
• Spectral swaps in a two-dimensional neutrino ring model
• "Classical" instabilities and "quantum" speed-up in the evolution of neutrino clouds

Cited by in corpus (29)

• Quantum Simulation for High Energy Physics
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Quantum Simulating Nature's Fundamental Fields
• The Neutrino Fast Flavor Instability in Three Dimensions
• Neutrino Flavor Conversions in High-Density Astrophysical and Cosmological Environments
• Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
• Entanglement and Many-Body effects in Collective Neutrino Oscillations
• Spectral splits and entanglement entropy in collective neutrino oscillations
• Hybridized Methods for Quantum Simulation in the Interaction Picture
• Multi-Neutrino Entanglement and Correlations in Dense Neutrino Systems
• Flavor solitons in dense neutrino gases
• Entanglement and correlations in fast collective neutrino flavor oscillations
• Trapped-Ion Quantum Simulation 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
• Quantum information and quantum simulation of neutrino physics
• Fast Flavor Transformations
• Collective neutrino oscillations and heavy-element nucleosynthesis in supernovae: exploring potential effects of many-body neutrino correlations
• Neutrino many-body correlations
• Symmetry and bipolar motion in collective neutrino flavor oscillations
• Many-body collective neutrino oscillations: recent developments
• Chaos in Inhomogeneous Neutrino Fast Flavor Instability
• 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
• Two-beam Multiparticle Many-body simulations of Inhomogeneous FFI
• Interactions of Neutrino Wave Packets
• Quantum Simulations of the Non-Unitary Time Evolution and Applications to Neutral-Kaon Oscillations