Role of non-gaussian quantum fluctuations in neutrino entanglement

Abstract

The flavor evolution of neutrinos in environments with large neutrino number densities is an open problem at the nexus of astrophysics and neutrino flavor physics. Among the many unanswered questions pertaining to this problem, it remains to be determined whether neutrino-neutrino coherent scattering can give rise to nontrivial quantum entanglement among neutrinos, and whether this can affect the flavor evolution in a meaningful way. To gain further insight into this question, here we study a simple system of two interacting neutrino beams, and obtain the exact phase-space explored by this system using the Husimi quasi-probability distribution. We observe that the entanglement induced by the coupling leads to strong delocalization in phase-space with largely non-Gaussian quantum fluctuations. The link between the neutrino entanglement and quantum fluctuations is illustrated using the one- and two-neutrino entropy. In addition, we propose an approximate phase-space method to describe the interacting neutrinos problem, where the exact evolution is replaced by a set of independent mean-field evolutions with a statistical sampling of the initial conditions. The phase-space approach provides a simple and accurate method to describe the gross features of the neutrino entanglement problem. Applications are shown using time-independent and time-dependent Hamiltonians in the non-adiabatic regime.

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• Multi-Neutrino Entanglement and Correlations in Dense Neutrino Systems
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• Entanglement entropy of nuclear systems
• Neutrino Oscillations in Core-Collapse Supernovae and Neutron Star Mergers
• 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
• Neutrino many-body correlations
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Simulating neutrino oscillations on a superconducting qutrit
• Symmetry and bipolar motion in collective neutrino flavor oscillations
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Many-body collective neutrino oscillations: recent developments
• Collective Neutrino Oscillations in Three Flavors on Qubit and Qutrit Processors
• Exploring entanglement and spectral split correlations in three-flavor collective neutrino oscillations
• Interactions of Neutrino Wave Packets
• Emulation of large-scale qubit registers with a phase-space approach