Quantum coherence between mass eigenstates of a neutrino can be destroyed by its mass-momentum entanglement

• URL: http://arxiv.org/abs/2410.21850v5
• Date: Mon, 18 Nov 2024 07:27:41 GMT
• Title: Quantum coherence between mass eigenstates of a neutrino can be destroyed by its mass-momentum entanglement
• Authors: Shi-Biao Zheng,
• Abstract summary: If a neutrino or antineutrino produced in the decay of an unstable particle is not entangled to its accompanying particles, its mass is correlated with its momentum. This entanglement would destroy the quantum coherence between the neutrino's mass eigenstates in both the momentum and position representations.
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• Abstract: If a neutrino or antineutrino produced in the decay of an unstable particle is not entangled to its accompanying particles, its mass is necessarily correlated with its momentum. In this note, I illustrate this entanglement would destroy the quantum coherence between the neutrino's mass eigenstates in both the momentum and position representations, which was overlooked by other authors in previous investigations of entanglement and coherence associated with neutrino oscillations.

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