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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

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

arXiv
Authors: Shi-Biao Zheng

Year

2024

Paper ID

37537

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

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 manuscript, I illustrate that 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. I further point out that the states of a neutrino and an electron become nonseparable after their charged-current interaction. This nonseparability leads to decoherence for neutrinos propagating in matter, but was not taken into consideration in previous investigations of the matter effect.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • 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.

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