Measuring entangled neutrino states in a toy model QFT

Localized wave packet treatments of neutrino oscillations by various groups lead to mutually inconsistent predictions. The neutrino wave packet description arises as an approximate substitute for the evolution of an entangled state which is not localized. The disagreements arise from qualitative dif...

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Main Authors: Hosam Mohammed, Jarah Evslin, Emilio Ciuffoli
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320301991
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author Hosam Mohammed
Jarah Evslin
Emilio Ciuffoli
author_facet Hosam Mohammed
Jarah Evslin
Emilio Ciuffoli
author_sort Hosam Mohammed
collection DOAJ
description Localized wave packet treatments of neutrino oscillations by various groups lead to mutually inconsistent predictions. The neutrino wave packet description arises as an approximate substitute for the evolution of an entangled state which is not localized. The disagreements arise from qualitative differences in the framework which are not specific to electroweak interactions, and so have analogues in simpler models. Therefore in this note we introduce a toy model which allows one to explicitly test these predictions while consistently keeping track of the entanglement of the neutrinos and the source particles. Our study is robust as we use only the Schrodinger picture evolution equations on the entangled state, which are solved explicitly without recourse to the wave packet approximation.
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spelling doaj.art-16b0271574574c76b101ee75f83ac01b2022-12-22T01:24:12ZengElsevierNuclear Physics B0550-32132020-09-01958115113Measuring entangled neutrino states in a toy model QFTHosam Mohammed0Jarah Evslin1Emilio Ciuffoli2Institute of Modern Physics, NanChangLu 509, Lanzhou 730000, China; Physics Department, Faculty of Science, Beni Suef University, Beni Suef 62514, EgyptInstitute of Modern Physics, NanChangLu 509, Lanzhou 730000, China; University of the Chinese Academy of Sciences, YuQuanLu 19A, Beijing 100049, China; Corresponding author.Institute of Modern Physics, NanChangLu 509, Lanzhou 730000, ChinaLocalized wave packet treatments of neutrino oscillations by various groups lead to mutually inconsistent predictions. The neutrino wave packet description arises as an approximate substitute for the evolution of an entangled state which is not localized. The disagreements arise from qualitative differences in the framework which are not specific to electroweak interactions, and so have analogues in simpler models. Therefore in this note we introduce a toy model which allows one to explicitly test these predictions while consistently keeping track of the entanglement of the neutrinos and the source particles. Our study is robust as we use only the Schrodinger picture evolution equations on the entangled state, which are solved explicitly without recourse to the wave packet approximation.http://www.sciencedirect.com/science/article/pii/S0550321320301991
spellingShingle Hosam Mohammed
Jarah Evslin
Emilio Ciuffoli
Measuring entangled neutrino states in a toy model QFT
Nuclear Physics B
title Measuring entangled neutrino states in a toy model QFT
title_full Measuring entangled neutrino states in a toy model QFT
title_fullStr Measuring entangled neutrino states in a toy model QFT
title_full_unstemmed Measuring entangled neutrino states in a toy model QFT
title_short Measuring entangled neutrino states in a toy model QFT
title_sort measuring entangled neutrino states in a toy model qft
url http://www.sciencedirect.com/science/article/pii/S0550321320301991
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