Gravitational Effects on Quantum Coherence in Neutrino Oscillation

In this paper, we investigate the quantum coherence for two flavor neutrinos propagating in a Schwarzschild metric. In fact, this issue is explored both qualitatively via calculating the parameter \(K_{3}\) in Leggett-Garg inequality (LGI) and also quantitatively by evaluating the \(l_{1}\)-norm, \(...

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Bibliographic Details
Published in:arXiv.org 2022-05
Main Authors: Ettefaghi, M M, R Ramezani Arani, Tabatabaei Lotfi, Z S
Format: Article
Language:English
Subjects:
Coherence
Flavor (particle physics)
Gravitational effects
Neutrinos
Quantum phenomena
Schwarzschild metric
Online Access:Get full text
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Summary:In this paper, we investigate the quantum coherence for two flavor neutrinos propagating in a Schwarzschild metric. In fact, this issue is explored both qualitatively via calculating the parameter \(K_{3}\) in Leggett-Garg inequality (LGI) and also quantitatively by evaluating the \(l_{1}\)-norm, \({\cal C}(\rho)\). Using the weak field approximations, we show that the gravitational effects decrease the maximum value of \(K_{3}\) for some intervals of energy such a way that there is no violation, while it leaves the maximum amount of the quantum coherence, \({\cal C}(\rho)\) unchanged.
ISSN:2331-8422
DOI:10.48550/arxiv.2204.12314