Gravitational Effects on Quantum Coherence in Neutrino Oscillation
- URL: http://arxiv.org/abs/2204.12314v2
- Date: Wed, 4 May 2022 09:04:48 GMT
- Title: Gravitational Effects on Quantum Coherence in Neutrino Oscillation
- Authors: M. M. Ettefaghi, R. Ramezani Arani, and Z. S. Tabatabaei Lotfi
- Abstract summary: We investigate the quantum coherence for two flavor neutrinos propagating in a Schwarzschild metric.
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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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.
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