Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Iranian Journal of Physics Research

CP and Bell's inequality violation in the neutrino-antineutrino oscillations

Seyed Majid Saberi Fathi, Imani, N

Published May 1, 2021• 0 citations
Publisher

Abstract

Bell's inequality has made the ability to find nonlocality in what happened by a numerical indicator. CP violation is one of the most important phenomena that occur in nature. It represents asymmetry in the matter and anti-matter in the universe. In this paper, we use a thought experiment to obtain a formalism of Bell's inequality of type CHSH for Majorana neutrino. This inequality is sensible to CP violation.

DOI
10.47176/ijpr.21.1.31032

Related papers

Violation of the Leggett-Garg Inequality in Neutrino Oscillations

Joseph A. Formaggio, D. I. Kaiser, M. M. Murskyj +1 more

The Leggett-Garg inequality, an analogue of Bell's inequality involving correlations of measurements on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. The phenomenon of neutrino oscillations should adhere to quantum-mechanical predictions and provide an observable violation of the Leggett-Garg inequality. We demonstrate how oscillation phenomena can be used to test for violations of the classical bound by performing measurements on an ensemble of neutrinos at distinct energies, as opposed to a single neutrino at distinct times. A study of the MINOS experiment's data shows a greater than 6σ violation over a distance of 735 km, representing the longest distance over which either the Leggett-Garg inequality or Bell's inequality has been tested.

arXiv:1602.00041•Physical Review Letters•Jul 26, 2016•150 citations

Violation of the Leggett-Garg Inequality in neutrino oscillations

T. E. Weiss, Joseph A. Formaggio, David I. Kaiser +1 more

The Leggett-Garg inequality, an analogue of Bell's inequality involving correlations of measurements on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. The phenomenon of neutrino oscillations should adhere to quantum-mechanical predictions and provide an observable violation of the Leggett-Garg inequality. We demonstrate how oscillation phenomena can be used to test for violations of the classical bound by performing measurements on an ensemble of neutrinos at distinct energies, as opposed to a single neutrino at distinct times. A study of the MINOS experiment's data shows a greater than 6 σ violation over a distance of 735 km, representing the longest distance over which either the Leggett-Garg inequality or Bell's inequality has been tested.

Journal of Physics Conference Series•Sep 1, 2017•0 citations

Quantum correlations in terms of neutrino oscillation probabilities

Ashutosh Kumar Alok, Subhashish Banerjee, Sankagiri Uma Sankar

Neutrino oscillations provide evidence for the mode entanglement of neutrino mass eigenstates in a given flavour eigenstate. Given this mode entanglement, it is pertinent to consider the relation between the oscillation probabilities and other quantum correlations. In this work, we show that all the well-known quantum correlations, such as the Bell's inequality, are directly related to the neutrino oscillation probabilities. The results of the neutrino oscillation experiments, which measure the neutrino survival probability to be less than unity, imply Bell's inequality violation.

arXiv:1411.5536•Nuclear Physics B•May 4, 2016•93 citations

Can NSI affect non-local correlations in neutrino oscillations?

Bhavna Yadav, Trisha Sarkar, Khushboo Dixit +1 more

Abstract Non-local correlations in entangled systems are usually captured by measures such as Bell’s inequality violation. It was recently shown that in neutrino systems, a measure of non-local advantage of quantum coherence (NAQC) can be considered as a stronger measure of non-local correlations as compared to the Bell’s inequality violation. In this work, we analyze the effects of non standard interaction (NSI) on these measures in the context of two flavour neutrino oscillations for DUNE, MINOS, T2K, KamLAND, JUNO and Daya Bay experimental set-ups. We find that even in the presence of NSI, Bell’s inequality violation occurs in the entire energy range whereas the NAQC violation is observed only in some specific energy range justifying the more elementary feature of NAQC. Further, we find that NSI can enhance the violation of NAQC and Bell’s inequality parameter in the higher energy range of a given experimental set-up; these enhancements being maximal for the KamLAND experiment. However, the possible enhancement in the violation of the Bell’s inequality parameter over the standard model prediction can be up to 11% whereas for NAQC it is 7%. Thus although NAQC is a comparatively stronger witness of nonclassicality, it shows lesser sensitivity to NSI effects in comparison to the Bell’s inequality parameter.

arXiv:2201.05580•The European Physical Journal C•May 1, 2022•9 citations

Observation of Bell inequality violation in B mesons

A. Go

A pair of B0B0 mesons from γ(45) decay exhibit EPR type non-local particle-antiparticle (flavour) correlation. It is possible to write down the Bell inequality (in the CHSH form: S  2) to test the non-locality assumption of EPR. Using semileptonic B0 decays of γ(4S) at Belle experiment, a clear violation of the Bell inequality in particle-antiparticle correlation is observed:

Journal of Modern Optics•May 2, 2004•41 citations

Observation of Bell inequality violation in B mesons

A. Go

A pair of B0B0 mesons from γ(45) decay exhibit EPR type non-local particle-antiparticle (flavour) correlation. It is possible to write down the Bell inequality (in the CHSH form: S  2) to test the non-locality assumption of EPR. Using semileptonic B0 decays of γ(4S) at Belle experiment, a clear violation of the Bell inequality in particle-antiparticle correlation is observed:

arXiv:quant-ph/0310192•Journal of Modern Optics•Apr 1, 2004•88 citations
Bell's inequality has made the ability to find nonlocality in what happened by a numerical indicator. CP violation is one of the most important phenomena that occur in nature. It represents asymmetry in the matter and anti-matter in the universe. In this paper, we use a thought experiment to obtain a formalism of Bell's inequality of type CHSH for Majorana neutrino. This inequality is sensible to CP violation.
The Leggett-Garg inequality, an analogue of Bell's inequality involving correlations of measurements on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. The phenomenon of neutrino oscillations should adhere to quantum-mechanical predictions and provide an observable violation of the Leggett-Garg inequality. We demonstrate how oscillation phenomena can be used to test for violations of the classical bound by performing measurements on an ensemble of neutrinos at distinct energies, as opposed to a single neutrino at distinct times. A study of the MINOS experiment's data shows a greater than 6σ violation over a distance of 735 km, representing the longest distance over which either the Leggett-Garg inequality or Bell's inequality has been tested.
The Leggett-Garg inequality, an analogue of Bell's inequality involving correlations of measurements on a system at different times, stands as one of the hallmark tests of quantum mechanics against classical predictions. The phenomenon of neutrino oscillations should adhere to quantum-mechanical predictions and provide an observable violation of the Leggett-Garg inequality. We demonstrate how oscillation phenomena can be used to test for violations of the classical bound by performing measurements on an ensemble of neutrinos at distinct energies, as opposed to a single neutrino at distinct times. A study of the MINOS experiment's data shows a greater than 6 σ violation over a distance of 735 km, representing the longest distance over which either the Leggett-Garg inequality or Bell's inequality has been tested.
Neutrino oscillations provide evidence for the mode entanglement of neutrino mass eigenstates in a given flavour eigenstate. Given this mode entanglement, it is pertinent to consider the relation between the oscillation probabilities and other quantum correlations. In this work, we show that all the well-known quantum correlations, such as the Bell's inequality, are directly related to the neutrino oscillation probabilities. The results of the neutrino oscillation experiments, which measure the neutrino survival probability to be less than unity, imply Bell's inequality violation.
Abstract Non-local correlations in entangled systems are usually captured by measures such as Bell’s inequality violation. It was recently shown that in neutrino systems, a measure of non-local advantage of quantum coherence (NAQC) can be considered as a stronger measure of non-local correlations as compared to the Bell’s inequality violation. In this work, we analyze the effects of non standard interaction (NSI) on these measures in the context of two flavour neutrino oscillations for DUNE, MINOS, T2K, KamLAND, JUNO and Daya Bay experimental set-ups. We find that even in the presence of NSI, Bell’s inequality violation occurs in the entire energy range whereas the NAQC violation is observed only in some specific energy range justifying the more elementary feature of NAQC. Further, we find that NSI can enhance the violation of NAQC and Bell’s inequality parameter in the higher energy range of a given experimental set-up; these enhancements being maximal for the KamLAND experiment. However, the possible enhancement in the violation of the Bell’s inequality parameter over the standard model prediction can be up to 11% whereas for NAQC it is 7%. Thus although NAQC is a comparatively stronger witness of nonclassicality, it shows lesser sensitivity to NSI effects in comparison to the Bell’s inequality parameter.