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Title: Violation of the Leggett-Garg Inequality in Neutrino Oscillations

We present that 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. Lastly, 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.
Authors:
 [1] ;  [1] ;  [1] ;  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Grant/Contract Number:
SC0011091; SC0012567
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 117; Journal Issue: 5; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1505590
Alternate Identifier(s):
OSTI ID: 1272658

Formaggio, J. A., Kaiser, D. I., Murskyj, M. M., and Weiss, T. E.. Violation of the Leggett-Garg Inequality in Neutrino Oscillations. United States: N. p., Web. doi:10.1103/physrevlett.117.050402.
Formaggio, J. A., Kaiser, D. I., Murskyj, M. M., & Weiss, T. E.. Violation of the Leggett-Garg Inequality in Neutrino Oscillations. United States. doi:10.1103/physrevlett.117.050402.
Formaggio, J. A., Kaiser, D. I., Murskyj, M. M., and Weiss, T. E.. 2016. "Violation of the Leggett-Garg Inequality in Neutrino Oscillations". United States. doi:10.1103/physrevlett.117.050402. https://www.osti.gov/servlets/purl/1505590.
@article{osti_1505590,
title = {Violation of the Leggett-Garg Inequality in Neutrino Oscillations},
author = {Formaggio, J. A. and Kaiser, D. I. and Murskyj, M. M. and Weiss, T. E.},
abstractNote = {We present that 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. Lastly, 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.},
doi = {10.1103/physrevlett.117.050402},
journal = {Physical Review Letters},
number = 5,
volume = 117,
place = {United States},
year = {2016},
month = {7}
}