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Violation of the Leggett-Garg Inequality in Neutrino Oscillations

Author(s)
Formaggio, Joseph A; Kaiser, David I.; Murskyj, Mykola Michael; Weiss, Talia E.
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Abstract
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.
Date issued
2016-07
URI
http://hdl.handle.net/1721.1/110638
Department
Massachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. Program in Science, Technology and Society
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Formaggio, J. A.; Kaiser, D. I.; Murskyj, M. M. et al. "Violation of the Leggett-Garg Inequality in Neutrino Oscillations." Physical Review Letters 117, 050402 (July 2016): 1-6 © 2016 American Physical Society
Version: Final published version
ISSN
0031-9007
1079-7114

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