Violation of the Leggett-Garg Inequality in Neutrino Oscillations
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 pre...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2017
|
| Online Access: | http://hdl.handle.net/1721.1/110638 https://orcid.org/0000-0002-3757-9883 https://orcid.org/0000-0002-5054-6744 https://orcid.org/0000-0003-0741-5893 |
| _version_ | 1826211252062388224 |
|---|---|
| author | Formaggio, Joseph A Kaiser, David I. Murskyj, Mykola Michael Weiss, Talia E. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Formaggio, Joseph A Kaiser, David I. Murskyj, Mykola Michael Weiss, Talia E. |
| author_sort | Formaggio, Joseph A |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T15:02:59Z |
| format | Article |
| id | mit-1721.1/110638 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:02:59Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1106382022-10-02T00:17:27Z Violation of the Leggett-Garg Inequality in Neutrino Oscillations Formaggio, Joseph A Kaiser, David I. Murskyj, Mykola Michael Weiss, Talia E. Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Program in Science, Technology and Society Formaggio, Joseph A Kaiser, David I. Murskyj, Mykola Michael Weiss, Talia E. 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. United States. Department of Energy (contract DE-SC001256) United States. Department of Energy (contract DE-SC0011091) 2017-07-11T17:37:14Z 2017-07-11T17:37:14Z 2016-07 2016-02 2016-07-26T22:00:02Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/110638 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 https://orcid.org/0000-0002-3757-9883 https://orcid.org/0000-0002-5054-6744 https://orcid.org/0000-0003-0741-5893 en http://dx.doi.org/10.1103/PhysRevLett.117.050402 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Formaggio, Joseph A Kaiser, David I. Murskyj, Mykola Michael Weiss, Talia E. Violation of the Leggett-Garg Inequality in Neutrino Oscillations |
| title | Violation of the Leggett-Garg Inequality in Neutrino Oscillations |
| title_full | Violation of the Leggett-Garg Inequality in Neutrino Oscillations |
| title_fullStr | Violation of the Leggett-Garg Inequality in Neutrino Oscillations |
| title_full_unstemmed | Violation of the Leggett-Garg Inequality in Neutrino Oscillations |
| title_short | Violation of the Leggett-Garg Inequality in Neutrino Oscillations |
| title_sort | violation of the leggett garg inequality in neutrino oscillations |
| url | http://hdl.handle.net/1721.1/110638 https://orcid.org/0000-0002-3757-9883 https://orcid.org/0000-0002-5054-6744 https://orcid.org/0000-0003-0741-5893 |
| work_keys_str_mv | AT formaggiojosepha violationoftheleggettgarginequalityinneutrinooscillations AT kaiserdavidi violationoftheleggettgarginequalityinneutrinooscillations AT murskyjmykolamichael violationoftheleggettgarginequalityinneutrinooscillations AT weisstaliae violationoftheleggettgarginequalityinneutrinooscillations |