| Part of a series of articles about |
| Quantum mechanics |
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In physics, the Leggett inequalities, [1] named for Anthony James Leggett, who derived them, are a related pair of mathematical expressions concerning the correlations of properties of entangled particles. (As published by Leggett, the inequalities were exemplified in terms of relative angles of elliptical and linear polarizations.)
Inequalities
They are fulfilled by a large class of physical theories based on particular non-local and realistic assumptions, that may be considered to be plausible or intuitive according to common physical reasoning.
The Leggett inequalities are violated by quantum mechanical theory. The results of experimental tests in 2007 and 2010 have shown agreement with quantum mechanics rather than the Leggett inequalities. [2] [3] Given that experimental tests of Bell's inequalities have ruled out local realism in quantum mechanics, the violation of Leggett's inequalities is considered to have falsified realism in quantum mechanics. [4] In quantum mechanics "realism" means "notion that physical systems possess complete sets of definite values for various parameters prior to, and independent of, measurement". [5]
See also
References
- ^ Leggett, A. J. (2003). "Nonlocal Hidden-Variable Theories and Quantum Mechanics: An Incompatibility Theorem". Foundations of Physics. 33 (10): 1469–1493. Bibcode: 2003FoPh...33.1469L. doi: 10.1023/A:1026096313729. ISSN 0015-9018. S2CID 12037612.
- ^ Gröblacher, Simon; Paterek, Tomasz; Kaltenbaek, Rainer; Brukner, Časlav; Żukowski, Marek; Aspelmeyer, Markus; Zeilinger, Anton (2007). "An experimental test of non-local realism". Nature. 446 (7138): 871–875. arXiv: 0704.2529. Bibcode: 2007Natur.446..871G. doi: 10.1038/nature05677. ISSN 0028-0836. PMID 17443179. S2CID 4412358.
- ^ Romero, J; Leach, J; Jack, B; Barnett, S M; Padgett, M J; Franke-Arnold, S (2010). "Violation of Leggett inequalities in orbital angular momentum subspaces". New Journal of Physics. 12 (12): 123007. Bibcode: 2010NJPh...12l3007R. doi: 10.1088/1367-2630/12/12/123007. ISSN 1367-2630.
- ^ Jon Cartwright (20 Apr 2007). "Quantum physics says goodbye to reality". Physics World. Retrieved 29 Mar 2019.
- ^ Formaggio, J. A.; Kaiser, D. I.; Murskyj, M. M.; Weiss, T. E. (2016). "Violation of the Leggett-Garg Inequality in Neutrino Oscillations". Physical Review Letters. 117 (5): 050402. arXiv: 1602.00041. Bibcode: 2016PhRvL.117e0402F. doi: 10.1103/PhysRevLett.117.050402. ISSN 0031-9007. PMID 27517759. S2CID 6127630.
External links
| Part of a series of articles about |
| Quantum mechanics |
|---|
In physics, the Leggett inequalities, [1] named for Anthony James Leggett, who derived them, are a related pair of mathematical expressions concerning the correlations of properties of entangled particles. (As published by Leggett, the inequalities were exemplified in terms of relative angles of elliptical and linear polarizations.)
Inequalities
They are fulfilled by a large class of physical theories based on particular non-local and realistic assumptions, that may be considered to be plausible or intuitive according to common physical reasoning.
The Leggett inequalities are violated by quantum mechanical theory. The results of experimental tests in 2007 and 2010 have shown agreement with quantum mechanics rather than the Leggett inequalities. [2] [3] Given that experimental tests of Bell's inequalities have ruled out local realism in quantum mechanics, the violation of Leggett's inequalities is considered to have falsified realism in quantum mechanics. [4] In quantum mechanics "realism" means "notion that physical systems possess complete sets of definite values for various parameters prior to, and independent of, measurement". [5]
See also
References
- ^ Leggett, A. J. (2003). "Nonlocal Hidden-Variable Theories and Quantum Mechanics: An Incompatibility Theorem". Foundations of Physics. 33 (10): 1469–1493. Bibcode: 2003FoPh...33.1469L. doi: 10.1023/A:1026096313729. ISSN 0015-9018. S2CID 12037612.
- ^ Gröblacher, Simon; Paterek, Tomasz; Kaltenbaek, Rainer; Brukner, Časlav; Żukowski, Marek; Aspelmeyer, Markus; Zeilinger, Anton (2007). "An experimental test of non-local realism". Nature. 446 (7138): 871–875. arXiv: 0704.2529. Bibcode: 2007Natur.446..871G. doi: 10.1038/nature05677. ISSN 0028-0836. PMID 17443179. S2CID 4412358.
- ^ Romero, J; Leach, J; Jack, B; Barnett, S M; Padgett, M J; Franke-Arnold, S (2010). "Violation of Leggett inequalities in orbital angular momentum subspaces". New Journal of Physics. 12 (12): 123007. Bibcode: 2010NJPh...12l3007R. doi: 10.1088/1367-2630/12/12/123007. ISSN 1367-2630.
- ^ Jon Cartwright (20 Apr 2007). "Quantum physics says goodbye to reality". Physics World. Retrieved 29 Mar 2019.
- ^ Formaggio, J. A.; Kaiser, D. I.; Murskyj, M. M.; Weiss, T. E. (2016). "Violation of the Leggett-Garg Inequality in Neutrino Oscillations". Physical Review Letters. 117 (5): 050402. arXiv: 1602.00041. Bibcode: 2016PhRvL.117e0402F. doi: 10.1103/PhysRevLett.117.050402. ISSN 0031-9007. PMID 27517759. S2CID 6127630.