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.) 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]
^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.
^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 linksedit
"A quantum renaissance", Markus Aspelmeyer and Anton Zeilinger, Physics World, July 2008. 2016-03-04 at the Wayback Machine
"Quantum theory survives latest challenge", Kate McAlpine, Physics World, December 2010.
December 15, 2023
leggett, inequality, leggett, inequalities, named, anthony, james, leggett, derived, them, related, pair, mathematical, expressions, concerning, correlations, properties, entangled, particles, published, leggett, inequalities, were, exemplified, terms, relativ. 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 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 editLeggett Garg inequalityReferences edit 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 Groblacher Simon Paterek Tomasz Kaltenbaek Rainer Brukner Caslav Zukowski 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 edit The Reality Tests Joshua Roebke SEED June 2008 A quantum renaissance Markus Aspelmeyer and Anton Zeilinger Physics World July 2008 Archived 2016 03 04 at the Wayback Machine Quantum theory survives latest challenge Kate McAlpine Physics World December 2010 Retrieved from https en wikipedia org w index php title Leggett inequality amp oldid 1178837151, wikipedia, wiki, book, books, library,
