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Macroscopic simulation of violation of Bell’s inequality

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Abstract

A macroscopic quantum model of a two-level system (the analogue of a half-spin particle) is described. The model is employed for simulating not only the system under study, but the measurement process as well. Single- and two-particle state models of a quantum system are constructed. The Einstein-Podolsky-Rosen paradox and Bell’s inequality are discussed within the framework of the model.

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References

  1. A. Petersen, Bull. Atomic Sci. 19, 8 (1963).

    Google Scholar 

  2. D. A. Slavnov, Fiz. Elem. Chastits At. Yadra 38, 295 (2007) [Phys. Part. Nucl. 38, 147 (2007)].

    Google Scholar 

  3. D. A. Slavnov, Teor. Mat. Fiz. 149, 457 (2006) [Theor. Math. Phys. 149, 1690 (2006)].

    MathSciNet  Google Scholar 

  4. G. Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory (Wiley, New York, 1972; Mir, Moscow, 1976).

    MATH  Google Scholar 

  5. S. S. Khoruzhii, Introduction to Algebraic Quantum Field Theory (Nauka, Moscow, 1986; Kluwer Academic, Dordrecht, Boston, 1990).

    Google Scholar 

  6. N. N. Bogolyubov et al., General Principles of Quantum Field Theory (Nauka, Moscow, 1987; Kluwer, Dordrecht, 1990).

    Google Scholar 

  7. J. Dixmier, Les C*-Algébres et leurs Représentations (Gauthier-Villars, 1969; Nauka, Moscow, 1974).

  8. A. N. Kolmogorov, Foundations of the Theory of Probability, 2nd ed. (2nd ed., Nauka, Moscow, 1974; Chelsea, New York, 1956).

    Google Scholar 

  9. J. Neveu, Mathematical Foundations of the Calculus of Probability (Holden-Day, San Francisco, CA, 1965; Mir, Moscow, 1969).

    MATH  Google Scholar 

  10. M. A. Neimark, Normalized Rings (Nauka, Moscow, 1968) [in Russian].

    Google Scholar 

  11. J. Von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, 1955; Nauka, Moscow, 1964).

  12. A. Matzkin, “Local Hidden-Variables Can Account for EPR Quantum Correlations,” arXiv: quant-ph/0703271.

  13. A. Einstein, B. Podol’skii, and N. Rozen, Usp. Fiz. Nauk 16, 440 (1936).

    Google Scholar 

  14. D. Bohm, Quantum Theory (Nauka, Moscow, 1965) [in Russian].

    MATH  Google Scholar 

  15. N. Bohr, “Discussion with Einstein on Epistemological Problems in Atomic Physics,” in Selected Works, in 2 vols. (Nauka, Moscow, 1971), Vol. 2, p. 399 [in Russian].

    Google Scholar 

  16. V. A. Fock, Usp. Fiz. Nauk 16, 436 (1936).

    Google Scholar 

  17. J. S. Bell, Physics 1, 195 (1965).

    Google Scholar 

  18. J. S. Bell, Speakable and Unspeakable in Quantum Mechanics: Collected Paper on Quantum Philosophy (Cambridge Univ., Cambridge, 1993).

    Google Scholar 

  19. J. F. Clauser, M. A. Horne, A. Shimony, et al., Phys. Rev. Lett. 23, 880 (1969).

    Article  ADS  Google Scholar 

  20. A. Aspect, J. Dalibard, and G. Roger, Phys. Rev. Lett. 49, 1804 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  21. D. Bouwmeester, J.-W. Pan, H. Weinfurter, and A. Zeilinger, “Experimental Quantum Teleportation,” in The Physics of Quantum Information, Ed. by D. Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Heidelberg 2000; Postmarket, Moscow, 2002), p. 95 [in Russian].

    Google Scholar 

  22. D. A. Slavnov, Teor. Mat. Fiz. 157, 79 (2008) [Theor. Math. Phys. 157, 1433 (2008)].

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Moscow State University, Moscow, 119991, Russia

    D. A. Slavnov

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  1. D. A. Slavnov
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Correspondence to D. A. Slavnov.

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Original Russian Text © D.A. Slavnov, 2010, published in Fizika Elementarnykh Chastits i Atomnogo Yadra, 2010, Vol. 41, No. 5.

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Slavnov, D.A. Macroscopic simulation of violation of Bell’s inequality. Phys. Part. Nuclei 41, 766–777 (2010). https://doi.org/10.1134/S1063779610050059

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