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Bringing Bell’s Theorem Back to the Domain of Particle Physics and Cosmology

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Quantum [Un]Speakables II

Part of the book series: The Frontiers Collection ((FRONTCOLL))

Abstract

John St. Bell was a physicist working most of his time at CERN and contributing intensively and sustainably to the development of Particle Physics and Collider Physics. As a hobby he worked on so-called “foundations of quantum theory”, that was that time very unpopular, even considered to be scientifically taboo. His 1964-theorem, showing that predictions of local realistic theories are different to those of quantum theory, initiated a new field in quantum physics: quantum information theory. The violation of Bell’s theorem, for instance, is a necessary and sufficient criterion for generating a secure key for cryptography at two distant locations. This contribution shows how Bell’s theorem can be brought to the realm of high energy physics and presents the first conclusive experimental feasible test for weakly decaying neutral mesons on the market. Strong experimental and theoretical limitations make a Bell test in weakly decaying systems such as mesons and hyperons very challenging, however, these systems show an unexpected and puzzling relation to another big open question: why is our Universe dominated by matter, why did the antimatter slip off the map? This long outstanding problem becomes a new perspective via quantum information theoretic considerations.

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Notes

  1. 1.

    In his paper “Violation of \(\mathcal {CP}\) invariance, \(\mathcal {C}\), and baryon asymmetry of the universe” in JETP Letters 5, 24 (1967), re-published in Soviet Physics Uspekhi 34, 392 (1991), he did not explicitly list the three conditions.

References

  1. B.C. Hiesmayr et al., Revealing Bell’s nonlocality for unstable systems in high energy physics. Eur. Phys. J. C 72, 1856 (2012)

    Article  ADS  Google Scholar 

  2. R.A. Bertlmann, B.C. Hiesmayr, Bell inequalities for entangled kaons and their unitary time evolution. Phys. Rev. A 63, 062112 (2001)

    Article  ADS  Google Scholar 

  3. B.C. Hiesmayr, Nonlocality and entanglement in a strange system. Eur. Phys. J. C 50, 73 (2007)

    Article  ADS  Google Scholar 

  4. B.C. Hiesmayr, A generalized Bell inequality and decoherence for the K0 anti-K0 system. Found. Phys. Lett. 14, 231 (2001)

    Article  Google Scholar 

  5. W. Pauli, Wissenschaftlicher Briefwechsel, vol. I, 1919–1929 (Springer, 1979), p. 505. (Translation of the letter by L. O’Raifeartaigh) or vol. II: Part IV, A: 1957 (Springer, 2005), p. 121. (Translation of the letter by V.F. Weisskopf)

    Google Scholar 

  6. KLOE-2 Collaboration, Test of CPT and Lorentz symmetry in entangled neutral kaons with the KLOE experiment, Phys. Lett. B 730, 89 (2014)

    Google Scholar 

  7. A. Di Domenico, K.L.O.E. Collaboration, CPT symmetry and quantum mechanics tests in the neutral kaon system at KLOE. Found. Phys. 40, 852 (2010)

    Article  ADS  MATH  Google Scholar 

  8. J. Bernabeu, A. Di Domenico, P. Villanueva-Perez, Direct test of time reversal symmetry in the entangled neutral kaon system at a \(\phi \)-factory. Nucl. Phys. B 868, 102 (2013)

    Article  ADS  MATH  Google Scholar 

  9. J.F. Clauser, M.A. Horne, A. Shimony, R.A. Holt, Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23, 880 (1969)

    Article  ADS  Google Scholar 

  10. A. Ekert, Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. R.A. Bertlmann, W. Grimus, B.C. Hiesmayr, Open-quantum-system formulation of particle decay. Phys. Rev. A 73, 054101 (2006)

    Article  ADS  Google Scholar 

  12. H.-P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford, 2002)

    Google Scholar 

  13. A. Rivas, S.F. Huelga, Open Quantum Systems: An Introduction. Springer Briefs in Physics (2012)

    Google Scholar 

  14. D. Salgado, J.L. Sanchez-Gomez, M. Ferrero, Evolution of any finite open quantum system always admits a Kraus-type representation, although it is not always completely positive. Phys. Rev. A 70, 054102 (2004)

    Article  ADS  Google Scholar 

  15. B.C. Hiesmayr, Sci. Rep. 5, 11591 (2015)

    Google Scholar 

  16. R.A. Bertlmann, Ph. Krammer, Bloch vectors for qudits. J. Phys. A: Math. Theor. 41, 235303 (2008)

    Google Scholar 

  17. B. Bassalleck et al., (PS185 Collaboration), Measurement of spin-transfer observables in \(p\bar{p} \longrightarrow \bar{\Lambda }\Lambda \) at 1.637 GeV/c. Phys. Rev. Lett. 89, 212302 (2002)

    Article  ADS  Google Scholar 

  18. K.D. Paschke et al., (PS185 Collaboration), Experimental determination of the complete spin structure for \(p\bar{p} \longrightarrow \bar{\Lambda }\Lambda \) at \(p_{\bar{p}}=1.637\) GeV/c. Phys. Rev. C 74, 015206 (2006)

    Article  ADS  Google Scholar 

  19. T. Johansson, Antihyperon-hyperon production in antiproton-proton collisions, in AIP Conference Proceedings of Eigth International Conference on Low Energy Antiproton Physics (2003)

    Google Scholar 

  20. N.A. Törnqvist, Suggestion for Einstein-Podolsky-Rosen experiments using reactions like \(e^+ e^- \rightarrow \Lambda \bar{\Lambda }\rightarrow \pi ^- p \pi ^+ \bar{p}\). Found. Phys. 11, 171 (1981)

    Article  ADS  Google Scholar 

  21. K.A. Olive et al., (Particle Data Group). Review of particle physics. Chin. Phys. C 38, 090001 (2014)

    Article  ADS  Google Scholar 

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Acknowledgments

The author gratefully acknowledges the Austrian Science Fund projects FWF-P26783 and wishes to thank the COST Action MP1006 “Fundamental Problems in Quantum Physics”.

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Correspondence to Beatrix Hiesmayr .

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Hiesmayr, B. (2017). Bringing Bell’s Theorem Back to the Domain of Particle Physics and Cosmology. In: Bertlmann, R., Zeilinger, A. (eds) Quantum [Un]Speakables II. The Frontiers Collection. Springer, Cham. https://doi.org/10.1007/978-3-319-38987-5_16

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