Skip to main content

Advertisement

Log in

Bell’s Inequality Tests with Meson–Antimeson Pairs

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Recent proposals to test Bell’s inequalities with entangled pairs of pseudoscalar mesons are reviewed. This includes pairs of neutral kaons or B-mesons and offers some hope to close both the locality and the detection loopholes. Specific difficulties, however, appear thus invalidating most of those proposals. The best option requires the use of kaon regeneration effects and could lead to a successful test if moderate K0 and k̄0 detection efficiencies are achieved.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Einstein A., Podolsky B., Rosen N. (1935). Phys. Rev 47: 777

    Article  MATH  ADS  Google Scholar 

  2. Bohr N. (1935). Phys. Rev 48:696

    Article  MATH  ADS  Google Scholar 

  3. Bell J. (1964). Physics 1:195

    Google Scholar 

  4. Redhead M. (1990). Incompleteness, Non–Locality and Realism. Oxford University Press, Oxford

    Google Scholar 

  5. Wigner E.P. (1970). Am. J. Phys 38:1005

    Article  ADS  Google Scholar 

  6. Bell J.S. (1987). Speakable and Unspeakable in Quantum Mechanics (Collected Papers on Quantum Philosophy). Cambridge University Press, Cambridge

    Google Scholar 

  7. Clauser J.F., Horne M.A., Shimony A., Holt R.A. (1969). Phys. Rev. Lett 23:880

    Article  ADS  Google Scholar 

  8. Clauser J.F., Horne M.A. (1974). Phys. Rev. D 10:526

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  10. Clauser J.F., Shimony A. (1978). Rep. Prog. Phys 41:1881

    Article  ADS  Google Scholar 

  11. Weihs G., Jennewein T., Simon C., Weinfurter H., Zeilinger A. (1998). Phys. Rev. Lett 81:5039

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. W. Tittel, J. Brendel, N. Gisin, and H. Zbinden, Phys. Rev. A 59, 4150 (1999); W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, Phys. Rev. Lett. 81, 3563 (1998).

  13. Bertlmann R.A., Zeilinger A. (eds). (2002). Quantum (Un)speakables—From Bell to Quantum Information. Springer, Berlin

    MATH  Google Scholar 

  14. Rowe M.A., Kielpinski D., Meyer V., Sackett C.A., Itano W.M., Monroe C., Wineland D.J. (2001). Nature 409:791

    Article  ADS  Google Scholar 

  15. Vaidman L. (2001). Phys. Lett. A 286:241

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. Santos E. (2005). Stud. History Philos. Modern Phys 36(3):554–565

    Google Scholar 

  17. Pearle P. (1970). Rep Rev D 2:1418

    ADS  Google Scholar 

  18. Garg A., Mermin N.D. (1987). Phys. Rev. D 35:3831

    Article  ADS  Google Scholar 

  19. Eberhard P.H. (1993). Phys. Rev. A 47: R747

    Article  ADS  Google Scholar 

  20. E. Santos, Phys. Rev. A 46, 3646 (1992); Phys. Lett. A 212, 10 (1996); N. Gisin and B. Gisin, Phys. Lett. A 260, 323 (1999).

  21. G. C. Ghirardi, R. Grassi, and T. Webern, in Proceedings of the Workshop on Physics and Detectors for DaΦne, G. Pancheri, ed. (INFN, Laboratori Nazionali di Frascati, Frascati, Italy, 1991) p. 261.

  22. Eberhard P.H. (1993). Nucl. Phys. B 398:155

    Article  ADS  Google Scholar 

  23. Di Domenico A. (1995). Nucl. Phys. B 450:293

    Article  ADS  Google Scholar 

  24. Uchiyama F. (1997). Phys. Lett. A 231:295

    Article  ADS  Google Scholar 

  25. F. Selleri, Phys. Rev. A 56, 3493 (1997); R. Foadi and F. Selleri, Phys. Lett. B 461, 123 (1999); Phys. Rev. A 61, 012106 (2000).

  26. Afriat A., Selleri F. (1998). The Einstein, Podolsky and Rosen Paradox in Atomic, Nuclear and Particle Physic. Plenum Press, New York

    Google Scholar 

  27. F. Benatti and R. Floreanini, Phys. Rev. D 57, R1332 (1998); Eur. Phys. J. C 13, 267 (2000).

    Google Scholar 

  28. R. A. Bertlmann, W. Grimus, and B. C. Hiesmayr, Phys. Rev. D 60, 114032 (1999); Phys. Lett. A 289, 21 (2001); B. C. Hiesmayr, Found. Phys. Lett. 14, 231 (2001); R. A. Bertlmann, and B. C. Hiesmayr, Phys. Rev. A 63, 062112 (2001); R. A. Bertlmann, K. Durstberger, and B. C. Hiesmayr, Phys. Rev. A 68, 012111 (2003).

  29. Bramon A., Nowakowski M. (1999). Phys. Rev. Lett 83:1

    Article  MATH  ADS  MathSciNet  Google Scholar 

  30. Ancochea B., Bramon A., Nowakowski M. (1999). Phys. Rev. D 60:094008

    Article  ADS  Google Scholar 

  31. Gisin N., Go A. (2001). Am. J. Phys 69: 264

    Article  ADS  Google Scholar 

  32. Dalitz R., Garbarino G. (2001). Nucl. Phys. B 606:483

    Article  ADS  Google Scholar 

  33. M. Genovese, C. Novero, and E. Predazzi, Phys. Lett. B 513, 401 (2001); Found. Phys. 32, 589 (2002).

  34. Bramon A., Garbarino G. (2002). Phys. Rev. Lett 88:040403

    Article  ADS  Google Scholar 

  35. Bramon A., Garbarino G. (2002). Phys. Rev. Lett 89:160401

    Article  ADS  Google Scholar 

  36. B. C. Hiesmayr, Ph.D. Thesis, University of Vienna, 2002.

  37. Genovese M. (2004). Phys. Rev. A 69:022103

    Article  ADS  Google Scholar 

  38. R. A. Bertlmann, Lecture Notes in Physics, Springer Verlag.

  39. Datta A., Home D. (1986). Phys. Lett. A 119:3

    Article  ADS  Google Scholar 

  40. Pompili A., Selleri F. (2000). Eur. Phys. J. C 14:469

    Article  ADS  Google Scholar 

  41. Go A. (2004). J. Mod. Optics 51:991 quant-ph/0310192

    MATH  ADS  Google Scholar 

  42. Bertlmann R.A., Bramon A., Garbarino G., Hiesmayr B.C. (2004). Phys. Lett. A 332:355

    Article  MATH  ADS  Google Scholar 

  43. Bramon A., Escribano R., Garbarino G. (2005). J. Mod. Opt 52:1681

    Article  MATH  ADS  Google Scholar 

  44. L. Maiani, G. Pancheri, and N. Paver, eds., The Second DaΦne Physics Handbook (INFN, Laboratori Nazionali di Frascati, Frascati, Italy, 1995).

  45. Kurokawa S., Kikutani E. (2003). Nucl. Instrum. Meth A 499:1

    Article  ADS  Google Scholar 

  46. Apostolakis A. et al. (1998). Phys. Lett. B 422:339

    Article  ADS  Google Scholar 

  47. S. Eidelman et al., (Particle Data Group), Phys. Lett. B 592, 1 (2004).

    Google Scholar 

  48. Kabir P.K. (1968). The CP Puzzle. Academic Press, London

    Google Scholar 

  49. Bramon A., Garbarino G., Hiesmayr B.C. (2004). Phys. Rev. A 69:062111

    Article  ADS  Google Scholar 

  50. A. Angelopoulos et al., Phys. Rept. 374, 165 (2003); Phys. Lett. 503, 49 (2001): 444, 38 (1998).

  51. Bramon A., Garbarino G., Hiesmayr B.C. (2004). Eur. Phys. J. C 32:377

    Article  ADS  Google Scholar 

  52. Bramon A., Garbarino G., Hiesmayr B.C. (2004). Phys. Rev. Lett 92:020405

    Article  ADS  Google Scholar 

  53. A. Di Domenico, hep-ex/0312032, published in eConf C0309101:THWP007 (2003).

  54. L. Kasday, in Foundations of Quantum Mechanics, B. d’Espagnat ed. (Academic Press, New York, 1971), p. 195. Proceedings of the International School of Physics ‘Enrico Fermi’, Course, IL.

  55. L. Hardy, Phys. Rev. Lett. 68, 2981 (1992); Phys. Rev. Lett. 71, 1665 (1993).

  56. P. H. Eberhard and P. Rosselet, Universite de Lausanne Report No. IPNL–93–3, 1993; Found. Phys. 25, 91 (1995).

  57. L. Hardy, Phys. Rev. Lett. 73, 2279 (1994); N. D. Mermin, Am. J. Phys. 62, 880 (1994); A. Garuccio, Phys. Rev. A 52, 2535 (1995).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bramon, A., Escribano, R. & Garbarino, G. Bell’s Inequality Tests with Meson–Antimeson Pairs. Found Phys 36, 563–584 (2006). https://doi.org/10.1007/s10701-005-9030-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10701-005-9030-z

Keywords

Navigation