Proposed test of Bell’s inequality without a detection loophole by using entangled Rydberg atoms

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 53, Issue 3, 1996, Pages 1232-1244

  Freyberger, M ^a   Aravind, P K ^b   Horne, M A ^c   Shimony, A ^d  

^a UNIVERSITY OF ULM   (Germany)

^b Life Science and Bioengineering Center   (United States)

^c STONEHILL COLLEGE   (United States)

^d BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000649717     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.53.1232     Document Type: Article

References (30)

1. F. Selleri, Quantum Paradoxes and Physical Reality (Kluwer, Dordrecht, 1989).
2. see also A. J. Duncan and H. Kleinpoppen, in Quantum Mechanics versus Local Realism, edited by F. Selleri (Plenum Press, New York, 1988). Among more recent tests are J. G. Rarity and P. R. Tapster, Phys. Rev. Lett. 64, 2495 (1990).
3. T. E. Kiess, Y. H. Shih, A. V. Sergienko and C. O. Alley, Phys. Rev. Lett. 71, 3893 (1993).
4. P. R. Tapster, J. G. Rarity, and P. C. M. Owen, Phys. Rev. Lett. 73, 1923 (1994).
5. J. S. Bell, Physics 1, 195 (1964); reprinted in his Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, U.K., 1987).
6. A. Aspect, J. Dalibard and G. Roger, Phys. Rev. Lett. 49, 1804 (1982).
7. J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974).
8. T. W. Marshall, E. Santos and F. Selleri, Phys. Lett. 98A, 5 (1983).
9. and T. Maudlin, Quantum Nonlocality and Relativity (Blackwell Publ., Cambridge, MA, 1994).
10. A. Garg and N. D. Mermin, Phys. Rev. D 35, 3831 (1987), show that no such model is possible if the detector efficiency exceeds 82.84%.
11. B. J. Oliver and C. R. Stroud, J. Opt. Soc. Am. B 4, 1426 (1987).
12. Recently it has been proposed to entangle three circular Rydberg atoms by their interaction with a quantized electromagnetic field. This would open the field of GHZ type of experiments in order to test local realistic theories, see S. Haroche, in Fundamental Problems in Quantum Theory, edited by D. Greenberger and A. Zeilinger [Ann. N. Y. Acad. Sci. Vol. 755, 73 (1995)].
13. A recent proposal to block the detection loophole with a photon experiment was made by S. F. Huelga, M. Ferrero and E. Santos, Europhys. Lett. 27, 181 (1994).
14. S. F. Huelga, M. Ferrero and E. Santos, Phys. Rev. A 51, 5008 (1995).
15. J. S. Bell, in Foundations of Quantum Mechanics, edited by B. d'Espagnat (Academic Press, New York, 1971); reprinted in J. S. Bell, Speakable and Unspeakable in Quantum Mechanics, Ref. 2.
16. A. Shimony, in Sixty-two Years of Uncertainty, edited by A. Miller (Plenum Press, New York, 1990), p. 33.
17. Inequality (1) first appeared in J. F. Clauser, M. A. Horne, A. Shimony and R. Holt, Phys. Rev. Lett. 23, 880 (1969).
18. Quantum mechanical calculations of a violation of Bell's inequality when the ensemble of pairs is described by a mixed state have been made by S. Popescu and Daniel Rohrlich, Phys. Lett. A 166, 293 (1992).
19. A. Mann, K. Nakamura and M. Revzen, J. Phys. A 25, L851 (1992).
20. S. L. Braunstein, A. Mann and M. Revzen, Phys. Rev. Lett. 68, 3259 (1992).
21. S. Popescu, Phys. Rev. Lett. 74, 2619 (1995).
22. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975), p. 40.
23. B. S. Tsirelson (Cirel'son), Lett. Math. Phys. 4, 93 (1980).
24. R. G. Hulet and D. Kleppner, Phys. Rev. Lett. 51, 1430 (1983).
25. J. Liang, M. Gross and P. Goy, Phys. Rev. Lett. 61, 1938 (1988).
26. R. J. Brecha, G. Raithel, C. Wagner and H. Walther, Opt. Commun. 102, 257 (1993).
27. P. Nussenzveig, F. Bernardot, M. Brune, J. Hare, J. M. Raimond, S. Haroche and W. Gawlik, Phys. Rev. A 48, 3991 (1993).
28. M. Brune, P. Nussenzveig, F. Schmidt-Kaler, F. Bernardot, A. Maali, J. M. Raimond and S. Haroche, Phys. Rev. Lett. 72, 3339 (1994).
29. H. Walther and W. P. Schleich, private communication.
30. E. S. Fry, in Proceedings of the Third International Workshop on Squeezed States and Uncertainty Relations, edited by D. Han, Y. S. Kim, N. H. Rubin, and W. W. Zachary, NASA Conf. Pub. Ser. No. 3270, 1994 (NASA, Greenbelt, MD, 1994), p. 575. See also Quantum Opt. 7, 229 (1995).