Multiparticle Interferometry and the Superposition Principle

AUG 01, 1993

We’re just beginning to understand the ramifications of the superposition principle at the heart of quantum mechanics. Multiparticle interference experiments can exhibit wonderful new phenomena.

DOI: 10.1063/1.881360

Daniel M. Greenberger

Michael A. Horne

Anton Zeilinger

Discussing the particle analog of Thomas Young’s classic double‐slit experiment, Richard Feynman wrote in 1964 that it “has in it the heart of quantum mechanics. In reality, it contains the only mystery.” That mystery is the one‐particle superposition principle. But Feynman’s discussion and statement have to be generalized. Superposition may be the only true quantum mystery, but in multiparticle systems the principle yields phenomena that are much richer and more interesting than anything that can be seen in one‐particle systems.

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References

1. R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectures on Physics, Addison‐Wesley, Reading, Mass. (1963).
2. A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777 (1935); https://doi.org/PHRVAO
reprinted in J. A. Wheeler, W. H. Zurek, Quantum Measurement Theory, Princeton U.P., Princeton (1983).
3. D. Bohm, Quantum Theory, Prentice‐Hall, New York (1951).
4. D. C. Burnham, D. L. Weinberg, Phys. Rev. Lett. 25, 84 (1970).https://doi.org/PRLTAO
5. M. A. Horne, A. Zeilinger, in Proc. Symp. on Foundations of Modern Physics, P. Lahti, P. Mittelstaedt, eds., World Scientific, Singapore (1985), p. 435.
M. A. Horne, A. Shimony, A. Zeilinger, Phys. Rev. Lett. 62, 2209 (1989).https://doi.org/PRLTAO
6. C. O. Alley, Y. H. Shih, Proc. 2nd Int. Symp. on Foundations of Quantum Mechanics in the Light of New Technology, M. Namikie et al., eds., Phys. Soc. Jpn., Tokyo (1986), p. 47.
Y. H. Shih, C. O. Alley, Phys. Rev. Lett. 61, 2921 (1988).https://doi.org/PRLTAO
7. R. Ghosh, L. Mandel, Phys. Rev. Lett. 59, 1903 (1987).https://doi.org/PRLTAO
8. P. Storey, M. Collett, D. Walls, Phys. Rev. Lett. 68, 472 (1992).https://doi.org/PRLTAO
9. J. S. Bell, Physics 1, 195 (1964).
All of Bell’s basic writings on the subject are reprinted in J. S. Bell, Speakable and Unspeakable in Quantum Mechanics, Cambridge U.P., New York (1987).
10. J. Clauser, S. Freedman, Phys. Rev. Lett. 28, 938 (1972). https://doi.org/PRLTAO
A. Aspect, J. Dalibard, G. Roger, Phys. Rev. Lett. 47, 1804 (1982). https://doi.org/PRLTAO
For an analysis, see F. Selleri, Quantum Paradoxes and Physical Reality, Kluwer Academic, Dordrecht, The Netherlands (1990).
11. J. G. Rarity, P. R. Tapster, Phys. Rev. Lett. 64, 2495 (1990).https://doi.org/PRLTAO
12. L. Mandel, Phys. Rev. A 28, 929 (1983).https://doi.org/PLRAAN
13. J. D. Franson, Phys. Rev. Lett. 62, 2205 (1989).https://doi.org/PRLTAO
14. Z. Y. Ou, L. J. Wang, L. Mandel, Phys. Rev. Lett. 65, 321 (1990). https://doi.org/PRLTAO
P. G. Kwiat, W. A. Vareka, C. K. Hong, H. Nathel, R. Y. Chiao, Phys. Rev. A 41, 2910 (1990).https://doi.org/PLRAAN
15. P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, Phys. Rev. A 47, 2472 (1993).https://doi.org/PLRAAN
16. X. Y. Zou, L. J. Wang, L. Mandel, Phys. Rev. Lett. 67, 318 (1991). https://doi.org/PRLTAO
L. J. Wang, X. Y. Zou, L. Mandel, Phys. Rev. A 44, 4614 (1991). https://doi.org/PLRAAN
T. Herzog, J. Rarity, H. Wienfurter, A. Zeilinger, in Proc. Workshop on Quantum Optics, Ulm, April 1993 (to be published).
17. P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, Phys. Rev. A 45, 7729 (1992). https://doi.org/PLRAAN
J. Summhammer, G. Badurek, H. Rauch, U. Kischico, Phys. Lett. A 90, 110 (1982).https://doi.org/PYLAAG
18. M. O. Scully, R. Shea, J. D. McCullen, Phys. Rep. 43, 485 (1978).
M. O. Scully, B.‐G. Englert, H. Walther, Nature 351, 111 (1991). https://doi.org/NATUAS
D. M. Greenberger, A. YaSin, Found. Phys. 19, 679 (1989).https://doi.org/FNDPA4
19. C. K. Hong, Z. Y. Ou, L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).https://doi.org/PRLTAO
20. A. Zeilinger, H. J. Bernstein, D. M. Greenberger, M. A. Horne, M. Zukowski, in Proc. 4th Int. Symp. on Foundations of Quantum Mechanics in the Light of New Technology, H. Ezawa et al., eds., World Scientific, Singapore (1993).
21. D. M. Greenberger, M. A. Horne, A. Zeilinger, in Bell’s Theorem, Quantum Theory, and Conceptions of the Universe, M. Katafos, ed., Kluwer Academic, Dordrecht, The Netherlands (1989) p. 173.
D. M. Greenberger, M. A. Horne, A. Shimony, A. Zeilinger, Am. J. Phys. 58, 1131 (1990). https://doi.org/AJPIAS
N. D. Mermin, Am. J. Phys. 58, 731 (1990).https://doi.org/AJPIAS
22. D. M. Greenberger, H. J. Bernstein, M. A. Horne, A. Zeilinger, in Proc. 4th Int. Symp. on Foundations of Quantum Mechanics in the Light of New Technology, H. Ezawa et al., eds., World Scientific, Singapore (1993).
B. Yurke, D. Stoler, Phys. Rev. Lett. 68, 1251 (1992). https://doi.org/PRLTAO
L. Wang, K. Wodkiewicz, J. H. Eberly, in Tech. Digest Annu. Mtg. of the OSA, Albuquerque, September 1992, abstr. MUU4.
23. A. K. Ekert, J. G. Rarity, P. R. Tapster, G. M. Palme, Phys. Rev. Lett. 69, 1293 (1992). https://doi.org/PRLTAO
C. H. Bennett, G. Brassard, N. D. Mermin, Phys. Rev. Lett. 68, 557 (1992). https://doi.org/PRLTAO
C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W. Wooters, Phys. Rev. Lett. 70, 1895 (1993).https://doi.org/PRLTAO
24. R. J. Glauber, Phys. Rev. 130, 2529 (1963); https://doi.org/PHRVAO
R. J. Glauber, 131, 2766 (1963).
E. C. G. Sudarshan, T. Rothman, Am. J. Phys. 59, 592 (1991) https://doi.org/AJPIAS
D. Walls, Am. J. Phys. 45, 952 (1977).https://doi.org/AJPIAS

More about the Authors

Daniel M. Greenberger. City College of New York.

Michael A. Horne. Stonehill College, North Easton, Massachusetts.

Anton Zeilinger. University of lnnsbruck, Austria.