Discover
/
Article

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.

References

  1. 1. R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectures on Physics, Addison‐Wesley, Reading, Mass. (1963).

  2. 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. 3. D. Bohm, Quantum Theory, Prentice‐Hall, New York (1951).

  4. 4. D. C. Burnham, D. L. Weinberg, Phys. Rev. Lett. 25, 84 (1970).https://doi.org/PRLTAO

  5. 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. 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. 7. R. Ghosh, L. Mandel, Phys. Rev. Lett. 59, 1903 (1987).https://doi.org/PRLTAO

  8. 8. P. Storey, M. Collett, D. Walls, Phys. Rev. Lett. 68, 472 (1992).https://doi.org/PRLTAO

  9. 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. 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. 11. J. G. Rarity, P. R. Tapster, Phys. Rev. Lett. 64, 2495 (1990).https://doi.org/PRLTAO

  12. 12. L. Mandel, Phys. Rev. A 28, 929 (1983).https://doi.org/PLRAAN

  13. 13. J. D. Franson, Phys. Rev. Lett. 62, 2205 (1989).https://doi.org/PRLTAO

  14. 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. 15. P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, Phys. Rev. A 47, 2472 (1993).https://doi.org/PLRAAN

  16. 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. 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. 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. 19. C. K. Hong, Z. Y. Ou, L. Mandel, Phys. Rev. Lett. 59, 2044 (1987).https://doi.org/PRLTAO

  20. 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. 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. 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. 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. 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.

This Content Appeared In
pt-cover_1993_08.jpeg

Volume 46, Number 8

Related content
/
Article
Technical knowledge and skills are only some of the considerations that managers have when hiring physical scientists. Soft skills, in particular communication, are also high on the list.
/
Article
Professional societies can foster a sense of belonging and offer early-career scientists opportunities to give back to their community.
/
Article
Research exchanges between US and Soviet scientists during the second half of the 20th century may be instructive for navigating today’s debates on scientific collaboration.
/
Article
The Eisenhower administration dismissed the director of the National Bureau of Standards in 1953. Suspecting political interference with the agency’s research, scientists fought back—and won.
/
Article
Alternative undergraduate physics courses expand access to students and address socioeconomic barriers that prevent many of them from entering physics and engineering fields. The courses also help all students develop quantitative skills.
/
Article
Defying the often-perceived incompatibility between the two subjects, some physicists are using poetry to communicate science and to explore the human side of their work.

Get PT in your inbox

Physics Today - The Week in Physics

The Week in Physics" is likely a reference to the regular updates or summaries of new physics research, such as those found in publications like Physics Today from AIP Publishing or on news aggregators like Phys.org.

Physics Today - Table of Contents
Physics Today - Whitepapers & Webinars
By signing up you agree to allow AIP to send you email newsletters. You further agree to our privacy policy and terms of service.