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9 - Optical test of quantum mechanics

Published online by Cambridge University Press:  05 September 2012

Christopher Gerry
Affiliation:
Lehman College, City University of New York
Peter Knight
Affiliation:
Imperial College of Science, Technology and Medicine, London
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Summary

Over the past three decades or so, experiments of the type called Gedanken have become real. Recall the Schrödinger quote from Chapter 8: “… we never experiment with just one electron or atom or (small) molecule.” This is no longer true. We can do experiments involving single atoms or molecules and even on single photons, and thus it becomes possible to demonstrate that the “ridiculous consequences” alluded to by Schrödinger are, in fact, quite real. We have already discussed some examples of single-photon experiments in Chapter 6, and in Chapter 10 we shall discuss experiments performed with single atoms and single trapped ions. In the present chapter, we shall elaborate further on experimental tests of fundamentals of quantum mechanics involving a small number of photons. By fundamental tests we mean tests of quantum mechanics against the predictions of local realistic theories (i.e. hidden variable theories). Specifically, we discuss optical experiments demonstrating violations of Bell's inequalities, violations originally discussed by Bell in the context of two spin-one-half particles. Such violations, if observed experimentally, falsify local realistic hidden-variable theories. Locality refers to the notion, familiar in classical physics, that there cannot be a causal relationship between events with space-like separations. That is, the events cannot be connected by any signal moving at, or less than, the speed of light; i.e. the events are outside the light-cone. But in quantum mechanics, it appears that nonlocal effects, effects seemly violating the classical notion of locality in a certain restricted sense, are possible.

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Publisher: Cambridge University Press
Print publication year: 2004

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References

J. S. Bell, Physics (NY), 1 (1964), 195. See also J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge: Cambridge University Press, 1987)
Bohm, D., Phys. Rev. 85 (1952), 166, 180CrossRef
Burnham, D. C. and Weinberg, D. L., Phys. Rev. Lett., 25 (1970), 84CrossRef
Joobeur, A., Saleh, B. and Teich, M., Phys. Rev. A, 50 (1994), 3349CrossRef
See, for example, R. W. Boyd, Nonlinear Optics, 2nd edition (San Diego: Academic Press, 2003)
Hong, C. K., Ou, Z. Y. and Mandel, L., Phys. Rev. Lett., 59 (1987), 2044. A related experiment was later performed by J. G. Rarity, P. R. Tapster, E. Jakeman, T. Larchuk, R. A. Campos, M. C. Teich and B. E. A. Saleh, Phys. Rev. Lett., 65 (1990), 1348CrossRef
Kwiat, P. G., Steinberg, A. M. and Chiao, R. Y., Phys. Rev. A, 45 (1992), 7729CrossRef
D. M. Greenberger, M. A. Horne and A. Zeilinger, Physics Today (August 1993), p. 22
Zou, X. Y., Wang, L. J. and Mandel, L., Phys. Rev. Lett., 67 (1991), 318CrossRef
R. Y. Chiao and A. M. Steinberg, Progress in Optics XXXVII, E. Wolf (editor) (Amsterdam: Elsevier, 1997), p. 345; G. Nimtz and W. Heitmann, Prog. Quant. Electr., 21 (1997), 81
Steinberg, A. M., Kwiat, P. G. and Chiao, R. Y., Phys. Rev. Lett., 71 (1993), 708CrossRef
See Winful, H., Phys. Rev. Lett., 90 (2003), 023901; M. Büttiker and S. Washburn, Nature, 422 (2003), 271; and the exchange between Winful and Büttiker and Washburn, Nature424 (2003), 638CrossRef
See any good optics text such as F. L. Pedrotti and L. S. Pedrotti, Introduction to Optics, 2nd edition (Englewood Cliffs: Prentice Hall, 1993). For a discussion of polarized single-photon states and the use of calcite crystals to detect them, along with a discussion of their use in elucidating a number of puzzling features in quantum mechanics, see A. P. French and E. F. Taylor, An Introduction to Quantum Physics (New York: W. W. Norton, 1978), chapter 6
See Tittel, W. and Weihs, G., Quant. Inf. Comp., 1 (2001), 3; Y. Shih, Rep. Prog. Phys., 66 (2003), 1009
Einstein, A., Podolsky, B. and Rosen, N., Phys. Rev., 47 (1935), 777CrossRef
D. Bohm, Quantum Theory (New York: Prentice-Hall, 1951), chapter 22
Clauser, J. F., Horne, M. A., Shimony, A. and Holt, R. A., Phys. Rev. Lett., 23 (1969), 880CrossRef
Freedman, S. J. and Clauser, J. F., Phys. Rev. Lett., 28 (1972), 938CrossRef
Aspect, A., Grangier, P. and Roger, G., Phys. Rev. Lett., 49 (1982), 91CrossRef
Aspect, A., Dalibard, J. and Roger, G., Phys. Rev. Lett., 49 (1982), 1804CrossRef
Ou, Z. Y., and Mandel, L., Phys. Rev. Lett., 61 (1988), 50CrossRef
Shih, Y. H. and Alley, C. O., Phys. Rev. Lett., 61 (1988), 2921CrossRef
Dehlinger, D. and Mitchell, M. W., Am. J. Phys., 70 (2002), 898, 903CrossRef
Kwiat, P. G., Mattle, K., Weinfurter, H., Zeilinger, A., Sergienko, A. V. and Shih, Y. H., Phys. Rev. Lett., 75 (1995), 4337; P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum and P. H. Eberhard, Phys. Rev. A, 60 (1999), R773CrossRef
Rarity, J. G. and Tapster, P. R., Phys. Rev. Lett., 64 (1990), 2495CrossRef
Franson, J. D., Phys. Rev. Lett., 62 (1989), 2205CrossRef
Kwiat, P. G., Chiao, A. M. Steinberg and R. Y., Phys. Rev. A, 47 (1993), R2472CrossRef
Ou, Z. Y., Zou, X. Y., Wang, L. J. and Mandel, L., Phys. Rev. Lett., 65 (1990), 321CrossRef
Brendel, J., Mohler, E. and Martienssen, W., Euro. Phys. Lett., 20 (1992), 575CrossRef
Shih, Y. H., Sergienko, A. V. and Rubin, M. H., Phys. Rev. A, 47 (1993), 1288CrossRef
Migdall, A., Datla, R., Sergienko, A., Orszak, J. S. and Shih, Y. H., Metrologica, 32 (1995/6), 479CrossRef
Klyshko, D. N., Sov. J. Quantum Electron., 7 (1977), 591CrossRef
Kitaeva, G., Penin, A. N., Fadeev, V. V. and Yanait, Yu. A., Sov. Phys. Dokl., 24 (1979), 564
Abouraddy, A. F., Toussaint, K. C., Sergienko, A. V., Saleh, B. E. A. and Teich, M. C., J. Opt. Soc. Am. B, 19 (2002), 656CrossRef
Ou, Z. Y., Rhee, J.-K. and Wang, L. J., Phys. Rev. Lett., 83 (1999), 959CrossRef
D. N. Klyshko, Photons and Nonlinear Optics (New York: Gordon and Breach, 1988)
R. Y. Chiao and A. M. Steinberg, “Tunneling times and superluminality”, in Progress in Optics XXXVII, E. Wolf (editor) (Amsterdam: Elsevier, 1997), p. 345
R. Y. Chiao, P. G. Kwiat and A. M. Steinberg, “Faster than light?”, Scientific American (August 1993), p. 52
P. Hariharan and B. C. Sanders, “Quantum phenomena in optical interferometry”, Progress in Optics XXXVI, E. Wolf (editor) (Amsterdam: Elsevier, 1996)
Mandel, L., “Quantum effects in one-photon and two-photon interference”, Rev. Mod. Phys., 71 (1999), S274CrossRefGoogle Scholar
Hardy, L., “Spooky action at a distance in quantum mechanics”, Contemp. Phys., 39 (1998), 419CrossRefGoogle Scholar
Clauser, J. F. and Shimony, A., “Bell's theorem: experimental tests and implications”, Rep. Prog. Phys., 41 (1978), 1881CrossRefGoogle Scholar
A. Migdall, “Correlated-photon metrology without absolute standards”, Physics Today (January 1999), p. 41
Sergienko, A. V. and Sauer, G. S., “Quantum information processing and precise optical measurements with entangled photon pairs”, Contemp. Phys., 44 (2003), 341CrossRefGoogle Scholar

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