Refinements of the interpretation of complementarity from Afshar's experiment
DOI:
https://doi.org/10.1590/S1678-31662013000100006Keywords:
Afshar’s experiment, Complementarity, Foundations of quantum mechanics, Mach-Zehnder interferometer, Philosophy of physics, Quantum-mechanical state, Retrodiction, Unruh’s experiment, Wave-particle dualityAbstract
Afshar's experiment was recently proposed as a violation of the principle of complementarity. Acknowledging the novelty brought by the experiment, we argue that it allows a refinement of this principle, with the establishment of two points: (1) the possibility of modifying the "type" of phenomenon (wave or particle) without changing the quantum-mechanical state, and (2) the recognition that the type of phenomenon, associated to a detected quantum, refers to a specific region traversed by the quantum object. The first point is explored in Mach-Zehnder interferometers, with polarization devices and in Unruh's double setup. The second point emphasizes that a phenomenon can be corpuscular with respect one region and undulatory with respect to another. Afshar's originality lies in his proposal of a way of ascertaining both simultaneously. Restriction (1) turns out having a negligible effect in Afshar's experiment.Downloads
References
Afshar, S. S. Sharp complementary wave and particle behaviors in the same welcher weg experiment. 2003. Disponível em: <http://www.irims.org/quant-ph/030503>. Acesso em: 28 fev. 2012.
Afshar, S. S. et al. Paradox in wave-particle duality. Foundations of Physics, 37, p. 295-305, 2007.
Bohm, D. Quantum theory. Englewood Cliffs: Prentice-Hall, 1951.
Bohr, N. O postulado quântico e o recente desenvolvimento da teoria atômica. In: Pessoa Jr., O. (Ed.). Fundamentos da física 1 – Simpósio David Bohm. São Paulo: Livraria da Física, 2000 [1928]. p. 135-59.
Bohr, N. A descrição da realidade física fornecida pela mecânica quântica pode ser considerada completa? Tradução C. W. Abramo. Cadernos de História e Filosofia da Ciência, 2, p. 97-106, 1981 [1935].
Bohr, N. O debate com Einstein sobre problemas epistemológicos na física atômica. In: Bohr, N. Física atômica e conhecimento humano, ensaios 1932-1957. Tradução V. Ribeiro. Rio de Janeiro: Contraponto, 1995 [1949]. p. 41-83.
Grangier, P. et al. Experimental evidence for a photon anticorrelation effect on a beam splitter: a new light on single-photon interferences. Europhysics Letters, 1, p. 173-9, 1986.
Heisenberg, W. The physical principles of the quantum theory. Chicago: University of Chicago Press, 1930.
Hellmuth, T. et al. Delayed-choice experiments in quantum interference. Physical Review A, 35, p. 2532-41, 1997.
Herzog, T. J. et al. Complementarity and the quantum eraser. Physical Review Letters, 75, p. 3034-7, 1995.
Kastner, R. E. Why the Afshar experiment does not refute complementarity. Studies in History and Philosophy of Modern Physics, 36, p. 649-58, 2005.
Jammer, M. The philosophy of quantum mechanics. New York: Wiley, 1974.
Marlow, A. R. (Ed.), Mathematical foundations of quantum theory. New York: Academic, 1978.
Pessoa Jr., O. Complementing the principle of complementarity. Physics Essays, 13, p. 50-67, 2000a.
Pessoa Jr., O. (Ed.). Fundamentos da física 1 – Simpósio David Bohm. São Paulo: Livraria da Física, 2000b.
Pessoa Jr., O. Conceitos da física quântica. São Paulo: Livraria da Física, 2003. v. 1.
Unruh, W. Shahriar Afshar – quantum rebel? 2004. Disponível em: <http://axion.physics.ubc.ca/rebel.html>. Acesso em: 28 fev. 2012.
Vaidman, L. et al. How to ascertain the values of sx, s y, and sz of a spin-½ particle. Physical Review Letters, 58, p. 1385-7, 1987.
Wheeler, J.A. The “past” and the “delayed-choice” double-slit experiment. In: Marlow, A. R. (Ed.), Mathematical foundations of quantum theory. New York: Academic, 1978. p. 9-48.
Wootters, W. K. & Zurek, W .H. Complementarity in the double slit experiment: quantum non-separability and a quantitative statement of Bohr’s principle. Physical Review D, 19, p. 473-84, 1979.
Downloads
Published
Issue
Section
License
Copyright (c) 2013 Scientiae Studia

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
A revista detém os direitos autorais de todos os textos nela publicados. Os autores estão autorizados a republicar seus textos mediante menção da publicação anterior na revista. A revista adota a Licença Creative Commons Attribution-NonCommercial-ShareAlike 4.