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Reply to comments of Steuernagel on the Afshar’s experiment. (English) Zbl 1161.81303

Summary: We respond to criticism [O. Steuernagel, ibid. 37, No. 9, 1370–1385 (2008; Zbl 1127.81307)] of our paper “Paradox in Wave-Particle Duality for Non-Perturbative Measurements” [S. S. Afshar, E. Flores, K.-F. McDonald and E. Knoesel, ibid. 37, No. 2, 295–305 (2007; Zbl 1117.81305)]. We disagree with Steuernagel’s derivation of the visibility of the Afshar experiment. To calculate the fringe visibility, Steuernagel utilizes two different experimental situations, i.e. the wire grid in the pattern minima and in the pattern maxima. In our assessment, this procedure cannot lead to the correct result for the complementarity properties of a wave-particle in one particular experimental set-up.

MSC:

81P05 General and philosophical questions in quantum theory
81P15 Quantum measurement theory, state operations, state preparations

References:

[1] Afshar, S.S., Flores, E., McDonald, K.F., Knoesel, E.: Paradox in wave-particle duality for non-perturbative measurements. Found. Phys. 37, 295 (2007) · Zbl 1117.81305 · doi:10.1007/s10701-006-9102-8
[2] Steuernagel, O.: Afshar’s experiment does not show a violation of complementarity. Found. Phys. 37, 1370–1385 (2007) · Zbl 1127.81307 · doi:10.1007/s10701-007-9153-5
[3] Afshar, S.S.: Violation of the principle of complementarity, and its implications. Proc. SPIE 5866, 229–244 (2005) · doi:10.1117/12.638774
[4] Flores, E., Knoesel, E.: Why Kastner analysis does not apply to a modified Afshar experiment. E. Proc. SPIE 6664, 66640O (2007) · doi:10.1117/12.730965
[5] Dürr, S., Nonn, T., Rempe, G.: Origin of quantum-mechanical complementarity probed by a ’which-way’ experiment in an atom interferometer. Nature 395, 33 (1998) · doi:10.1038/25653
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