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arXiv · 1605.02849

Wave-Particle Duality in N-Path Interference

Tabish Qureshi·Mohd Asad Siddiqui
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Abstract

Bohr's principle of complementarity, in the context of a two-slit interference experiment, is understood as the quantitative measures of wave and particle natures following a duality relation ${\mathcal D}^2+{\mathcal V}^2 \le 1$. Here ${\mathcal D}$ is a measure of distinguishability of the two paths, and ${\mathcal V}$ is the visibility of interference. It is shown that such a relation can be formulated for $N-$slit or $N-$path interference too, with the proviso that the wave nature is characterized by a measure of {\em coherence} (${\mathcal C}$). This new relation, ${\mathcal D}^2+{\mathcal C}^2 \le 1$ is shown to be tight, and reduces to the known duality relation for the case $N=2$. A recently introduced similar relation (Bagan et al., 2016) is shown to be inadequate for the purpose.

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Tabish Qureshi, Mohd Asad Siddiqui. 2016-05-10. Wave-Particle Duality in N-Path Interference. https://doi.org/10.1016/j.aop.2017.08.015

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