Revisiting Bohr’s principle of complementarity …

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… using a quantum device

(a) The MZI with a q-BS. The main difference between this setup and a regular MZI is that the second BS is replaced with a q-BS. Pij (i,j=1,2) are the four possible subpaths for the single photon used to define the distinguishability D.
(b) The simplified setup of the q-BS. Path 1 and Path 2 are both divided into two components, which are in the
quantum superposition states. Each component corresponds to an eigenstate of the photon polarization. One component constructs the closed MZI (a BS is present) and the other constructs the open MZI (no BS). PBS2 then recombines these two components, making a quantum-superposition state of the closed and open MZIs. The direction of the photon polarization before PBS1, α, controls the states of q-BS. The polarizer with a β oriented axis selects the detecting basis of the q-BS.

Jian-Shun Tang, Yu-Long Li, Chuan-Feng Li, Guang-Can Guo
Bohr’s principle of complementarity lies at the central place of quantum mechanics, according to which the light is chosen to behave as a wave or particles, depending on some exclusive detecting devices. Later, intermediate cases are found, but the total information of the wave-like and particle-like behaviors are limited by some inequalities. One of them is Englert-Greenberger (EG) duality relation. This relation has been demonstrated by many experiments with the classical detecting devices. Here by introducing a quantum detecting device into the experiment, we find the limit of the duality relation is exceeded due to the interference between the photon’s wave and particle properties. However, our further results show that this experiment still obey a generalized EG duality relation. The introducing of the quantum device causes the new phenomenon, provides an generalization of the complementarity principle, and opens new insights into our understanding of quantum mechanics…..
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Written by physicsgg

April 25, 2012 at 7:25 am

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