Can the Mach-Zehnder interferometer be used as a which-way detector for photons?

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SUMMARY

The Mach-Zehnder interferometer (MZI) cannot function as a which-way detector for photons in the same manner as the double-slit experiment. In the MZI, the wave nature of photons allows them to traverse both paths simultaneously, preventing definitive which-way information. If one interprets photons strictly as particles, alternative quantum mechanical interpretations, such as the Bohmian interpretation, must be employed, which suggest that the actual trajectory of the photon diverges from classical expectations.

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San K
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can we find which-way in mach-zender? just like we do in double-slit

like the one given below:

http://en.wikipedia.org/wiki/Mach%E2%80%93Zehnder_interferometer"

if so, what would the results be similar to double-slit? i.e. the photon will either take upper arm or lower arm path...in a random manner but not behave as if it took both at the same time...
 
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In MZ the wave takes both paths (it's not a problem for a wave), so it cannot be used for a which-way detector of a wave. But if you think that photon is not a wave but a particle that takes a single path, then you must use a concrete interpretation of QM different from the standard interpretation. The best known interpretation of this kind is the Bohmian one, but in this case the actual trajectory is ˝opposite˝ to the naive classical trajectory.
 

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