Are the two paths in an interferometer indistinguishable?

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SUMMARY

The discussion centers on the principle of indistinguishability in quantum mechanics, specifically regarding electrons and photons in interferometers. It is established that an interference pattern occurs when it is impossible to determine which path an electron or photon takes through a double slit or an interferometer. The introduction of a measurement device, such as a light source, collapses the wave function, destroying the interference pattern. This principle is foundational in modern quantum experiments, including the delayed choice quantum eraser.

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For the case of an electron passing through a double slit, there will be an interference pattern if it is indistinguishable which slit the electron passes through. If we put a light source behind the slits to measure which slit the electron passes through, the interference pattern is destroyed.

So by the same logic, since there is interference in an interferometer, it must be indistinguishable which of the two paths the light takes or a photon takes.
 
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Correct. Many modern "which way" experiments, such as the delayed choice quantum eraser, are based on interferometers.
 
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