In QFT, one usually simplifies the interaction between fields and classical apparatus (sources, detectors, etc.) by assuming the classical devices only interact with the asymptotic on-shell states
I'm interested in physical scenarios where such approximation would give incorrect results.
Conceivably one can put a logical or measurement device (which we can simplify as a bit or qubit state in some system) with enough coupling and/or proximity to a source such that one cannot assume that the device bit state must interact only via asymptotic states, in the computation of the Feynman diagram amplitudes
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