TL;DR
This paper presents a simple formula to extract weak values from the wave function of a measuring device, applicable to optical experiments, capturing interference effects essential for weak measurement outcomes.
Contribution
It introduces a novel, straightforward formula for reading out weak values from the wave function, including interference effects, in classical optical weak measurement experiments.
Findings
The formula accurately yields weak values for various pre- and post-selections.
It automatically incorporates interference effects crucial for weak measurement outcomes.
The approach simplifies analysis of weak measurements in optical systems.
Abstract
A simple formula to read out the weak value from the wave function of the measuring device after the postselection with the initial Gaussian profile is proposed. We apply this formula for the weak value to the classical experiment of the realization of the weak measurement by the optical polarization and obtain the weak value for any pre- and post-selections. This formula automatically includes the interference effect which is necessary to yields the weak value as an outcome of the weak measurement.
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