Enhanced probing of fermion interaction using weak-value amplification

We propose a scheme for enhanced probing of an interaction between two single fermions based on weak-value amplification. The scheme is applied to measuring the anisotropic electron-hole exchange interaction strength in semiconductor quantum dots where both spin and energy are mapped onto emitted photons. We study the effect of dephasing of the probe on the weak-value-enhanced measurement. We find that, in the limit of slow noise, weak-value amplification provides a unique tool for enhanced-precision measurement of few-fermion systems.