Enhanced sensing of a weak Stark field under the influence of Aubry-Andr\'e-Harper criticality

Understand

The localization transition can be exploited as a resource for achieving quantum-enhanced sensitivity in parameter estimation.

• We demonstrate that by employing different classes of localization inducing potentials, one can significantly enhance the precision of parameter estimation.
• Specifically, we focus on the precision measurement of the Stark strength parameter encoded in the low- and high-energy eigenstates of a one-dimensional fermionic lattice under the influence of Aubry-Andr\'e-Harper localization-delocalization transition.
• For the ground state, we consider the single-particle system, in addition to the system at half filling.