We show that the delocalization-localization transition in quantum many-body (QMB) systems are a compelling quantum resource for achieving quantum-enhanced sensitivity in parameter estimation. We exploit the vulnerability of a near-transition QMB state against the parameter shift for devising efficient sensing tools. In this realm the main focus of this work is to identify, propose, and analyze experimentally relevant quantum observables for precision measurement. Taking a QMB system as a Fermi lattice under quasiperiodic modulation that supports an energy-independent delocalization-localization transition, we suggest operator-based adiabatic and dynamical quantum sensors endowed with considerable quantum advantages. In particular, we analyze single-particle systems and the system at half-filling. While the quantum Fisher information saturates the Heisenberg limit, we demonstrate the experimentally relevant suitable observables with a spotlight on the charge-density-wave operator. Demonstrating their efficacy, these observables emerge as promising candidates for experimentally exploiting quantum advantages, showcasing superior performance compared to the standard quantum limit in terms of system-size scaling. Taking our exploration further into the dynamical realm, we discuss observables that yield super-extensive generic scaling in measurement precision. The comprehensive nature of our study not only sheds light on the intricacies of the delocalization-localization transition, but also offers practical insights for the development of quantum sensors and their potential applications.

Close

PrevNext

View figure in article

• Quantum metrology
• Quantum phase transitions
• Quantum sensing
• Fermi gases
• Quantum many-body systems
• Tensor network methods
• Tight-binding model