Quantum metrology via chaos in a driven Bose-Josephson system

Entanglement preparation and signal accumulation are essential for quantum parameter estimation, which pose significant challenges to both theories experiments. Here, we propose how utilize chaotic dynamics in a periodically driven Bose-Josephson system achieving high-precision measurement beyond the standard limit (SQL). Starting from an initial non-entangled state, generates entanglement simultaneously encodes be estimated. By using suitable dynamics, ultimate precision of estimated can beat SQL. The sub-SQL scaling also obtained via specific observables, such as population measurements, realized with state-of-art techniques. Our study not only provides new insights understanding chaos quantum-classical correspondence, but is promising applications entanglement-enhanced metrology.