One core of quantum metrology is the utilization of entanglement to enhance measurement precision beyond the standard quantum limit. Here, we utilize the Floquet-engineered two-axis twisting (TAT) and turning dynamics to generate Greenberger-Horne-Zeilinger (GHZ)-like states for quantum metrology. Using both analytical semiclassical and quantum approaches, we find that the desired $N$-particle GHZ-like state can be produced in a remarkably short time, $t_{\mathrm{opt}}\propto lnN/N$, and its quantum Fisher information $F_{\mathrm{Q}}^{\mathrm{opt}}\propto N^2$ approaches the Heisenberg limit. Owing to the rapid state preparation, it shows outstanding robustness against decoherence. Moreover, using the Floquet-engineered anti-TAT-and-turn, one may implement an efficient interaction-based readout protocol to extract the signal encoded in this GHZ-like state. This Floquet-engineered anti-TAT-and-turn approach offers a viable method to achieve effective time-reversal dynamics to improve measurement precision and resilience against detection noise, all without the need to invert the sign of the nonlinear interaction. This study paves a way for achieving entanglement-enhanced quantum metrology via rapid generation of GHZ-like states at high particle numbers through continuous Floquet engineering.

Close

PrevNext

View figure in article

• Cold atoms & matter waves
• Quantum metrology
• Quantum sensing
• Quantum state engineering