Atom interferometer has been proven to be a powerful tool for precision metrology. Here we propose a cavity-aided nonlinear atom interferometer, based on the quasi-periodic spin mixing dynamics of an atomic spin-1 Bose–Einstein condensate trapped in an optical cavity. We unravel that the phase sensitivity can be greatly enhanced with the cavity-mediated nonlinear interaction. The influence of encoding phase, splitting time and recombining time on phase sensitivity are carefully studied. In addition, we demonstrate a dynamical phase transition in the system. Around the criticality, a small cavity light field variation can arouse a strong response of the atomic condensate, which can serve as a new resource for enhanced sensing. This work provides a robust protocol for cavity-enhanced metrology.

原子干涉仪已被证明是精密计量的有力工具。在这里，我们提出了一种腔辅助非线性原子干涉仪，基于光腔中捕获的原子自旋 1 玻色-爱因斯坦凝聚体的准周期自旋混合动力学。我们发现，通过腔介导的非线性相互作用可以大大增强相位灵敏度。仔细研究了编码相位、分裂时间和重组时间对相位灵敏度的影响。此外，我们还演示了系统中的动态相变。在临界点附近，微小的腔体光场变化可以引起原子凝聚体的强烈响应，这可以作为增强传感的新资源。这项工作为腔增强计量学提供了一个强大的协议。