AI 中文总结
研究用优化的加速二能级原子对昂鲁效应进行量子计量检测，通过优化原子 - 场相互作用时间、初始原子态和测量基来降低估计不确定性，分析了不同条件下的最优因子和最小不确定性，还估计了最小总探测时间并证明可减少。
AI 中文摘要
对于均匀加速的二能级探测原子，在原子 - 场演化过程中，与加速度相关的因子被编码在原子态中。若能通过大量测量以小于其大小的不确定性来估计该因子，就能实验验证昂鲁效应。本文表明最小不确定性与总探测时间的平方根成反比。对于固定的总探测时间，通过优化原子 - 场相互作用时间、初始原子态和每次探测中的测量基来最小化估计不确定性。结果显示随着每个单独探测的演化时间变短，不确定性降低。最优测量基由初始原子态决定，最优初始态取决于加速度因子和每个探测的演化时间。对于固定演化时间，分析了估计不确定性与加速度因子的关系，确定了每种初始态的最优因子和最小不确定性。在小加速度 regime 中，初始激发态优于其他构型，而对于足够大的加速度和每个探测的长演化时间，基态可能更具优势。最后，估计了测试昂鲁效应所需的最小总探测时间，并证明使用具有更大跃迁偶极矩的探测原子可显著减少该时间。
英文摘要
We develop a quantum metrological framework for optimizing the probing of the Unruh effect using uniformly accelerated two-level atomic probes. The acceleration-dependent factor generated during the atom--field interaction is encoded in the atomic state and can be estimated through repeated quantum measurements. For a fixed total probe time, which characterizes the available measurement resource, we optimize the interrogation time of individual probes, the initial atomic state, and the corresponding measurement basis to minimize the estimation uncertainty. We show that the achievable precision is governed by the Fisher information accumulated per unit probe time. Under a fixed total probe time, shorter evolution times of individual probes allow for more sequential measurements, leading to a significant improvement in the estimation precision. The optimal initial state and measurement basis depend on both the acceleration factor and the probe evolution time. In particular, the excited state provides superior sensitivity in the weak-acceleration regime, whereas the ground state becomes advantageous for sufficiently large acceleration and long interaction times. Furthermore, we determine the minimum total probe time required to resolve the acceleration-dependent signal associated with the Unruh effect and demonstrate that this requirement can be substantially reduced by employing atomic systems with larger transition dipole moments. Our results establish an optimized quantum metrological strategy for probing acceleration-induced quantum effects and provide a systematic approach toward the experimental investigation of the Unruh effect.
