AI 中文总结
本文针对无序驱动量子系综的控制问题，提出Floquet本征框架同步的几何要求，构建可测量的序参量与度量，通过NV系综实验验证其抗无序特性，并实现无谐波AC磁测量协议。
AI 中文摘要
周期性驱动是自旋基量子传感等多种量子控制的基础，但系综传感器中，单一波形需作用于具有不同失谐量、驱动振幅、超精细环境及局域场的自旋。现有针对此类无序的鲁棒控制方法通常基于相干性、有效哈密顿量、滤波函数或重聚焦框架。本文确定了集体系综Floquet控制的互补几何要求：无序实现必须共享共同的Floquet本征框架。满足该条件时，初始化、保护、信号耦合及读出均在同一缀饰基中定义，使系综作为集体Floquet传感器响应，而非不等价驱动成员的平均。我们提出基于本征向量的同步序参量及互补的碎片化度量，量化Floquet量子化轴在系综内的对齐与分布，使该条件可测量。作为该框架的一个实现，我们采用连续反绝热Floquet驱动推导同步准则，并预测在工程化Floquet能隙与驱动调制的前两个低阶可公度性处，会出现共振主导的崩溃，且失谐与振幅无序产生不同崩溃通道。对金刚石中氮空位（NV）系综的实验通过长寿命集体振荡、二维无序鲁棒性图及随调制速率变化的崩溃共振，验证了同步 regime。最后，我们展示了无谐波连续驱动AC磁测量协议，其集体单音响应由同步Floquet本征框架实现。这些结果确立了Floquet本征框架同步作为抗无序集体控制与量子传感的可测量条件。
英文摘要
Periodic driving underlies many forms of quantum control, including spin-based quantum sensing. However, in an ensemble sensor, one waveform must act on spins with different detunings, drive amplitudes, hyperfine environments, and local fields. Existing robust-control approaches to such disorder are usually framed in terms of coherence, effective Hamiltonians, filter functions, or refocusing. Here we identify a complementary geometric requirement for collective ensemble Floquet control: disorder realizations must share a common Floquet eigenframe. When this condition is met, initialization, protection, signal coupling, and readout are defined in one dressed basis, so the ensemble responds as a collective Floquet sensor rather than as an average over inequivalent driven members. We make this condition measurable with an eigenvector-based synchronization order parameter and a complementary fragmentation metric that quantify the alignment and spread of Floquet quantization axes across the ensemble. As one realization of this framework, we use a continuous counterdiabatic Floquet drive to derive synchronization criteria and predict resonance-governed breakdown at the first two low-order commensurabilities between the engineered Floquet gap and the drive modulation, with detuning and amplitude disorder producing distinct breakdown channels. Experiments on a nitrogen-vacancy (NV) ensemble in diamond verify the synchronized regime through long-lived collective oscillations, a two-dimensional disorder-robustness map, and breakdown resonances that shift with the modulation rate. Finally, we demonstrate a harmonic-free continuous-drive AC magnetometry protocol whose collective single-tone response is enabled by the synchronized Floquet eigenframe. These results establish Floquet eigenframe synchronization as a measurable condition for disorder-resilient collective control and quantum sensing.
Comments12 pages, 5 figures
