Observation of mHz-level cooperative Lamb shifts in an optical atomic clock

# Observation of mHz-level cooperative Lamb shifts in an optical atomic clock [https://doi.org/10.5061/dryad.wpzgmsbtj](https://doi.org/10.5061/dryad.wpzgmsbtj) The python script "make\_figures.py" produces the plots in Figs. 2-4, S1-S3 given the images and control parameters contained in "cls.h5" ## Description of the data and file structure The data in "cls.h5" is saved in HDF5 format and contains the following datasets * "timestamp\_": array of timestamps corresponding to the (UNIX) time at which the corresponding experimental shot began. * "runpath\_": unique strings distinguishing runs, between which realignment/calibration procedures were performed. * "φ\_": array specifying pulse phases sin(φ\_out) * "Z\_": array specifying initial pulse area 4 sqrt(2) cos(θ\_in) * "q\_": array specifying probed transition * "ψ\_": array specifying angle of incidence * "counts\_g\_": array of ground state images * "counts\_e\_": array of excited state images ## Code/Software Running the python script "make\_figures.py" requires Python 3.11+ and the following third-party libraries: allantools, h5py, matplotlib, numpy, scipy

# 光学原子钟中毫赫兹级协同兰姆位移的观测 [https://doi.org/10.5061/dryad.wpzgmsbtj]
Python脚本"make_figures.py"可基于"cls.h5"中存储的图像与控制参数，生成图2至图4以及补充图S1至S3。

## 数据与文件结构说明
"cls.h5"内的数据以HDF5格式存储，包含以下数据集：
* "timestamp_"：对应单次实验测量开始时刻的UNIX时间戳数组。
* "runpath_"：用于区分不同实验批次的唯一字符串，不同批次间会执行重新对准与校准流程。
* "φ_"：指定脉冲相位sin(φ_out)的数组。
* "Z_"：指定初始脉冲面积4√2 cos(θ_in)的数组。
* "q_"：指定被探测原子跃迁的数组。
* "ψ_"：指定入射角的数组。
* "counts_g_"：基态成像计数数组。
* "counts_e_"：激发态成像计数数组。

## 代码与软件
运行Python脚本"make_figures.py"需使用Python 3.11及以上版本，并依赖以下第三方库：allantools、h5py、matplotlib、numpy、scipy