Data for article Decoherence-free radiofrequency dressed subspaces

Data taken at Institute of Electronic Structure and Laser, Foundation for Research and Technology-Hellas, Heraklion 70013, Greece.<br>This data is presented in the figures of the paper "Decoherence-free radiofrequency dressed subspaces" in Physical Review A (2021).<br><br>Abstract of paper to which this data belongs: We study the spectral signatures and coherence properties of radiofrequency dressed hyperfine Zeeman sub-levels of ⁸⁷Rb. Experimentally, we engineer combinations of static and RF magnetic fields to modify the response of the atomic spin states to environmental magnetic field noise. We demonstrate analytically and experimentally the existence of "magic" dressing conditions where decoherence due to electromagnetic field noise is strongly suppressed. Building upon this result, we propose a bi-chromatic dressing configuration that reduces the global sensitivity of the atomic ground states to low-frequency noise, and enables the simultaneous protection of multiple transitions between the two ground hyperfine manifolds of atomic alkali species. Our methods produce protected transitions between any pair of hyperfine sub-levels at arbitrary (low) DC-magnetic fields.<br><br>File: Decoherence-free_radio-frequency-dressed_subspaces_fig2_allsets.csv. Data for FIG. 2 - The Detuning of the resonant frequencies of the transitions between the dressed states (a) |1, −1&gt; → |2, 2&gt;, (b) |1, −1&gt; →|2, 1&gt;, and (c) |1, −1&gt; → |2, 0&gt;. Shown as functions of the applied static magnetic field. <br><br>File: Decoherence-free_radio-frequency-dressed_subspaces_fig3_allsets.csv. Data for FIG. 3 - Data for the fraction of measured population in F = 2 as a function of the microwave detuning ω_MW − ω₀ for three magnetic fields: B_dc = 3.195 G, B_dc = 3.247 G, and B_dc = 3.216 G.<br><br>File: Decoherence-free_radio-frequency-dressed_subspaces_fig4a_allsets.csv. Data for FIG. 4a - the line shift for the |1, m-bar = −1&gt; → |2, m-bar = 1&gt; transition as a function of the static magnetic field.<br><br>File: Decoherence-free_radio-frequency-dressed_subspaces_fig4b_allsets.csv. Data for FIG4b - the population of the upper hyperfine manifold as a function of the Ramsey time for two DC magnetic fields: B_dc = 2.87 G and B_dc = 2.56 G.<br><br><br><br>

本数据集采集于希腊克里特岛研究与技术基金会（Foundation for Research and Technology-Hellas）电子结构与激光研究所（Institute of Electronic Structure and Laser），地址为赫拉克利翁70013。
本数据出自2021年发表于《物理评论A（Physical Review A）》的论文《无退相干射频（radiofrequency）缀饰子空间（Decoherence-free radiofrequency dressed subspaces）》的相关图表。

本数据集所属论文的摘要如下：我们研究了⁸⁷Rb的射频（radiofrequency）缀饰超精细塞曼子能级（hyperfine Zeeman sub-levels）的光谱特征与相干特性。实验层面，我们通过设计静磁场（static magnetic field）与射频磁场（RF magnetic field）的组合方案，调控原子自旋态（atomic spin states）对环境磁场噪声的响应。我们从解析与实验两方面证明了“魔性”缀饰条件的存在——在此条件下，电磁场噪声诱导的退相干（decoherence）会被显著抑制。基于该结果，我们提出了双色缀饰构型（bi-chromatic dressing configuration），可降低原子基态（atomic ground states）对低频噪声的整体灵敏度，并实现对碱金属原子（alkali species）两种基态超精细流形（hyperfine manifolds）间多跃迁的同步保护。我们的方法可在任意（低）直流磁场（DC-magnetic field）下，实现任意一对超精细子能级间的受保护跃迁。

文件：Decoherence-free_radio-frequency-dressed_subspaces_fig2_allsets.csv。对应图2的数据：缀饰态|1, −1⟩ → |2, 2⟩、|1, −1⟩ → |2, 1⟩以及|1, −1⟩ → |2, 0⟩跃迁的共振频率失谐量随外加静磁场的变化关系。

文件：Decoherence-free_radio-frequency-dressed_subspaces_fig3_allsets.csv。对应图3的数据：在三种直流磁场（B_dc = 3.195 G、B_dc = 3.247 G及B_dc = 3.216 G）下，测得的F=2态布居占比随微波失谐量ω_MW − ω_0的变化关系。

文件：Decoherence-free_radio-frequency-dressed_subspaces_fig4a_allsets.csv。对应图4a的数据：|1, m̄ = −1⟩ → |2, m̄ = 1⟩跃迁的谱线偏移量随静磁场的变化关系。

文件：Decoherence-free_radio-frequency-dressed_subspaces_fig4b_allsets.csv。对应图4b的数据：在两种直流磁场（B_dc = 2.87 G与B_dc = 2.56 G）下，高能超精细流形的布居数随拉姆齐时间（Ramsey time）的变化关系。