Nonreciprocal recovery of electromagnetically induced transparency by wavenumber mismatch in hot atoms - Data and code for analysis

EIT in hot atomic vapors

Electromagnetically induced transparency (EIT) in Doppler-broadened systems of atomic vapors depend strongly on the relative wavelengths of the EIT fields. It is well-known that in three-level ladder-systems, the transmission on EIT resonance can be strongly enhanced in a when the lower transition has a longer wavelength than the upper transition and when the two fields are counter-propagating. For the same wavelength mismatch but co-propagating probe and control fields the Doppler effect leads to no transmission.

The data set contained in this collection show exactly this effect. This collection contains time-binned experimental data and code for the data analysis. The data published here are part of a tutorial (DOI to be provided) submitted to New Journal of Physics special issue on Hot Atomic Vapors 2024.

Experimental data:

The experimental data published here are time-binned and normalized transmission spectra of a 780 nm weak probe laser through a rubidium vapor cell at room temperature (25 degree). The transmission is measured in the presence (abscense) of a 480 nm control field and for both co- and counter-propagating geometry of the probe and control fields.

The final row (FitCoPro) is a fit to the co-propagating absorption spectrum. This fit serves as a reference to assign the correct frequency axis to the experimental data. The fit is created with ElecSus (https://github.com/durham-qlm/ElecSus).

In case of questions for the data, or of interest in accessing the full original datasets (not time-binned, not normalized), please contact Nina Stiesdal or Sebastian Hofferberth.

Analysis code and theory fits:

The code contained in this collection solves the Hamiltonian presented in the main text and plots eigenvalues and susceptibilities for different cases. For this calculation, it is necessary to include parameters specific to the atomic species of interest. We use the Alkali Rydberg Calculator ARC (https://github.com/nikolasibalic/ARC-Alkali-Rydberg-Calculator) for this.

We further compare theoretically predicted transmission to the experimental measurements. The theoretical predictions are saved to the files

LinearSusceptibility_Counterpropagating_Rb_Temperature_296.15.txt

and

LinearSusceptibility_Counterpropagating_Rb_Temperature_296.15.txt 

These susceptibilities are calculated as discussed in the main publication. In case of questions to the code or calculations, please contact Lida Zhang.

热原子蒸气中的电磁感应透明（Electromagnetically Induced Transparency, EIT）

多普勒展宽原子蒸气系统中的电磁感应透明（EIT）强烈依赖于EIT场的相对波长。众所周知，在三能级梯型系统中，当下能级跃迁的波长长于上能级跃迁，且两束场反向传播时，EIT共振处的透射率会得到显著增强；若仅波长失配条件相同，但探测场与控制场同向传播，则多普勒效应会导致无透射现象。

本数据集集合展示了该效应。该集合包含时间分箱实验数据与数据分析代码。此处发布的数据是提交给《New Journal of Physics》2024年“热原子蒸气”特刊的教程（DOI待提供）的组成部分。

实验数据：
此处发布的实验数据为室温（25摄氏度）下，铷蒸气气室中780 nm弱探测激光的时间分箱归一化透射光谱。透射率的测量涵盖了存在（及不存在）480 nm控制场的场景，同时覆盖了探测场与控制场同向、反向传播的两种几何构型。
最后一行（FitCoPro）为同向传播吸收光谱的拟合结果，该拟合可作为为实验数据分配正确频率轴的参照。此拟合通过ElecSus（https://github.com/durham-qlm/ElecSus）生成。
若对该数据有疑问，或希望获取完整原始数据集（非时间分箱、非归一化版本），请联系Nina Stiesdal或Sebastian Hofferberth。

分析代码与理论拟合：
本集合中的代码可求解正文中给出的哈密顿量，并绘制不同场景下的本征值与极化率。该计算需引入对应原子种类的专属参数，此处我们使用碱金属里德堡计算器ARC（https://github.com/nikolasibalic/ARC-Alkali-Rydberg-Calculator）完成此项工作。
我们进一步将理论预测的透射率与实验测量结果进行对比。理论预测结果保存至以下文件：
LinearSusceptibility_Counterpropagating_Rb_Temperature_296.15.txt
与
LinearSusceptibility_Counterpropagating_Rb_Temperature_296.15.txt
这些极化率的计算方式如主刊所述。若对代码或计算有疑问，请联系Lida Zhang。