标题： 使用具有$lin\perp lin$极化的电磁感应透明的矢量磁强计 显示英文标题

标题： Vector magnetometry using electromagnetically induced transparency with $lin\perp lin$ polarization

摘要： 矢量磁强计研究是通过电磁诱导透明度(EIT)进行的，使用探测光和泵浦光的线性$\perp$线性 ($lin \perp lin$) 偏振在$^{87}Rb$-$D_2$转移中。 实验研究了EIT对量化轴方向和施加电场偏振相对取向的依赖性。 我们表明，从$\sigma$和$\pi$EIT峰的相对强度可以确定磁场的方向。 此外，从$\sigma$和$\pi$EIT 峰的相对分离，可以计算磁场所产生的强度。 我们还证明了 EIT 峰振幅会随着激光偏振方向相对于磁场方向的取向不同而表现出振荡行为。 利用极大值和极小值的位置，可以计算磁场的方向。 为了理解实验观察结果，已经通过数值方法对所有十三个 Zeeman 子能级进行了理论研究。 除了数值模型，还考虑了一个简化模型，以考虑速度分布来获得介质的解析响应。 在解析模型中，磁场方向和电场偏振方向的依赖关系已经被明确推导出来。 进一步地，使用解析解计算了磁场的方向。 这项研究有助于在室温下制造基于 EIT 的原子矢量磁强计。 显示英文摘要

摘要： Vector magnetometry was studied using the electromagnetically induced transparency (EIT) with linear $\perp$ linear ($lin \perp lin$) polarization of the probe and the pump beams in $^{87}Rb$ - $D_2$ transition. The dependence of the EIT on the direction of the quantization axis and the relative orientation of the polarization of the applied electric fields was studied experimentally. We have shown that from the relative strengths of the $\sigma$ and $\pi$ EIT peaks, the direction of the magnetic field can be found. Moreover from the relative separation between the $\sigma$ and $\pi$ EIT peaks, the strengths of the magnetic field can be calculated. We have also demonstrated that the EIT peak amplitudes show oscillatory behaviour depending upon the orientation of the laser polarization relative to the magnetic field direction. Using the positions of the maxima and minima, the direction of the magnetic field can be calculated. To understand the experimental observation, a theoretical study has been done numerically considering all the thirteen Zeeman sub-levels. Apart from the numerical model, a toy model has also been considered to obtain an analytical response of the medium considering the velocity distribution. The dependencies of the magnetic field direction and the polarization direction of the electric fields have been explicitly derived in the analytical model. Further the direction of the magnetic field is calculated using the analytical solution. This study can be helpful in order to make an EIT based atomic vector magnetometer at room temperature.