AlH $^+$光抽运到纯量子态的方案
Protocol for Optically Pumping AlH$^+$ to a Pure Quantum State
摘要：
我们提出了一种光抽运方案来制备纯态的被捕获的$\mathrm{AlH}^+$分子，即旋转振动基态流形$\lvert \mathrm{X}^2Σ^+,\, v=0,\, N=0\rangle$的拉伸超精细态$\lvert F=\frac{7}{2},\, m_F=\frac{7}{2}\rangle$。我们的方案利用宽带脉冲激光的线偏振和圆偏振场来冷却转动自由度，并分别驱动布居到超精细态。我们模拟人口动态求解一个代表性的速率方程，占激光场，黑体辐射，和自发辐射系统。为了模拟超精细结构，新的超精细常数的$\mathrm{A}^2Π$激发态的计算使用RASSCF波函数。我们发现，添加红外激光驱动的$1 \,-\; 0$振动跃迁内的$ \mathrm{X}^2Σ^+$歧管加速冷却过程。结果表明，在最佳条件下，有（无）红外激光作用下，旋振地面流形目标态粒子数在68 $\mathrmμ$ s（330 ms）后可达63 $\%$，在25 ms（1.2 s）后可达95 $\%$。
英文摘要：
We propose an optical pumping scheme to prepare trapped $\mathrm{AlH}^+$ molecules in a pure state, the stretched hyperfine state $\lvert F=\frac{7}{2},\, m_F=\frac{7}{2}\rangle$ of the rovibronic ground manifold $\lvert \mathrm{X}^2Σ^+,\, v=0,\, N=0\rangle$. Our scheme utilizes linearly-polarized and circularly-polarized fields of a broadband pulsed laser to cool the rotational degree of freedom and drive the population to the hyperfine state, respectively. We simulate the population dynamics by solving a representative system of rate equations that accounts for the laser fields, blackbody radiation, and spontaneous emission. In order to model the hyperfine structure, new hyperfine constants of the $\mathrm{A}^2Π$ excited state were computed using a RASSCF wavefunction. We find that adding an infrared laser to drive the $1 \,-\; 0$ vibrational transition within the $ \mathrm{X}^2Σ^+$ manifold accelerates the cooling process. The results show that under optimum conditions, the population in the target state of the rovibronic ground manifold can reach 63 $\%$ after 68 $\mathrmμ$s (330 ms) and 95 $\%$ after 25 ms (1.2 s) with (without) the infrared laser.
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