论文标题
由$ {}^{85} \ text {rb} $和$ {}^{87} \ text {rb} $ atomic vapors $ 5 {}^2 {s}^2 {s} _ {1/2} \ rightarrow 6 {1/2}^2 {p}过渡
New standard magnetic field values determined by cancellations of ${}^{85}\text{Rb}$ and ${}^{87}\text{Rb}$ atomic vapors $5{}^2{S}_{1/2} \rightarrow 6{}^2{P}_{1/2,~3/2}$ transitions
论文作者
论文摘要
In this article, we study the theoretical behaviour of all the possible hyperfine transitions ($π$, $σ^+$ and $σ^-$) between the $5S$ and $6P$ states of ${}^{87}\text{Rb}$ and ${}^{85}\text{Rb}$ atomic vapors under the influence of an external magnetic field $B$.我们表明，对于特定的过渡，我们获得了一个或几个$ $ b $的价值，为此取消了过渡强度。这些值的精度仅限于问题所涉及的物理量的不确定性，因此准确测量取消的$ b $值可能是一种更精确地确定这些数量的方法。在涉及$ 2 \ times 2 $ hamiltonians的最简单案例中，我们给予特征向量，特征值和分析公式来确定过渡取消。通过检查公式和数值模拟之间的准确性，我们得出结论，即使在最复杂的情况下，也可以使用后者来确定所有取消。
In this article, we study the theoretical behaviour of all the possible hyperfine transitions ($π$, $σ^+$ and $σ^-$) between the $5S$ and $6P$ states of ${}^{87}\text{Rb}$ and ${}^{85}\text{Rb}$ atomic vapors under the influence of an external magnetic field $B$. We show that, for specific transitions, we obtain one or several $B$-values for which the transition intensity is cancelled. The precision of these values is limited to the uncertainty of the physical quantities that are involved in the problem, thus measuring precisely the $B$-values for the cancellations could be a way to determine these quantities more precisely. In the simplest cases involving $2\times 2$ hamiltonians, we give eigenvectors, eigenvalues and analytical formulas to determine the transition cancellation. By checking accuracy between formulas and numerical simulations, we conclude that it is possible to use the latter in order to determine all the cancellations even in the most complicated cases.
