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arXiv physics/0702059physics.atom-phphysics.chem-ph
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基于$Sr^+$的光频标:理论多体方法

Optical frequency standard with $Sr^+$: A theoretical many-body approach

Chiranjib Sur, K. V. P. Latha, Rajat K. Chaudhuri, B. P. Das, D. Mukherjee

摘要:

来自多个科学和技术领域的需求已经导致在全世界范围内寻找不确定度为1分之$10^{18}$的精确光学钟,其比基于微波频率范围的当今铯原子钟精确$10^{3}$倍。在这篇文章中,我们讨论了电四极和超精细位移的$5s ^{2}S_{1/2}\longrightarrow4d ^{2}D_{5/2}$时钟跃迁的$\mathrm{Sr^{+}}$,最有希望的候选人之一,下一代光学时钟。我们应用相对论耦合团簇理论确定了$\mathrm{^{88}Sr^{+}}$的$4d ^{2}D_{5/2}$态的电四极矩,以及在$B$频标研究中重要的$5s ^{2}S_{1/2}$和$4d ^{2}D_{5/2}$态的磁偶极子和电四极矩超精细常数.电子关联的影响,这是非常关键的准确测定这些量进行了讨论。

英文摘要:

Demands from several areas of science and technology have lead to a worldwide search for accurate optical clocks with an uncertainty of 1 part in $10^{18}$, which is $10^{3}$ times more accurate than the present day cesium atomic clocks based on microwave frequency regime. In this article we discuss the electric quadrupole and the hyperfine shifts in the $5s ^{2}S_{1/2}\longrightarrow4d ^{2}D_{5/2}$ clock transition in $\mathrm{Sr^{+}}$, one of the most promising candidates for next generation optical clocks. We have applied relativistic coupled cluster theory for determining the electric quadrupole moment of the $4d ^{2}D_{5/2}$ state of $\mathrm{^{88}Sr^{+}}$ and the magnetic dipole ($A$) and electric quadrupole ($B$) hyperfine constants for the $5s ^{2}S_{1/2}$ and $4d ^{2}D_{5/2}$ states which are important in the study of frequency standards with $\mathrm{Sr^{+}}$. The effects of electron correlation which are very crucial for the accurate determination of these quantities have been discussed.

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