标题： 多极黑体辐射移位对于单离子钟 显示英文标题

标题： Multipolar Black Body Radiation Shifts for the Single Ion Clocks

摘要： 评估使用单电离离子的光学频率标准中投影的$10^{-18}$分数不确定度，我们估算了由于磁场和电场的磁偶极子（M1）和电四极子（E2）多极子引起的黑体辐射（BBR）位移。 使用相对论耦合簇方法确定了单电离钙（Ca$^+$）和锶（Sr$^+$）离子的多极标量极化率；尽管该理论可以用于任何单离子钟的提案。 分别对钟跃迁的预期能量位移估计为 Ca$^+$的$4.38(3) \times 10^{-4}$ Hz 和 Sr$^+$的$9.50(7) \times 10^{-5}$ Hz。 这些变化足够大，可能是频率标准实现预期的$10^{-18}$精度目标的先决条件。 显示英文摘要

摘要： Appraising the projected $10^{-18}$ fractional uncertainty in the optical frequency standards using singly ionized ions, we estimate the black-body radiation (BBR) shifts due to the magnetic dipole (M1) and electric quadrupole (E2) multipoles of the magnetic and electric fields, respectively. Multipolar scalar polarizabilities are determined for the singly ionized calcium (Ca$^+$) and strontium (Sr$^+$) ions using the relativistic coupled-cluster method; though the theory can be exercised for any single ion clock proposal. The expected energy shifts for the respective clock transitions are estimated to be $4.38(3) \times 10^{-4}$ Hz for Ca$^+$ and $9.50(7) \times 10^{-5}$ Hz for Sr$^+$. These shifts are large enough and may be prerequisite for the frequency standards to achieve the foreseen $10^{-18}$ precision goal.