论文标题
低能电子哈密顿量的精确确定liy $ _ {1-x} $ ho $ _ {x} $ f $ _ {4} $
Precise determination of low energy electronuclear Hamiltonian for LiY$_{1-x}$Ho$_{x}$F$_{4}$
论文作者
论文摘要
我们使用互补的光谱方法直接测量稀土量子磁铁的最低晶体场能liy $ _ {1-x} $ ho $ _ $ _ {x} $ f $ _ {4} $，包括其超精细拼布，其超级精神分布，其分辨率比以前的分辨率高10倍。由于$^6 \ mathrm {li} $和$^7 \ Mathrm {li} $同位素以及非均匀间隔的超精细转变，我们能够观察到能量水平的分裂。我们提供精致的晶体场参数，并提取偶极和四极超精致常数$ {a_j = 0.02703 \ pM0.00003} $ $ $ \ $ \ textrm {cm}^{ - 1} $} $ {因此，我们确定$^5i_8 $接地状态歧管的所有晶体场能级和磁矩，包括（非线性）超细校正。后者与基于测量的估计值匹配。非线性超精细校正的尺度为不均匀线宽度设置了上限，该宽度仍然可以允许独特的处理选择超精细转变。例如用于量子信息应用程序。此外，我们建立了liy $ _ {1-x} $ ho $ _ $ _ {x} $ f $ _ {4} $的远红外，低温折射索引。
We use complementary optical spectroscopy methods to directly measure the lowest crystal-field energies of the rare-earth quantum magnet LiY$_{1-x}$Ho$_{x}$F$_{4}$, including their hyperfine splittings, with more than 10 times higher resolution than previous work. We are able to observe energy level splittings due to the $^6\mathrm{Li}$ and $^7\mathrm{Li}$ isotopes, as well as non-equidistantly spaced hyperfine transitions originating from dipolar and quadrupolar hyperfine interactions. We provide refined crystal field parameters and extract the dipolar and quadrupolar hyperfine constants ${A_J=0.02703\pm0.00003}$ $\textrm{cm}^{-1}$ and ${B= 0.04 \pm0.01}$ $\textrm{cm}^{-1}$, respectively. Thereupon we determine all crystal-field energy levels and magnetic moments of the $^5I_8$ ground state manifold, including the (non-linear) hyperfine corrections. The latter match the measurement-based estimates. The scale of the non-linear hyperfine corrections sets an upper bound for the inhomogeneous line widths that would still allow for unique addressing of a selected hyperfine transition. e.g. for quantum information applications. Additionally, we establish the far-infrared, low-temperature refractive index of LiY$_{1-x}$Ho$_{x}$F$_{4}$.
