Determination of the scattering length of erbium atoms
Determination of the scattering length of erbium atoms
复制标题
铒原子散射长度的测定
DOI：
10.1103/physreva.105.063307
复制
发表时间：
2022
影响因子：
2.9
通讯作者：
Ferlaino, F.
中科院分区：
文献类型：
--
作者：
Patscheider, A.;Chomaz, L.;Natale, G.;Petter, D.;Mark, M. J.;Baier, S.;Yang, B.;Wang, R. R.;Bohn, J. L.;Ferlaino, F.
一个准确的知识的散射长度是基本的超冷量子气体实验和系统的表征，以及一个有意义的比较理论模型是必不可少的。在这里，我们执行的波散射长度为四个最高丰度的铒同位素，在磁场范围从0到5 G的仔细表征。我们报告的跨维热化测量和应用Enskog方程的变化数值模拟热化过程，并解析提取的表达式为所谓的碰撞次数每次再热化（NCPR），以获得从我们的实验数据。我们基准测试应用的交叉维热化技术与实验更苛刻的晶格调制光谱，并找到我们的参数制度很好的协议。我们的实验是兼容的NCPR的依赖性，如理论上预期的情况下，强偶极气体。令人惊讶的是，我们实验观察到的NCPR的密度，这可能是由于偏离理想的谐波捕获配置的依赖性。最后，我们应用一个模型的依赖性的背景散射长度与同位素质量，使我们能够估计的束缚态的铒的数量。
An accurate knowledge of the scattering length is fundamental in ultracold quantum gas experiments and essential for the characterization of the system as well as for a meaningful comparison to theoretical models. Here, we perform a careful characterization of the-wave scattering lengthfor the four highest-abundance isotopes of erbium, in the magnetic field range from 0 to 5 G. We report on cross-dimensional thermalization measurements and apply the Enskog equations of change to numerically simulate the thermalization process and to analytically extract an expression for the so-called number of collisions per rethermalization (NCPR) to obtainfrom our experimental data. We benchmark the applied cross-dimensional thermalization technique with the experimentally more demanding lattice modulation spectroscopy and find good agreement for our parameter regime. Our experiments are compatible with a dependence of the NCPR with, as theoretically expected in the case of strongly dipolar gases. Surprisingly, we experimentally observe a dependency of the NCPR on the density, which might arise due to deviations from an ideal harmonic trapping configuration. Finally, we apply a model for the dependency of the background scattering length with the isotope mass, allowing us to estimate the number of bound states of erbium.