As was recently shown in Abumwis et al (2020 Phys. Rev. Lett. 124 193401), many eigenstates of a random Rydberg gas with resonant dipole–dipole interactions are highly delocalized. Although the high degree of delocalization is generic to various types of power-law interactions and to both two and three-dimensional systems, in their detailed aspects the coherence distributions are sensitive to these parameters and vary dramatically between different systems. We calculate the eigenstates of both two and three-dimensional gases and quantify their delocalization throughout the atoms in the gas using a coherence measure. By contrasting the angular dependence of the dipole–dipole interaction with an isotropic interaction we obtain additional information about the generic physical principles underlying random interacting systems. We also investigate the density of states and microwave absorption spectra to obtain information about the types of measurements where th...

中文翻译：

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二维和三维里德堡气体的离域

正如Abumwis等人（2020 Phys。Rev. Lett。124 193401）最近所显示的那样，具有共振偶极-偶极相互作用的随机Rydberg气体的许多本征态高度离域。尽管高度的离域化对于各种类型的幂律相互作用以及二维和三维系统都是通用的，但在其详细方面，相干性分布对这些参数敏感，并且在不同系统之间存在很大差异。我们计算二维和三维气体的本征态，并使用相干度量量化它们在气体中整个原子上的离域。通过将偶极子-偶极子相互作用与各向同性相互作用的角度依赖性进行对比，我们获得了有关随机相互作用系统基础的一般物理原理的更多信息。