Theory of long range interactions for Rydberg states attached to hyperfine split cores

Abstract

The theory is developed for one and two atom interactions when the atom has a Rydberg electron attached to a hyperfine split core state. This situation is relevant for some of the rare earth and alkaline earth atoms that have been proposed for experiments on Rydberg-Rydberg interactions. For the rare earth atoms, the core electrons can have a very substantial total angular momentum, $J$, and a non-zero nuclear spin, $I$. In the alkaline earth atoms there is a single, $s$, core electron whose spin can couple to a non-zero nuclear spin for odd isotopes. The resulting hyperfine splitting of the core state can lead to substantial mixing between the Rydberg series attached to different thresholds. Compared to the unperturbed Rydberg series of the alkali atoms, the series perturbations and near degeneracies from the different parity states could lead to qualitatively different behavior for single atom Rydberg properties (polarizability, Zeeman mixing and splitting, etc) as well as Rydberg-Rydberg interactions ($C_5$ and $C_6$ matrices).

References in corpus (8)

• Bose-Einstein Condensation of Erbium
• Self-bound droplets of a dilute magnetic quantum liquid
• Quantum degenerate dipolar Fermi gas
• Consequences of Zeeman Degeneracy for van der Waals Blockade between Rydberg Atoms
• Quantum computing with alkaline earth atoms
• Long-range Rydberg-Rydberg interactions in calcium, strontium and ytterbium
• Spectroscopy of strontium Rydberg states using electromagnetically induced transparency
• Measurement of Holmium Rydberg series through MOT depletion spectroscopy

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• Spectroscopy of Rydberg States in Erbium using Electromagnetically Induced Transparency
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• An alternative representation of multichannel Rydberg spectra: a modified K-matrix and Lu-Fano plot, applied to manganese spectroscopy