Multichannel Quantum Defect Theory of Strontium Rydberg Series

Abstract

Using the reactance matrix approach, we systematically develop new multichannel quantum defect theory models for the singlet and triplet S, P, D and F states of strontium based on improved energy level measurements. The new models reveal additional insights into the character of doubly excited perturber states, and the improved energy level measurements for certain series allow fine structure to be resolved for those series' perturbers. Comparison between the predictions of the new models and those of previous empirical and \emph{ab initio} studies reveals good agreement with most series, however some discrepancies are highlighted. Using the multichannel quantum defect theory wave functions derived from our models we calculate other observables such as Landé $g_J$-factors and radiative lifetimes. The analysis reveals the impact of perturbers on the Rydberg state properties of divalent atoms, highlighting the importance of including two-electron effects in the calculations of these properties. The work enables future investigations of properties such as Stark maps and long-range interactions of Rydberg states of strontium.

22 pages, 14 figures

References in corpus (4)

• Dipole blockade in a cold Rydberg atomic sample
• Long-range Rydberg-Rydberg interactions in calcium, strontium and ytterbium
• Two-electron excitation of an interacting cold Rydberg gas
• Divalent Rydberg atoms in optical lattices: intensity landscape and magic trapping

Cited by in corpus (20)

• Trapped arrays of alkaline earth Rydberg atoms in optical tweezers
• Ultralong-Range Rydberg Molecules in a Divalent-Atomic System
• A comprehensive review on developments of synthetic dimensions
• Robust control and optimal Rydberg states for neutral atom two-qubit gates
• Accessing Rydberg-dressed interactions using many-body Ramsey dynamics
• Laser and microwave spectroscopy of even-parity Rydberg states of neutral ytterbium and Multichannel Quantum Defect Theory analysis
• Rydberg Electrometry for Optical Lattice Clocks
• Multichannel long-range Rydberg molecules
• Theory of long range interactions for Rydberg states attached to hyperfine split cores
• Measurement of the strontium triplet Rydberg series by depletion spectroscopy of ultracold atoms
• Rydberg quantum computation with nuclear spins in two-electron neutral atoms
• Hyperentanglement of divalent neutral atoms by Rydberg blockade
• Rydberg blockade in an ultracold strontium gas revealed by two-photon excitation dynamics
• Spectroscopy of Rydberg States in Erbium using Electromagnetically Induced Transparency
• Rydberg Macrodimers: Diatomic molecules on the micrometer scale
• Intercombination Effects in Resonant Energy Transfer
• Heralded W state preparation using laser-designed super-atoms
• Engineering Rydberg-pair interactions in divalent atoms with hyperfine-split ionization thresholds
• Error-budgeting for a controlled-phase gate with strontium-88 Rydberg atoms
• Multichannel quantum defect theory of strontium bound Rydberg states