Ultra precise determination of Cs($n{S}_{1/2}$) and Cs($n{D}_J$) quantum defects for sensing and computing: Evaluation of core contributions

Abstract

We make absolute frequency measurements of Cs Rydberg transitions, $|6S_{1/2},F=3⟩\to |n{S}_{1/2}(n=23-90)⟩$ and $|n{D}_{3/2,5/2}(n=21-90)⟩$, with an accuracy of less than $72\mathrm{kHz}$. The quantum defect parameters for the measured Rydberg series are the most precise obtained to date. The quantum defect series is terminated at ${\delta }_4$, showing that prior fits requiring higher order quantum defects reflect uncertainties in the observations. The precision of the measured quantum defects allow for the calculation of Rydberg electric-dipole transitions and fine-structure intervals extrapolated from high principal quantum numbers, to rival that of sophisticated many-body relativistic calculations carried out at low Rydberg principal quantum numbers. We quantitatively predict the contributions to the quantum defect parameters from core polarization and core penetration of Cs inner shell electrons. A new value for the ionization energy, consistent across the $n{S}_{1/2}$ and $n{D}_{3/2,5/2}$ Rydberg series, is reported at $31406.46775148(14){\mathrm{cm}}^{-1}$.

15 pages, 7 figures, 7 tables

References in corpus (9)

• Atom Interferometers
• Logical quantum processor based on reconfigurable atom arrays
• Quantum computing with neutral atoms
• Resolving the gravitational redshift within a millimeter atomic sample
• Assessment of Rydberg Atoms for Wideband Electric Field Sensing
• Simultaneous Use of Cs and Rb Rydberg Atoms for Independent RF Electric Field Measurements via Electromagnetically Induced Transparency
• Supercharged two-dimensional tweezer array with more than 1000 atomic qubits
• Level-crossing spectroscopy of the 7, 9, and 10D_5/2 states of 133Cs and validation of relativistic many-body calculations of the polarizabilities and hyperfine constants
• Optical-lattice based Cs active clock with continual superradiant lasing signal

Cited by in corpus (2)

• Determination of Quantum Defects and Core Polarizability of Atomic Cesium via Terahertz and Radio-Frequency Spectroscopy in Thermal Vapor
• Precision measurement of Cs($n{F}_J$) quantum defects and calculations of scalar and tensor polarizabilities of the $n{S}_{1/2}$, $n{P}_J$ ,$n{D}_J$ , and $n{F}_J$ series