Hyperfine structure of laser-cooling transitions in fermionic erbium-167

TL;DR

This study measures and analyzes the hyperfine structure of fermionic erbium-167's laser cooling transitions, providing experimental data and ab initio calculations crucial for quantum degenerate dipolar Fermi gas experiments.

Contribution

It offers the first detailed hyperfine constants for erbium-167's laser cooling transitions, combining experimental spectra with relativistic ab initio calculations for high accuracy.

Findings

Hyperfine constants for excited states determined with high precision.

Good agreement between experimental data and ab initio calculations.

Isotope shifts relative to bosonic isotopes measured.

Abstract

We have measured and analyzed the hyperfine structure of two lines, one at 583nm and one at 401nm, of the only stable fermionic isotope of atomic erbium as well as determined its isotope shift relative to the four most-abundant bosonic isotopes. Our work focuses on the J->J+1 laser cooling transitions from the [Xe] 4f12 6s2 (3H6) ground state to two levels of the excited [Xe] 4f12 6s6p configuration, which are of major interest for experiments on quantum degenerate dipolar Fermi gases. From a fit to the observed spectra of the strong optical transition at 401nm we find that the magnetic dipole and electric quadrupole hyperfine constants for the excited state are Ae/h=-100.1(3)MHz and Be/h=-3079(30)MHz, respectively. The hyperfine spectrum of the narrow transition at 583nm, was previously observed and accurate Ae and Be coefficients are available. A simulated spectrum based on these coefficients agrees well with our measurements. We have also determined the hyperfine constants using relativistic configuration-interaction ab initio calculations. The agreement between the ab initio and fitted data for the ground state is better than 0.1%, while for the two excited states the agreement is 1% and 11% for the Ae and Be constants, respectively.