Quantum interference and light polarization effects in unresolvable atomic lines: application to a precise measurement of the 6,7 Li D2 lines

TL;DR

This paper investigates quantum interference effects on atomic spectral lines, demonstrating their impact on line shapes and positions, and applying this understanding to precisely measure lithium isotope transition frequencies.

Contribution

It introduces corrected line shape expressions accounting for quantum interference and applies them to improve the accuracy of lithium isotope transition measurements.

Findings

Quantum interference causes non-Lorentzian line shapes dependent on polarization.

Failure to account for interference can shift line centers by up to 1 MHz.

Using corrected lineshapes, the transition frequencies are measured with <= 25 kHz uncertainty.

Abstract

We characterize the effect of quantum interference on the line shapes and measured line positions in atomic spectra. These effects, which occur when the excited state splittings are of order the excited state line widths, represent an overlooked but significant systematic effect. We show that excited state interference gives rise to non-Lorenztian line shapes that depend on excitation polarization, and we present expressions for the corrected line shapes. We present spectra of 6,7 Li D lines taken at multiple excitation laser polarizations and show that failure to account for interference changes the inferred line strengths and shifts the line centers by as much as 1 MHz. Using the correct lineshape, we determine absolute optical transition frequencies with an uncertainty of <= 25kHz and provide an improved determination of the difference in mean square nuclear charge radii between 6 Li and 7 Li. This analysis should be important for a number of high resolution spectral measurements that include partially resolvable atomic lines.