# An optical lattice based method for precise measurements of atomic parity violation

## TL;DR

This paper proposes an optical lattice-based method to measure atomic parity violation with high precision, potentially surpassing previous measurements by a significant margin, using realistic parameters and advanced atomic calculations.

## Contribution

It introduces a novel optical lattice technique for precise parity violation measurements in neutral atoms, extending prior ion-based schemes to large atomic samples.

## Key findings

- Projected spectroscopic signature of parity violation around 1 Hz.
- Estimated measurement precision of 0.1% with 30,000 seconds of interrogation.
- Potential to improve weak charge measurements in cesium by at least five times.

## Abstract

We propose a method for measuring parity violation in neutral atoms. It is an adaptation of a seminal work by Fortson [Phys. Rev. Lett. {\bf 70}, 2383 (1993)], proposing a scheme for a single trapped ion. In our version, a large sample of neutral atoms should be localised in an optical lattice overlapping a grid of detection sites, all tailored as the single site in Fortson's work. The methodology is of general applicability, but as an example we estimate the achievable signal in an experiment probing a nuclear spin independent parity violation on the line $6\mathrm{s}\,^2\mathrm{S}_{1/2}$--$5\mathrm{d}\,^2\mathrm{D}_{3/2}$ in $^{133}$Cs. The projected result is based on realistic parameters and \textit{ab initio} calculations of transition amplitudes, using the relativistic coupled-cluster method. The final result is a predicted spectroscopic signature, evidencing parity violation, of the order of 1 Hz, for a sample of $10^8$ atoms. We show that a total interrogation time of 30000 s should suffice for achieving a precision of the order of 0.1\% --- surpassing previous determinations of the weak charge in Cs by at least a factor of five.