# Simplified landscapes for optimization of shaken lattice interferometry

## TL;DR

This paper demonstrates how phase-modulated optical lattices can be used to split atom clouds into specific momentum states, optimizing the process through simple models, simulations, experiments, and genetic algorithms for improved atom interferometry.

## Contribution

It introduces a simple analytic model for atom splitting in shaken lattices and applies genetic algorithms to optimize splitting efficiency at specific momentum states.

## Key findings

- Single-frequency shaking achieves $oxed{ ext{±}2 ext{ħ}k_L}$ splitting.
- Phase control allows for phase-dependent splitting outcomes.
- Optimization reaches approximately 0.1% accuracy for certain momentum states.

## Abstract

Motivated by recent results using shaken optical lattices to perform atom interferometry, we explore splitting of an atom cloud trapped in a phase-modulated ("shaken") optical lattice. Using a simple analytic model we are able to show that we can obtain the simplest case of $\pm2\hbar k_\mathrm{L}$ splitting via single-frequency shaking. This is confirmed both via simulation and experiment. Furthermore, we are able to split with a relative phase $\theta$ between the two split arms of $0$ or $\pi$ depending on our shaking frequency. Addressing higher-order splitting, we determine that $\pm6\hbar k_\mathrm{L}$ splitting is sufficient to be able to accelerate the atoms in counter-propagating lattices. Finally, we show that we can use a genetic algorithm to optimize $\pm4\hbar k_\mathrm{L}$ and $\pm6\hbar k_\mathrm{L}$ splitting to within $\approx0.1\%$ by restricting our optimization to the resonance frequencies corresponding to single- and two-photon transitions between Bloch bands.