# Atom interferometry using $\delta$-kicked and finite duration pulse-sequences

## TL;DR

This paper explores an atom interferometer utilizing quantum resonances in the $eta$-kicked rotor to achieve large momentum differences, with analytical and numerical analysis guiding optimal pulse parameters for enhanced sensitivity.

## Contribution

It introduces a novel atom interferometry scheme based on $eta$-kicked rotor resonances, providing analytical and numerical insights into pulse duration optimization.

## Key findings

- Analytical expressions for short pulse limit behavior.
- Numerical results for finite pulse durations.
- Optimal pulse duration relations for maximum sensitivity.

## Abstract

We investigate an atom interferometer in which large momentum differences between the arms are obtained by using quantum resonances in the atom optics $\delta$-kicked rotor. The interferometer can potentially measure the Talbot time (from which $h/m$ can be deduced), the local gravitational field, or can serve as a narrow velocity filter. We present an analytical analysis in the short pulse limit, and a numerical investigation for finite pulse durations. The sensitivity of the interferometer is improved by a moderate violation of the short pulse limit. Remarkably simple relations predict the optimal pulse duration, and the sensitivity of the interferometer.