# Systematic Effects in 2D Trapped Matter-Wave Interferometers

## TL;DR

This paper investigates systematic effects in 2D trapped matter-wave interferometers used for rotation sensing, demonstrating that current control techniques can mitigate imperfections and enhance robustness.

## Contribution

It characterizes the systematic effects in 2D TMIs and shows that existing experimental control can make these interferometers resilient to imperfections.

## Key findings

- Current experimental control enables robust operation against imperfections.
- Systematic effects can be characterized and mitigated in 2D TMIs.
- Enhanced robustness improves precision sensing capabilities.

## Abstract

Trapped matter-wave interferometers (TMIs) present a platform for precision sensing within a compact apparatus, extending coherence time by repeated traversal of a confining potential. However, imperfections in this potential can introduce unwanted systematic effects, particularly when combined with errors in the associated beamsplitter operations. This can affect both the interferometer phase and visibility, and can make the performance more sensitive to other experimental imperfections. I examine the character and degree of these systematic effects, in particular within the context of 2D TMIs applicable for rotation sensing. I show that current experimental control can enable these interferometers to operate in a regime robust against experimental imperfections.