# Acceleration and localization of matter in a ring trap

## TL;DR

This paper explores how a toroidal trap with a time-dependent electric field can control matter waves, enabling acceleration, localization, and complex dynamical behaviors like the Kapitza pendulum.

## Contribution

It demonstrates the use of external electric fields in a ring trap to induce various dynamical regimes of matter waves, including acceleration and localization.

## Key findings

- External electric fields can accelerate matter in a ring trap.
- Proper force choices lead to matter wave localization.
- The Kapitza pendulum dynamics can be implemented with this setup.

## Abstract

A toroidal trap combined with external time-dependent electric field can be used for implementing different dynamical regimes of matter waves. In particular, we show that dynamical and stochastic acceleration, localization and implementation of the Kapitza pendulum can be originated by means of proper choice of the external force.