# Trigonometric protocols for shortcuts to adiabatic transport of cold atoms in anharmonic traps

## TL;DR

This paper introduces trigonometric protocols, especially cosine-based, for rapid and robust atomic transport in anharmonic traps, improving energy efficiency and robustness over previous sine-based methods.

## Contribution

It proposes a novel class of trigonometric protocols for shortcut-to-adiabaticity in atomic transport, accounting for anharmonicities and demonstrating enhanced robustness and lower energy excitation.

## Key findings

- Cosine protocols outperform sine trajectories in robustness.
- Trigonometric protocols reduce final energy excitation.
- Protocols effectively handle cubic and quartic anharmonicities.

## Abstract

Shortcuts to adiabaticity have been proposed to speed up the "slow" adiabatic transport of an atom or a wave packet of atoms. However, the freedom of the inverse engineering approach with appropriate boundary conditions provides thousands of trap trajectories for different purposes, for example, time and energy minimizations. In this paper, we propose trigonometric protocols for fast and robust atomic transport, taking into account cubic or quartic anharmonicities. The numerical results have illustrated that such trigonometric protocols, particular cosine ansatz, is more robust and the corresponding final energy excitation is smaller, as compared to sine trajectories implemented in previous experiments.