# Bang-bang shortcut to adiabaticity in the Dicke model as realized in a Penning trap experiment

## TL;DR

This paper presents a rapid 'bang-bang' shortcut to adiabaticity for the Dicke model, implemented in a Penning trap experiment with trapped ions, enabling fast creation of entangled states for precision measurement.

## Contribution

It introduces a novel bang-bang control method for the Dicke model and demonstrates its experimental feasibility in a Penning trap setup.

## Key findings

- Performance comparable to standard methods
- Shorter preparation time for entangled states
- Experimental validation of theoretical approach

## Abstract

We introduce a bang-bang shortcut to adiabaticity for the Dicke model, which we implement via a 2-D array of trapped ions in a Penning trap with a spin-dependent force detuned close to the center-of-mass drumhead mode. Our focus is on employing this shortcut to create highly entangled states that can be used in high-precision metrology. We highlight that the performance of the bang-bang approach is comparable to standard preparation methods, but can be applied over a much shorter time frame. We compare these theoretical ideas with experimental data which serve as a first step towards realizing this theoretical procedure for generating multi-partite entanglement.