Fast and stable manipulation of a charged particle in a Penning trap

TL;DR

This paper introduces methods for rapid and stable manipulation of a charged particle in a Penning trap using shortcuts to adiabaticity, enabling fast control without inducing excitations.

Contribution

It develops and compares two approaches, fast-forward formalism and invariant-based inverse engineering, for non-adiabatic magnetic field changes in a Penning trap.

Findings

Both methods effectively change the radial spread without excitations.

The approaches demonstrate stability under various conditions.

The techniques enable faster manipulation compared to traditional adiabatic methods.

Abstract

We propose shortcuts to adiabaticity which achieve fast and stable control of the state of a charged particle in an electromagnetic field. In particular we design a non-adiabatic change of the magnetic field strength in a Penning trap which changes the radial spread without final excitations. We apply a streamlined version of the fast-forward formalism as well as an invariant based inverse engineering approach. We compare both methods and examine their stability.