Quantum spin models with electrons in Penning traps

TL;DR

This paper presents a method to simulate quantum spin models using electrons in Penning traps, allowing control over interactions and magnetic fields, with potential for scalable quantum simulations.

Contribution

It introduces a novel scheme to engineer effective spin Hamiltonians from trapped electrons, enabling simulation of models like Ising and XY with controllable parameters.

Findings

Control over spin-spin interactions achieved

Reproduction of Ising and XY models demonstrated

Scheme scalable to many particles

Abstract

We propose a scheme to engineer an effective spin Hamiltonian starting from a system of electrons confined in micro-Penning traps. By means of appropriate sequences of electromagnetic pulses, alternated to periods of free evolution, we control the shape and strength of the spin-spin interaction. Moreover, we can modify the effective magnetic field experienced by the particle spin. This procedure enables us to reproduce notable quantum spin systems, such as Ising and XY models. Thanks to its scalability, our scheme can be applied to a fairly large number of trapped particles within the reach of near future technology.