Spatial non-adiabatic passage using geometric phases

TL;DR

This paper presents realistic non-adiabatic protocols for fast spatial quantum state transfer in a three-well system, leveraging geometric phases induced by magnetic fields to achieve high fidelity in short times.

Contribution

It introduces a novel non-adiabatic method utilizing geometric phases for rapid spatial state manipulation in quantum systems.

Findings

High-fidelity particle transport between wells

Generation of delocalized superpositions in short times

Use of magnetic field-induced geometric phases

Abstract

Quantum technologies based on adiabatic techniques can be highly effective, but often at the cost of being very slow. Here we introduce a set of experimentally realistic, non-adiabatic protocols for spatial state preparation, which yield the same fidelity as their adiabatic counterparts, but on fast timescales. In particular, we consider a charged particle in a system of three tunnel-coupled quantum wells, where the presence of a magnetic field can induce a geometric phase during the tunnelling processes. We show that this leads to the appearance of complex tunnelling amplitudes and allows for the implementation of spatial non-adiabatic passage. We demonstrate the ability of such a system to transport a particle between two different wells and to generate a delocalised superposition between the three traps with high fidelity in short times.