Designing Atomtronic Circuits via Superfluid Dynamics

TL;DR

This paper introduces a method to design atomtronic circuits using Bose-Einstein condensates, demonstrating universal logic gates and their assembly into complex circuits through classical-field simulations.

Contribution

It presents a novel approach to creating atomtronic logic gates and circuits with BECs controlled by mobile barriers, including the implementation of universal gates like AND and NOT.

Findings

Demonstrated an AND gate using a T-shaped BEC with barriers.

Showcased circuit assembly of multiple AND gates.

Created a NOT gate using Josephson oscillations.

Abstract

We propose to design atomtronic circuits with Bose-Einstein condensates (BECs) in circuit-like traps that are controlled via mobile barriers. Using classical-field simulations, we demonstrate a universal set of logical gates and show how to assemble them into circuits. We first demonstrate an AND gate based on a T-shaped BEC, utilizing a combination of mobile and static barriers. The mobile barriers provide the logical input of the gate, while the static barrier functions as a Josephson junction that generates the AND output of the gate via a density imbalance across the barrier. Next we show how to combine three AND gates into a circuit, with a design composed of two T-shapes and an H-shape. Furthermore, we demonstrate how to use Josephson oscillations to create a NOT gate and combine it with an AND gate, thereby showcasing a universal set of gates and their assembly into circuits.