Open quantum systems approach to atomtronics

TL;DR

This paper develops a quantum master equation framework to model atomtronic devices using ultracold atoms in optical lattices, demonstrating diode, transistor, and logic gate functionalities with concrete current fluctuation analysis.

Contribution

It introduces a novel quantum master equation approach to simulate atomtronic systems and demonstrates their potential for quantum device functionalities.

Findings

Realization of diode, transistor, and logic gate behaviors with ultracold atoms

Analysis of current fluctuations in atomtronic diodes

Feasibility of atomtronic logic gates in optical lattices

Abstract

We derive a quantum master equation to treat quantum systems interacting with multiple reservoirs. The formalism is used to investigate atomic transport across a variety of lattice configurations. We demonstrate how the behavior of an electronic diode, a field-effect transistor, and a bipolar junction transistor can be realized with neutral, ultracold atoms trapped in optical lattices. An analysis of the current fluctuations is provided for the case of the atomtronic diode. Finally, we show that it is possible to demonstrate AND logic gate behavior in an optical lattice.