One-dimensional matter waves as a multi-state bit

TL;DR

This paper presents a method to control the position of a localized matter wave using a three-state switch in a system with two counter-phased periodic potentials and an optional disordered lattice, enabling multi-state bit behavior.

Contribution

It introduces a novel control technique for matter waves using simple switching among multiple potentials, demonstrating robustness and multi-state capabilities.

Findings

The system can reliably encode multiple states of a matter wave.

The multi-state bit behavior persists under various potential configurations.

The control method is robust to disorder and potential variations.

Abstract

We design a technique to control the position of a localized matter wave. Our system is composed by a two counter-phased periodic potentials and a third optical lattice which can be chosen to be either periodic or disordered. The only control needed on the system is a three-state switch that allows the instantaneous selection of the desired potential. We show that this framework is robust and the multi-state bit behavior can be observed under generic hypothesis.