Regular and chaotic Bose-Einstein condensate in an accelerated Wannier-Stark lattice

TL;DR

This paper explores the behavior of a Bose-Einstein condensate in an accelerated Wannier-Stark lattice, providing analytical solutions and demonstrating control over regular and chaotic matter waves.

Contribution

It presents the first exact analytical solution for the system and shows how to generate and control regular and chaotic matter waves experimentally.

Findings

Exact analytical solution for the driven Gross-Pitaevskii equation

Demonstration of regular and chaotic solutions with accelerated flow densities

Proposed experimental scheme for matter-wave control

Abstract

We investigate a Bose-Einstein condensate held in a quasi-one-dimensional Wannier-Stark lattice which is a combination of linear potential with an accelerated optical lattice. It is demonstrated that the system can be reduced to a periodically driven Gross-Pitaevskii one, in which we find the first exact analytical solution and the regular and chaotic numerical solutions with accelerated atomic flow densities. The results suggest an experimental scheme for generating and controlling the accelerating regular and chaotic matter-waves.