Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices

TL;DR

This paper investigates the existence, stability, and controllable manipulation of matter-wave solitons in optical superlattices, demonstrating methods to displace, transfer, and guide solitons using dynamic lattice structures.

Contribution

It introduces the concept of using time-dependent superlattices to actively control matter-wave solitons, a novel approach in the field.

Findings

Solitons can be stably supported in optical superlattices.

Dynamic superlattices enable precise control of soliton positioning.

Numerical experiments show effective soliton displacement and transfer.

Abstract

We analyze the existence and stability of bright, dark, and gap matter-wave solitons in optical superlattices. Then, using these properties, we show that (time-dependent) ``dynamical superlattices'' can be used to controllably place, guide, and manipulate these solitons. In particular, we use numerical experiments to displace solitons by turning on a secondary lattice structure, transfer solitons from one location to another by shifting one superlattice substructure relative to the other, and implement solitonic ``path-following'', in which a matter wave follows the time-dependent lattice substructure into oscillatory motion.