Statics, Dynamics and Manipulations of Bright Matter-Wave Solitons in Optical Lattices

TL;DR

This paper investigates the behavior, stability, and control of bright matter-wave solitons in Bose-Einstein condensates within optical lattices and magnetic traps, combining analytical and numerical methods.

Contribution

It provides new analytical and numerical insights into soliton stability, manipulation, and radiation emission in combined trapping potentials with optical lattices.

Findings

Stable pinned soliton states identified

Time-modulated optical lattices can control soliton movement

Strong optical lattices cause significant radiation loss

Abstract

Motivated by recent experimental achievement in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatially periodic optical lattice (OL), in the attractive BEC. We examine pinned states of the soliton and their stability by means of perturbation theory. The analytical predictions are found to be in good agreement with numerical simulations. We then explore possibilities to use a time-modulated OL as a means of stopping and trapping a moving soliton, and of transferring an initially stationary soliton to a prescribed position by a moving OL. We also study the emission of radiation from the soliton moving across the combined magnetic trap and OL. We find that the soliton moves freely (without radiation) across a weak lattice, but suffers strong loss for stronger OLs.