Dynamics and stability of Bose-Einstein solitons in tilted optical lattices

TL;DR

This paper studies the behavior and stability of Bose-Einstein solitons in tilted optical lattices, revealing conditions under which they exhibit stable Bloch oscillations and are resilient to perturbations.

Contribution

It demonstrates the stability of breathing solitons in tilted lattices using a time-reversal argument and Floquet theory, advancing understanding of matter-wave interferometry.

Findings

Breathing solitons can be more stable than rigid solitons.

Bloch oscillations of these solitons can be stabilized.

Certain perturbations do not destabilize the solitons.

Abstract

Bloch oscillations of Bose-Einstein condensates realize sensitive matter-wave interferometers. We investigate the dynamics and stability of bright-soliton wave packets in one-dimensional tilted optical lattices with a modulated mean-field interaction $g(t)$. By means of a time-reversal argument, we prove the stability of Bloch oscillations of breathing solitons that would be quasistatically unstable. Floquet theory shows that these breathing solitons can be more stable against certain experimental perturbations than rigid solitons or even non-interacting wave packets.