Long lived matter waves Bloch oscillations and dynamical localization by time dependent nonlinearity management

TL;DR

This paper proposes a method using time-dependent nonlinearity modulation to achieve long-lived Bloch oscillations and dynamical localization of matter wave solitons in optical lattices, enhancing their stability for experimental applications.

Contribution

The authors introduce a novel approach employing harmonic nonlinearity modulations to preserve wave packet width during Bloch oscillations and localization in optical lattices.

Findings

Wave packet width remains stable with proper nonlinearity modulation.

Harmonic modulations effectively match the curvature of the linear band spectrum.

Method is experimentally feasible via Feshbach resonance techniques.

Abstract

We introduce a new method to achieve long lived Bloch oscillations and dynamical localization of matter wave gap solitons in optical lattices. The method is based on time dependent modulations of the nonlinearity which can be experimentally implemented by means of the Feshbach resonance technique. In particular, we show that the width of the wave packet is preserved if time modulations of the nonlinearity are taken proportional to the curvature of the linear band spectrum which for most typical experimental settings are well approximated by harmonic time modulations of proper frequencies.