Long-living Bloch oscillations of matter waves in optical lattices

TL;DR

This paper demonstrates that by engineering the spatial nonlinearity in optical lattices, one can achieve long-lasting Bloch oscillations of matter waves, maintaining wave packet integrity over many periods.

Contribution

It introduces a method to induce long-living Bloch oscillations through spatially dependent nonlinearity, supported by analytical and numerical evidence.

Findings

Bloch oscillations can last for dozens of periods without distortion.

Spatially dependent nonlinearity stabilizes matter wave dynamics.

The approach is validated through combined analytical and numerical methods.

Abstract

It is shown that by properly designing the spatial dependence of the nonlinearity it is possible to induce long-living Bloch oscillations of a localized wavepacket in a periodic potential. The results are supported both by analytical and numerical investigations and are interpreted in terms of matter wave dynamics displaying dozens of oscillation periods without any visible distortion of the wave packet.