Three-dimensional Gross-Pitaevskii solitary waves in optical lattices: stabilization using the artificial quartic kinetic energy induced by lattice shaking

TL;DR

This paper proposes stabilizing three-dimensional Bose-Einstein solitary waves by engineering a quartic dispersion via shaken optical lattices, enabling stable, mobile macroscopic quantum objects.

Contribution

It introduces a method to realize quartic dispersion in optical lattices to stabilize 3D Bose-Einstein solitary waves, a novel approach in quantum matter control.

Findings

Stable 3D solitary waves can be achieved with quartic dispersion.

The solitary waves occupy a small fraction of the Brillouin zone.

These waves can contain up to 1000 atoms and remain fully mobile.

Abstract

In this Letter, we show that a three-dimensional Bose-Einstein solitary wave can become stable if the dispersion law is changed from quadratic to quartic. We suggest a way to realize the quartic dispersion, using shaken optical lattices. Estimates show that the resulting solitary waves can occupy as little as $\sim 1/20$-th of the Brillouin zone in each of the three directions and contain as many as $N = 10^{3}$ atoms, thus representing a \textit{fully mobile} macroscopic three-dimensional object.