Kapitza stabilization of a repulsive Bose-Einstein condensate in an oscillating optical lattice

TL;DR

This paper demonstrates that Kapitza stabilization can be applied to a repulsive Bose-Einstein condensate in an oscillating optical lattice, preventing spreading and enhancing stability through nonlinear effects.

Contribution

It introduces the concept of Kapitza stabilization in nonlinear quantum fields and analyzes its effects on Bose-Einstein condensates using classical and quantum frameworks.

Findings

Stabilization occurs within specific parameter regions.

Nonlinearity significantly enlarges the stability domain.

Experimental implementation is feasible with current cold atom technology.

Abstract

We show that the Kapitza stabilization can occur in the context of nonlinear quantum fields. Through this phenomenon, an amplitude-modulated lattice can stabilize a Bose-Einstein condensate with repulsive interactions and prevent the spreading for long times. We present a classical and quantum analysis in the framework of Gross-Pitaevskii equation, specifying the parameter region where stabilization occurs. Effects of nonlinearity lead to a significant increase of the stability domain compared with the classical case. Our proposal can be experimentally implemented with current cold atom settings.