Long-range correlations of density in a Bose-Einstein condensate expanding in a random potential

TL;DR

This paper investigates how atomic density correlations in a Bose-Einstein condensate expand over long distances in a random potential, revealing enhanced long-range and negative correlations over time.

Contribution

It demonstrates that density correlations are long-range and significantly amplified at long times in a diffusing Bose-Einstein condensate within a random potential.

Findings

Correlations are long-range in the condensate.

Correlations are strongly enhanced at long times.

Distant points show negative correlations.

Abstract

We study correlations of atomic density in a weakly interacting Bose-Einstein condensate, expanding diffusively in a random potential. We show that these correlations are long-range and that they are strongly enhanced at long times. Density at distant points exhibits negative correlations.