Mean-field description of ultracold Bosons on disordered two-dimensional optical lattices

TL;DR

This paper investigates how disorder affects ultracold Bosonic gases in two-dimensional optical lattices, revealing that disorder can suppress superfluidity while maintaining some coherence, with implications for understanding quantum phase transitions.

Contribution

It provides a mean-field theoretical framework to analyze the impact of disorder on superfluidity and phase distribution in 2D optical lattices loaded with ultracold Bosons.

Findings

Disorder suppresses superfluidity in the system.

Partial preservation of coherence despite disorder.

Spatial phase distribution is significantly affected by disorder.

Abstract

In the present paper we describe the properties induced by disorder on an ultracold gas of Bosonic atoms loaded into a two-dimensional optical lattice with global confinement ensured by a parabolic potential. Our analysis is centered on the spatial distribution of the various phases, focusing particularly on the superfluid properties of the system as a function of external parameters and disorder amplitude. In particular, it is shown how disorder can suppress superfluidity, while partially preserving the system coherence.