Low-dimensional Bose-Bose Mixture in Random Speckle Potential

TL;DR

This study investigates how repulsive speckle potentials affect low-dimensional Bose-Einstein condensate mixtures, revealing density pattern formations and stability characteristics in 1D and 2D systems through numerical simulations.

Contribution

It provides new insights into the effects of random speckle potentials on Bose-Einstein condensates in low dimensions, including density structures and stability analysis.

Findings

Condensate forms a sharp ring in 2D under speckle potential.

In 1D, condensate divides into two parts at high impurity density.

Impurity response behavior is similar in 1D and 2D quantum droplets.

Abstract

In this work, we have studied the effect of the repulsive speckle potential in a mixture of Bose-Einstein condensates in one dimension (1D) and two dimension (2D). We simulated linear and circular random speckle potentials in 1D and 2D, respectively. Our calculation shows that the condensate density forms a sharp ring in 2D, and the condensate is divided into two parts in 1D at a high impurity density of speckle potential. We have calculated the energy and chemical potential of the system by solving the Gross-Pitaevskii (GP) equation to see the stability of the condensate. In our study, we have seen that the nature of the impurity response is the same for one-dimensional and two-dimensional quantum droplets.