Effects of weak disorder on two-dimensional bilayered dipolar Bose-Einstein condensates

TL;DR

This paper explores how weak disorder affects two-dimensional bilayered dipolar Bose-Einstein condensates, revealing new phenomena related to localization, superfluidity, and phase transitions influenced by interlayer interactions and polarization.

Contribution

It provides the first detailed analysis of disorder effects on bilayered dipolar BECs, combining analytical and numerical methods within the Bogoliubov framework.

Findings

Disorder can induce localization or delocalization of particles.

Interlayer coupling and polarization orientation significantly influence phase behavior.

Results generalize known single-layer and zero-range interaction cases.

Abstract

We investigate properties of two-dimensional bilayered dipolar Bose condensed gases in a weak random potential with Gaussian correlation at zero temperature. Here the dipoles are oriented perpendicularly to the layers and in parallel/antiparallel configurations. We calculate analytically and numerically the condensate depletion, the one-body density-matrix, and the superfluid fraction in the framework of the Bogoliubov theory. Our analysis not only provides fascinating new results do not exist in the literature but also shows that the intriguing interplay between the disorder, the interlayer coupling and the polarization orientation may lead to localize/delocalize the condensed particles results in the formation of glassy/superfluid phases. For a pure short-range interaction and a vanishing correlation length and a small interlayer distance, we reproduce the seminal results of Huang and Meng. While for a vanishing interlayer distance, our results reduce to the those obtained for single layer systems.