Anderson localization of quantum droplets in disordered potentials

Abstract

We study Anderson localization of a one-dimensional quantum droplet in a speckle-like potential employing the generalized Gross–Pitaevskii equation. We compute the droplet width, density profiles, diffusion exponent and coefficient, and the localization length for both small and large droplets. Interesting classes of anomalous diffusions are obtained in transport dynamics ranging from superdiffusion to subdiffusion for a strong disorder strength. We find that above a certain critical disorder strength the droplet exhibits a transition to Anderson localization on the tails. Our results can be readily probed with recent experiments.