Anderson localization of quantum droplets in disordered potentials

TL;DR

This paper investigates how quantum droplets in disordered potentials undergo Anderson localization, analyzing their properties and transport dynamics, and identifying a transition point to localization.

Contribution

It provides a detailed analysis of Anderson localization in quantum droplets using the generalized Gross-Pitaevskii equation, including transport behavior and localization transition.

Findings

Quantum droplets exhibit Anderson localization above a critical disorder strength.

Transport dynamics range from superdiffusion to subdiffusion depending on disorder.

Localization length and diffusion coefficients are computed for various droplet sizes.

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. Our results can be redibly probed with recent experiments.