Self-bound droplets with uncorrelated disordered potentials

Abstract

We investigate the effects of an external random δ-correlated potential on the bulk properties of self-bound droplets in three-dimensional binary Bose–Einstein condensates. The ground-state energy and the quantum fluctuation induced by disorder are computed utilizing the Bogoliubov theory. We provide a comprehensive stability phase-diagram for the resulting dirty droplets. At finite temperature, we calculate the free energy, and the thermal equilibrium density in terms of the disorder parameters. We show that the intriguing interplay of the thermal correction and the disorder may dissolve the droplet.