Quantum liquid droplets in Bose mixtures with weak disorder

Self-bound droplets with uncorrelated disordered potentials

“…One should stress that the results of the present work coincide with those found for a Gaussian-correlated disorder [26] only when the correlation length is much smaller than the extended healing length of the droplet.…”

“…This enables us to provide a phase diagram for the regime of interspecies interaction and disorder strengths where stable self-bound states survive. Surprisingly we find that the disorder contribution to the ground-state energy is positive in contrast to that provided by the Gaussian disorder [26], which is negative, giving rise to affect the stability of the droplet. Furthermore, we derive useful expressions for the equilibrium density and the critical disorder strength of the self-bound droplet.…”

“…We then extend our study to finite temperature and analyze the thermal properties of dirty droplets. Our results suggest that the thermal equilibrium density and the critical temperature above which the droplet evaporates are different from those found for Gaussian disorder [26] due to the interplay of the LHY quantum corrections and disorder correlation effects.…”

“…Furthermore, we derive useful expressions for the equilibrium density and the critical disorder strength of the self-bound droplet. The behavior of such a critical disorder strength is shown to be markedly different from that of Gaussian disorder [26]. The disorder fraction inside the droplet is also calculated in terms of the system parameters.…”

“…However, relatively less is known on the behavior of the quantum droplet in the presence of disordered potentials [25,26]. In the case of ordinary BECs, the peculiar interplay of disorder and interactions plays a crucial role in understanding complex phenomena and quantum phases in ultracold gases namely: the Bose glass [27][28][29][30][31], Anderson localization [32][33][34][35][36][37][38][39][40][41], disordered BEC in optical lattices [42][43][44][45], the superglass phase (see e.g [46]), and dipolar BEC in random potentials [47][48][49][50][51][52][53].…”