Finite Size Effects in LHY Droplets

Quantum droplets, stabilized by the Lee-Huang-Yang corrections, are governed by nonlinear interaction of dimension-dependent power that differs from the mean-field interaction of Bose-Einstein condensates. In this paper we investigate the superfluid properties of the quantum droplets by simulating the emergence of a scissor mode in a two-dimensional quantum droplet in a deformed harmonic oscillator after a rotational quench. We focus on the number of atoms dependence of the mode frequency and compare it with Bose-Einstein condensates and the analytical expression in the thermodynamic limit. We show that the finite size effects are defined by the interaction exponent and characterize this dependence.