Impeded Bloch Oscillation and Nonlinear Landau-Zener Tunneling of Bose-Einstein Liquid Droplets in Optical Lattices

Due to high density and incompressibility, attempts to enter the quantum regime for usual liquids are prohibited. However, incorporating the high-order Lee-Huang-Yang (LHY) correction, a gas-to-liquid phase transition violating the van der Waals model has been observed in two-component mixtures and dipolar condensates when the particle number exceeds a certain threshold. By tuning interatomic interactions, creating dilute self-bound Bose-Einstein quantum droplets (QD) provides strong evidence of phenomena beyond mean-field (MF) effects [1]. In this work, we theoretically investigated the nonlinear effects on the Bloch oscillation (BO) and the Landau-Zener tunneling (LZT) of a QD in an one-dimensional optical lattice (OL) perturbed by an external force.