Effect of beyond mean-field interaction on the structure and dynamics of the one-dimensional quantum droplet

We present simulation results of the ground state structure and dynamics of quantum droplets in one-dimensional spin-orbit coupled binary Bose-Einstein condensates. We have considered two cases for this analysis, such as (i) the mean-field term has a vanishingly small contribution utilizing the equal and opposite inter- and intraspecies interaction and (ii) unequal inter- and intraspecies interaction. For both cases, it shows remarkably different natures of the quantum droplet. In the former case, it exhibits bright sech-like droplet nature, while in the latter case, we find the flattened sech-like shape of the droplet. Further, we analyze the effect of velocity perturbation on the dynamics in both cases. For the first case, we find a systematic change from the solitonic droplet nature to the breathing droplet which finally has a moving droplet feature upon increasing the velocity. However, the second case shows similar dynamics except having more dynamically stable features than the first. Finally, we present various dynamics that ensued in the quantum droplet due to the quenching of the interaction parameters, coupling parameters or allowing the droplet to undergo collisions.