Breathing dynamics of a one-dimensional quantum droplet induced by interaction quenching

Abstract

We study the evolution dynamics of droplets after interaction quenching based on the one-dimensional Lee-Huang-Yang corrected Gross-Pitaevskii equation. After quenching, the droplet can be excited to form a stable breathing mode. The frequencies associated with these breathing modes are discrete and finite in number. In scenarios of weak quenching, each breathing frequency matches the corresponding internal mode frequency predicted by the linearized Bogoliubov-de Gennes equation. As the quenching strength increases, the intensity of the breathing modes grows while their frequencies decrease, until the breathing modes are disrupted. These findings indicate a significant relationship between the nonlinear excitation modes of the droplet and the linear excitation modes, thereby contributing important insights for the theoretical advancement of nonlinear excitation modes.