Dynamics of quasi-one-dimensional quantum droplets in Bose-Bose mixtures

TL;DR

This paper analytically and numerically investigates the dynamics, stability, and resonance behaviors of quasi-one-dimensional quantum droplets in Bose-Bose mixtures, incorporating quantum fluctuations and external modulations.

Contribution

It introduces a variational super-Gaussian approach to analyze quantum droplet properties and explores resonance phenomena induced by scattering length modulation.

Findings

Identification of stationary droplet parameters

Estimation of breathing mode oscillation frequencies

Observation of resonance oscillations and wave emissions

Abstract

The properties of quasi-one-dimensional quantum droplets of Bose-Einstein condensates are investigated analytically and numerically, taking into account the contribution of quantum fluctuations. Through the development of a variational approach employing the super-Gaussian function, we identify stationary parameters for the quantum droplets. The frequency of breathing mode oscillations in these quantum droplets is estimated. Moreover, the study reveals that periodic modulation in time of the atomic scattering length induces resonance oscillations in quantum droplet parameters or the emission of linear waves, contingent on the amplitude of the external modulation. A similar analysis is conducted for the Lee-Huang-Yang fluid, confined in a parabolic potential. Theoretical predictions are corroborated through direct numerical simulations of the governing extended Gross-Pitaevskii equation. Additionally, we study the collision dynamics of quasi-one-dimensional quantum droplets.