Stationary and dynamical properties of one-dimensional quantum droplets

TL;DR

This paper investigates the stationary and dynamic behaviors of one-dimensional quantum droplets using a variational approach, revealing stable localized states and oscillation properties.

Contribution

It introduces a super-Gaussian variational approach that accurately approximates stationary states and explores the stability and oscillation dynamics of quantum droplets.

Findings

Super-Gaussian VA effectively models stationary states.

Oscillations of droplets are nearly undamped over many periods.

Stable localized states exist for various nonlinearities.

Abstract

The dynamics of quantum droplets in 1D is analyzed on the basis of the variational approach (VA). It is shown that the VA based on the super-Gaussian function gives a good approximation of stationary states. The period of small oscillations of the perturbed droplet is obtained. It is found numerically that oscillations are almost undamped for many periods. Based on the VA, an existence of stable localized states for different combinations of signs of nonlinearities is demonstrated.