Quantum droplet speed management and supersolid behavior in external harmonic confinement

TL;DR

This paper presents a method to control quantum droplet dynamics in Bose-Einstein condensates using time-modulated harmonic traps, revealing supersolid behavior and potential applications in quantum technologies.

Contribution

It introduces a novel control scheme for quantum droplets in BECs under external confinement, demonstrating supersolid features through analytical solutions.

Findings

Controlled slowing, stopping, and reversing of droplets.

Observation of crystalline order with superfluid background.

Identification of parameter regimes exhibiting supersolid behavior.

Abstract

In this work, we propose a management method for controlling the speed and direction of self-bound quantum droplets (QDs) in a binary Bose-Einstein condensate mixture under time-modulated external harmonic confinement. Utilizing the 1D extended Gross-Pit"{a}evskii equation, QDs are constructed within both regular and expulsive parabolic traps, considering temporally varying attractive quadratic beyond mean field and repulsive cubic mean-field atom-atom interactions. Through the derived wavefunction solution, we illustrate the dynamics of slowing, stopping, reversing, fragmentation, collapse, and revival of droplets. Additionally, the solutions reveal a crystalline order with a superfluid background, indicative of supersolid behavior in various parameter domains. Notably, one-third of the constant background matches the lowest residual condensate. These findings hold potential applications in matter-wave interferometry and quantum information processing.