Rotating Quantum Droplets in Low Dimensions

TL;DR

This paper investigates rotating quantum droplets in low-dimensional Bose-Einstein condensates using a logarithmic Gross-Pitaevskii equation, revealing self-confinement and dynamic behaviors through variational and numerical methods.

Contribution

It introduces a novel analysis of rotating quantum droplets in low dimensions with a logarithmic GPE, highlighting self-confinement and droplet formation mechanisms.

Findings

Observation of compression and expansion dynamics

Prediction of self-confinement in quantum droplets

Analysis of free expansion under rotation

Abstract

Quantum droplets formed by rubidium, lithium, and sodium atoms have been analyzed in this paper by using a logarithmic-type Gross-Pitaevskii equation. Variational methods and numerical techniques were employed to solve the corresponding nonlinear equations. A disk-shaped Bose-Einstein condensate was analyzed to assess its radial evolution. Additionally, free expansion under rotation of the BEC was studied. Compression and expansion around the equilibrium radius were observed in different scenarios, predicting self-confinement, which implies the formation of quantum droplets originating from a BEC state. Briefly, the physical aspects of the system and the possible formation of Bose-nova effects are discussed.