Surface excitation of Rydberg dressed quantum droplet of Bose-Einstein Condensates

TL;DR

This paper investigates how Rydberg electron-atom interactions influence the surface excitations and stability of a two-component Bose-Einstein condensate quantum droplet, revealing enhanced surface energy and stability.

Contribution

It introduces a theoretical analysis of surface modes in Rydberg-dressed BEC droplets, highlighting the role of electron-atom interactions on surface tension and stability.

Findings

Electron-atom interaction increases surface energy.

Surface excitation spectrum varies with interaction strength.

Droplet stability is enhanced by Rydberg electron interactions.

Abstract

We have considered a quantum droplet of two components of Bose-Einstein condensate (BEC) inside the electron of a Rydberg atom to study the surface mode of collective excitation using the Bogoliubov theory of excitation. We have calculated the surface excitation spectrum for various Rydberg electron-atom interaction strengths. From the energy spectrum, we calculated the surface tension of the droplet as a function of Rydberg electron-atom interaction strength. Our study shows that the electron-atom interaction enhances the surface energy; hence, the droplet will be more stable inside the electron of a Rydberg atom.