Dynamics of Quantum Droplets in a Quasi-one-dimensional Framework: An Analytical Approach

TL;DR

This paper analytically investigates the dynamics and formation conditions of quantum droplets in quasi-one-dimensional dipolar Bose-Einstein condensates, considering both mean field and beyond mean field interactions.

Contribution

It provides an analytical framework for understanding quantum droplet dynamics by incorporating beyond mean field effects in the Extended Gross-Pitaevskii equation.

Findings

Conditions for droplet formation identified.

Interaction competition analyzed.

Analytical expressions for droplet dynamics derived.

Abstract

Quantum droplets have been recently observed in dipolar Bose-Einstein condensates (BECs) and in BEC mixtures. This forms the motivation for us to explore the dynamics of these droplets. We make use of the Extended Gross-Pitaevski equation which apart from the effective mean field (MF) interaction, also includes a beyond mean field interaction. The competition of these two interactions in the context of droplet formation is explored. Further, the conditions for droplet formation are studied.