Infinite dipolar droplet -- a simple theory for the macro-droplet regime

TL;DR

This paper develops a simplified theoretical model for infinite dipolar droplets in a zero-temperature bosonic gas, providing insights into their properties and collective excitations, and connecting to experimental finite droplets.

Contribution

It introduces a simple theory for infinite dipolar droplets that accurately describes large finite droplets and their collective behaviors.

Findings

The theory simplifies calculations of droplet states and excitations.

Numerical and variational solutions match experimental large droplets.

Analysis of speed of sound and thermodynamic limit in dipolar droplets.

Abstract

In this paper we develop a theory for an infinitely long droplet state of a zero temperature dipolar bosonic gas. The infinite droplet theory yields simpler equations to solve for the droplet state and its collective excitations. We explore the behavior of infinite droplets using numerical and variational solutions, and demonstrate that it can provide a quantitative description of large finite droplets of the type produced in experiments. We also consider the axial speed of sound and the thermodynamic limit of a dipolar droplet.