Analytic Phase Solution and Point Vortex Model for Dipolar Quantum Vortices

TL;DR

This paper develops an analytic phase solution for dipolar quantum vortices in Bose-Einstein condensates, leading to a minimal model that accurately captures vortex dynamics influenced by anisotropic dipole-dipole interactions.

Contribution

It introduces the dipolar point vortex model (DPVM) with an analytic phase expression, enabling simplified yet accurate analysis of vortex behavior in dipolar quantum fluids.

Findings

DPVM reproduces vortex pair dynamics seen in simulations

The model captures anisotropic velocities and deformed orbits

It provides a foundation for analytic studies of vortex turbulence

Abstract

We derive an analytic expression for the phase of a quantum vortex in a dipolar Bose-Einstein condensate, capturing anisotropic effects from long-range dipole-dipole interactions. This solution provides a foundation for a dipolar point vortex model (DPVM), incorporating both phase-driven flow and dipolar forces. The DPVM reproduces key features of vortex pair dynamics seen in full simulations, including anisotropic velocities, deformed orbits, and directional motion, offering a minimal and accurate model for dipolar vortex dynamics. Our results open the door to analytic studies of vortices in dipolar quantum matter and establish a new platform for exploring vortex dynamics and turbulence in these systems.