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arXiv · 2507.02779

Analytic Phase Solution and Point Vortex Model for Dipolar Quantum Vortices

Ryan Doran·Thomas Bland
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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.

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Ryan Doran, Thomas Bland. 2025-07-03. Analytic Phase Solution and Point Vortex Model for Dipolar Quantum Vortices. https://arxiv.org/abs/2507.02779

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