Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates
Abstract
In two spatial dimensions, vortex-vortex interactions approximately vary with the logarithm of the inter-vortex distance, making it possible to describe an ensemble of vortices as a Coulomb gas. We introduce a duality between vortices in a quasi-two-dimensional (quasi-2D) scalar Bose-Einstein condensates (BEC) and effective Maxwell's electrodynamics. Specifically, we address the general scenario of inhomogeneous, time-dependent BEC number density with dissipation or rotation. Starting from the Gross-Pitaevskii equation (GPE), which describes the mean-field dynamics of a quasi-2D scalar BEC without dissipation, we show how to map vortices in a quasi-2D scalar BEC to 2D electrodynamics beyond the point-vortex approximation, even when dissipation is present or in a rotating system. The physical meaning of this duality is discussed.
Keywords
Cite
@article{arxiv.2411.14302,
title = {Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates},
author = {Seong-Ho Shinn and Adolfo del Campo},
journal= {arXiv preprint arXiv:2411.14302},
year = {2025}
}
Comments
17 pages, 1 figure