Electrodynamics of vortices in quasi-two-dimensional scalar Bose-Einstein condensates

Bose-Einstein condensates; Coulomb gas; Gross-Pitaevskii equation; Mean field dynamics; Number density; Point vortices; Spatial dimension; Time dependent; Two-dimensional; Vortex-vortex interaction; Physics and Astronomy (all)

Abstract :

[en] 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.

Disciplines :

Physics

Author, co-author :

Shinn, Seong-Ho ; Department of Physics and Materials Science, University of Luxembourg, Luxembourg, Luxembourg

DEL CAMPO ECHEVARRIA, Adolfo ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

External co-authors :

yes

Language :

English

Title :

Electrodynamics of vortices in quasi-two-dimensional scalar Bose-Einstein condensates

Publication date :

2025

Journal title :

Physical Review Research

eISSN :

2643-1564

Publisher :

American Physical Society

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://link.aps.org/article/10.1103/PhysRevResearch.7.013217

Funders :

Fonds National de la Recherche Luxembourg

Funding text :

It is a pleasure to thank Michael V. Berry, Ashton Bradley, Bogdan Damski, \u00CD\u00F1igo L. Egusquiza, Uwe R. Fischer, \u00C9tienne Fodor, Andr\u00E1s Grabarits, Woo Jin Kwon, Matteo Massaro, Kazutaka Takahashi, Mithun Thudiyangal, and Masahito Ueda for insightful comments and discussions. The authors acknowledge financial support from the National Research Fund of Luxembourg under Grant No. C22/MS/17132060/BeyondKZM.

Commentary :

17 pages, 1 figure

Available on ORBilu :

since 20 May 2025

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