Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates

• URL: http://arxiv.org/abs/2411.14302v2
• Date: Sun, 24 Nov 2024 10:37:16 GMT
• Title: Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates
• Authors: Seong-Ho Shinn, Adolfo del Campo,
• Abstract summary: We introduce a duality between vortices in a quasi-two-dimensional (quasi-2D) scalar Bose-Einstein condensates (BEC) We show how to map vortices in a quasi-2D scalar BEC to 2D electrodynamics beyond the point-vortex approximation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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