Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915174749831168 |
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| author | Shinn, Seong-Ho del Campo, Adolfo |
| author_facet | Shinn, Seong-Ho del Campo, Adolfo |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_14302 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates Shinn, Seong-Ho del Campo, Adolfo Quantum Gases Statistical Mechanics Mathematical Physics Plasma Physics Quantum Physics 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. |
| title | Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates |
| topic | Quantum Gases Statistical Mechanics Mathematical Physics Plasma Physics Quantum Physics |
| url | https://arxiv.org/abs/2411.14302 |