Interactions and Reconnections of Four-Dimensional Quantum Vortices

Fuente: arXiv
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Autores principales: Middleton-Spencer, H. A. J., McCanna, B., Proment, D., Price, H. M.
Formato: Preprint
Publicado: 2024
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author Middleton-Spencer, H. A. J.
McCanna, B.
Proment, D.
Price, H. M.
author_facet Middleton-Spencer, H. A. J.
McCanna, B.
Proment, D.
Price, H. M.
contents Interactions and reconnections of vortices are fundamental in many areas of physics, including classical and quantum fluids where they are central to understanding phenomena such as turbulence. In three-dimensional (3D) superfluids, quantum vortices are one-dimensional (1D) filaments that can intersect, reconnect, and recoil with irreversible dynamics described by near-universal scaling laws. We explore quantum-vortex reconnections in a four-dimensional (4D) superfluid, where a vortex is a two-dimensional (2D) surface. Using real-time numerical simulations, we find much richer behaviour than in 3D, including stable intersecting vortex surfaces which do not reconnect, and unusual vortex reconnections which occur without significant energy dissipation, suggesting quasi-reversible dynamics. Our work raises many interesting questions about vortex physics in extra-dimensional systems, and may be extended in the future to more realistic experimental settings where the fourth dimension is simulated with techniques such as synthetic dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2411_07943
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Interactions and Reconnections of Four-Dimensional Quantum Vortices
Middleton-Spencer, H. A. J.
McCanna, B.
Proment, D.
Price, H. M.
Quantum Gases
Interactions and reconnections of vortices are fundamental in many areas of physics, including classical and quantum fluids where they are central to understanding phenomena such as turbulence. In three-dimensional (3D) superfluids, quantum vortices are one-dimensional (1D) filaments that can intersect, reconnect, and recoil with irreversible dynamics described by near-universal scaling laws. We explore quantum-vortex reconnections in a four-dimensional (4D) superfluid, where a vortex is a two-dimensional (2D) surface. Using real-time numerical simulations, we find much richer behaviour than in 3D, including stable intersecting vortex surfaces which do not reconnect, and unusual vortex reconnections which occur without significant energy dissipation, suggesting quasi-reversible dynamics. Our work raises many interesting questions about vortex physics in extra-dimensional systems, and may be extended in the future to more realistic experimental settings where the fourth dimension is simulated with techniques such as synthetic dimensions.
title Interactions and Reconnections of Four-Dimensional Quantum Vortices
topic Quantum Gases
url https://arxiv.org/abs/2411.07943