Helicity conservation under quantum reconnection of vortex rings

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Simone Zuccher, Renzo L Ricca

Abstract

Here we show that under quantum reconnection, simulated by using the three-dimensional Gross-Pitaevskii equation, self-helicity of a system of two interacting vortex rings remains conserved. By resolving the fine structure of the vortex cores, we demonstrate that the total length of the vortex system reaches a maximum at the reconnection time, while both writhe helicity and twist helicity remain separately unchanged throughout the process. Self-helicity is computed by two independent methods, and topological information is based on the extraction and analysis of geometric quantities such as writhe, total torsion, and intrinsic twist of the reconnecting vortex rings.

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Citations

Nov 25, 2016·Scientific Reports·R HänninenH Salman
May 10, 2017·Proceedings. Mathematical, Physical, and Engineering Sciences·Hayder Salman
Jun 7, 2019·Proceedings of the National Academy of Sciences of the United States of America·Luca GalantucciCarlo F Barenghi
Sep 11, 2019·Physical Review. E·Simone Zuccher, Renzo L Ricca
Jun 18, 2017·Physical Review. E·Simone Zuccher, Renzo L Ricca
Oct 3, 2019·Physical Review. E·Matteo Foresti, Renzo L Ricca

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