Unwinding in Hopfion vortex bunches

2009/04/30 by Juha Jäykkä, Jarmo Hietarinta · 2 citations
Computer Science · Physics and Astronomy · #Neural Networks and Reservoir Computing #Nonlinear Photonic Systems #Quantum many-body systems #hep-th

paper · pdf · doi:10.1103/physrevd.79.125027

published as Phys.Rev.D79:125027,2009 · 6 pages, 9 figures, minor clarifications of text and corrected the final energy of the vortices section IV.B. To be published in Phys.Rev.D

arxiv created 2009/05/22 · openalex publication_date 2009/06/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate the behavior of parallel Faddeev-Hopf vortices under energy minimization in a system with physically relevant, but unusual boundary conditions. The homotopy classification is no longer provided by the Hopf invariant, but rather by the set of integer homotopy invariants proposed by Pontrjagin. The nature of these invariants depends on the boundary conditions. A set of tightly wound parallel vortices of the usual Hopfion structure is observed to form a bunch of intertwined vortices or unwind completely, depending on the boundary conditions.

Citations

• Stable knot-like structures in classical field theory

Cited by

• Stable knots in the trapped Bose-Einstein condensates
• Strongly coupled Skyrme–Faddeev–Niemi hopfions

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