2017/12/16 by Scott A. Strong, Lincoln D. Carr, Strong, Scott A. +1
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Quantum Gases (cond-mat.quant-gas) #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.quant-gas #math.DS #nlin.PS
paper · pdf · doi:10.48550/arxiv.1712.05885
6 pages, 4 figures
arxiv created 2017/12/16 · openalex publication_date 2017/12/16 · arxiv updated 2017/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The dynamics of quantized vortices in weakly interacting superfluids are often modeled by a nonlinear Schrödinger equation. In contrast, we show that quantized vortices in fact obey a non-Hamiltonian evolution equation, which enhances dispersion along the vortex line while introducing a gain mechanism. This allows the vortex medium to support a helical shock front propagating ahead of a dissipative soliton. This dynamic relaxes localized curvature events into Kelvin wave packets. Consequently, a beyond local induction model provides a pathway for decay in low-temperature quantum turbulence.