Non-Hamiltonian Dynamics of Quantized Vortices in Bose-Einstein Condensates

Scott A. Strong; Lincoln D. Carr

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arXiv · 1712.05885

Non-Hamiltonian Dynamics of Quantized Vortices in Bose-Einstein Condensates

Scott A. Strong·Lincoln D. Carr

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Abstract

The dynamics of quantized vortices in weakly interacting superfluids are often modeled by a nonlinear Schr\"odinger 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.

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Scott A. Strong, Lincoln D. Carr. 2017-12-16. Non-Hamiltonian Dynamics of Quantized Vortices in Bose-Einstein Condensates. https://arxiv.org/abs/1712.05885

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