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APS -Annual Meeting of the APS Four Corners Section- Event - Non-Hamiltonian Dynamics of Quantized Vortices

机译:APS-APS四角区年会-事件-量化涡旋的非哈密顿动力学

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The dynamics of quantized vortices in Bose-Einstein condensates 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 and introduces a gain mechanism. These modifications allow the vortex medium to support helical excitations propagating ahead of a dissipative soliton capable of relaxing localized curvature events into packets of Kelvin waves. Such excitations, absent from previous local induction models, provide a pathway for decay in low-temperature quantum turbulence.
机译:通常使用非线性Schr“ odinger方程对Bose-Einstein冷凝物中的量化涡旋动力学进行建模。相反,我们表明,量化的涡旋实际上服从非哈密顿演化方程,从而增强了色散并引入了增益机制。允许涡旋介质支持在能将局域曲率事件释放到开尔文波包中的耗散孤子之前传播的螺旋激励,这种激励是以前的局部感应模型所不具备的,为低温量子湍流的衰减提供了一条途径。

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