# Dynamics of straight vortex filaments in a Bose–Einstein condensate with the Gaussian density profile

@article{Ruban2016DynamicsOS, title={Dynamics of straight vortex filaments in a Bose–Einstein condensate with the Gaussian density profile}, author={Victor P. Ruban}, journal={Journal of Experimental and Theoretical Physics}, year={2016}, volume={124}, pages={932-942} }

The dynamics of interacting quantized vortex filaments in a rotating Bose–Einstein condensate existing in the Thomas–Fermi regime at zero temperature and obeying the Gross–Pitaevskii equation has been considered in the hydrodynamic “nonelastic” approximation. A noncanonical Hamilton equation of motion for the macroscopically averaged vorticity has been derived for a smoothly inhomogeneous array of filaments (vortex lattice) taking into account spatial nonuniformity of the equilibrium density of…

## 9 Citations

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The dynamics of interacting quantum vortices in a quasi-two-dimensional spatially inhomogeneous Bose–Einstein condensate, whose equilibrium density vanishes at two points of the plane with a possible…

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The dynamics of a quantum vortex toric knot TP,Q and other analogous knots in an atomic Bose condensate at zero temperature in the Thomas–Fermi regime is considered in the hydrodynamic approximation.…

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- Physics
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The dynamics of deformations of a quantum vortex ring in a Bose condensate with the periodic equilibrium density ρ(z) = 1 − ϵ cos z has been considered in the local induction approximation.…

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Long-time existence of topologically nontrivial configurations of quantum vortices in the form of torus knots and links in trapped Bose-Einstein condensates is demonstrated numerically within the…

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- PhysicsJETP Letters
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Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links.

- Medicine, PhysicsPhysical review. E
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A discrete variant of the equation is used to demonstrate numerically that vortex knots in three-dimensional arrays of oscillators coupled by specially tuned weak links can exist for as long times as many as tens of typical vortex turnover periods.

Instabilities of vortex-ring-bright soliton in trapped binary 3D Bose-Einstein condensates

- Physics
- 2021

Victor P. Ruban,1, ∗ Wenlong Wang,2, † Christopher Ticknor,3, ‡ and Panayotis G. Kevrekidis4, § Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow region 142432, Russia College of…

О динамике вихревой нити. Новый взгляд на проблему энергии и эффективной массы

- PhysicsВестник Самарского государственного технического университета. Серия «Физико-математические науки»
- 2019

Рассматривается динамика бесконечной вихревой нити «нулевой толщины» в приближении локальной индукции. Асимптотически нить считается прямолинейной, причем предполагается существование в окружающем…

Discrete vortices on spatially nonuniform two-dimensional electric networks.

- Physics, MedicinePhysical review. E
- 2020

Two-dimensional arrays of nonlinear electric oscillators are considered theoretically where nearest neighbors are coupled by relatively small constant but nonequal capacitors, and behavior of quantized discrete vortices in such systems is shown to depend strongly on the spatial profile of the internode coupling.

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