Three-dimensional numerical simulation of long-lived quantum vortex knots and links in a trapped Bose-Einstein condensate

Abstract

Dynamics of simplest vortex knots, unknots, and links of torus type inside an atomic Bose-Einstein condensate in anisotropic harmonic trap at zero temperature has been numerically simulated using three-dimensional Gross-Pitaevskii equation. The lifetime for such quasi-stationary rotating vortex structures has been found quite long in wide parametric domains of the system. This result is in qualitative agreement with a previous prediction based on a simplified one-dimensional model approximately describing dynamics of vortex filaments [V.P. Ruban, JETP 126, 397 (2018)].

4 pages, 5 figures, English translation of Russian original accepted to JETP Letters

References in corpus (8)

• Bending-wave Instability of a Vortex Ring in a Trapped Bose-Einstein Condensate
• Spectral and dynamical analysis of a single vortex ring in anisotropic harmonically trapped three-dimensional Bose-Einstein condensates
• Parametric instability of oscillations of a vortex ring in a $z$-periodic Bose-Einstein condensate and the recurrence to starting state
• Long-lived quantum vortex knots
• Hamilton's equations of motion of a vortex filament in the rotating Bose-Einstein condensate and their "soliton" solutions
• Stable and unstable vortex knots in a trapped Bose-Einstein condensate
• Quasi-stable configurations of torus vortex knots and links
• Some exact solutions of the local induction equation for motion of a vortex in a Bose-Einstein condensate with Gaussian density profile

Cited by in corpus (12)

• Instabilities of vortex-ring-bright soliton in trapped binary 3D Bose-Einstein condensates
• Quasi-stable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates
• Instabilities of a Filled Vortex in a Two-Component Bose-Einstein Condensate
• Bubbles with attached quantum vortices in trapped binary Bose-Einstein condensates
• Capillary Flotation in a System of Two Immiscible Bose-Einstein Condensates
• Nonlinearity and Topology
• Discrete vortices on spatially nonuniform two-dimensional electric networks
• Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
• The quantum Talbot effect for a chain of partially correlated Bose-Einstein condensates
• Discrete Vortices in Systems of Coupled Nonlinear Oscillators: Numerical Results for an Electric Model
• Direct and reverse precession of a massive vortex in a binary Bose--Einstein condensate
• Discrete Vortex Filaments on Arrays of Coupled Oscillators in the Nonlinear Resonant Mode