Three-Dimensional Numerical Simulation of Long-Lived Quantum Vortex Knots and Links in a Trapped Bose Condensate

• Published in: JETP letters Vol. 108; no. 9; pp. 605 - 609
• Main Author: Ruban, V. P.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-11-2018; Springer Nature B.V
• Subjects: Atomic; Biological and Medical Physics; Biophysics; Computer simulation; Condensates; Condensed Matter; Filaments; Helium; Knot theory; Mathematical models; Molecular; One dimensional models; Optical and Plasma Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Quantum Information Technology; Solid State Physics; Spintronics; Toruses; Vortex filaments; Vortices
• ISSN: 0021-3640; 1090-6487
• DOI: 10.1134/S0021364018210117

The dynamics of the simplest vortex knots, “unknots,” and torus links in an atomic Bose condensate at zero temperature in an anisotropic harmonic trap has been simulated numerically within the three-dimensional Gross–Pitaevskii equation. It has been found that such quasistationary rotating vortex structures exist for a very long time in wide ranges of the parameters of the system. This new result is qualitatively consistent with a previous prediction based on a simplified one-dimensional model approximately describing the motion of knotted vortex filaments.