Torus quantum vortex knots in the Gross-Pitaevskii model for Bose-Einstein condensates

Tangled Magnetic Fields in Astro- and Plasma Physics; Quantised Flux in Tightly Knotted and Linked Systems

Proment, D.^1 ; Onorato, M.^2,3 ; Barenghi, C.F.^4

School of Mathematics, University of East Anglia, Norwich Research Park, Norwich

NR4 7RJ, United Kingdom^1

Dipartimento di Fisica, Università Degli Studi di Torino, Via Pietro Giuria 1, Torino

10125, Italy^2

INFN, Sezione di Torino, Via Pietro Giuria 1, Torino

10125, Italy^3

School of Mathematics and Statistics, Newcastle University, Newcastle-upon-Tyne

NE1 7RU, United Kingdom^4

关键词: Bose-Einstein condensates;    Characteristic size;    Dynamic property;    Gross-Pitaevskii model;    Quantum vortex;    Shape-preserving;    Topological parameters;    Translational velocity;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/544/1/012022/pdf
DOI  :  10.1088/1742-6596/544/1/012022

来源: IOP

【 摘 要 】

We examine the static and dynamic properties of quantum knots in a Bose-Einstein condensate. In particular, we consider the Gross-Pitaevskii model and revise a technique to construct ab initio the condensate wave-function of a generic torus knot. After analysing its excitation energy, we study its dynamics, relating the topological parameter to its translational velocity and characteristic size. We also investigate the breaking mechanisms of non shapepreserving torus knots, confirming an evidence of universal decaying behaviour previously observed.