A1 Refereed original research article in a scientific journal
Snake instability of ring dark solitons in toroidally trapped Bose-Einstein condensates
Authors: Toikka LA, Suominen KA
Publisher: AMER PHYSICAL SOC
Publication year: 2013
Journal: Physical Review A
Journal name in source: PHYSICAL REVIEW A
Journal acronym: PHYS REV A
Number in series: 4
Volume: 87
Issue: 4
Number of pages: 6
ISSN: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.87.043601
Abstract
We show by numerically solving the Bogoliubov-de Gennes equations and numerically integrating the Gross-Pitaevskii equation that the onset of the snake instability of ring dark solitons requires a broken symmetry. We elucidate explicitly the connection between imaginary Bogoliubov modes and the snake instability, predicting the number of vortex-antivortex pairs produced. In addition, we propose a simple model to give a physical motivation as to why the snake instability takes place and needs a broken symmetry. Finally, we show that tight confinement in a toroidal potential actually enhances soliton decay due to inhibition of soliton motion, but can lead to a periodic revival of the ring dark soliton after the first snake instability. DOI: 10.1103/PhysRevA.87.043601
We show by numerically solving the Bogoliubov-de Gennes equations and numerically integrating the Gross-Pitaevskii equation that the onset of the snake instability of ring dark solitons requires a broken symmetry. We elucidate explicitly the connection between imaginary Bogoliubov modes and the snake instability, predicting the number of vortex-antivortex pairs produced. In addition, we propose a simple model to give a physical motivation as to why the snake instability takes place and needs a broken symmetry. Finally, we show that tight confinement in a toroidal potential actually enhances soliton decay due to inhibition of soliton motion, but can lead to a periodic revival of the ring dark soliton after the first snake instability. DOI: 10.1103/PhysRevA.87.043601
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