Quantum vortices in a bose-einstein condensate. reconnections and equations of motion
S.K. Nemirovsky
Kutateladze Institute of Thermophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Keywords: quantum vortex filaments, Bose gas, superfluid turbulence
Abstract
Some properties of vortex filaments in a weakly nonideal countercurrent Bose-Einstein condensate (BEC) are described. This paper focuses on the study of reconnection processes and the equations of motion. One of the motivations for this study is that the dynamics of quantum vortices in superfluid helium has been obtained at the phenomenological level, and a number of questions requiring clarification can be addressed by studying the corresponding problem in BEC. Considering a vortex filament as the intersection line of surfaces where the real and imaginary parts of the macroscopic wave function ψ(r, t) vanish allowed us to write an equation of motion for the vortex filament. Remarkably, the structure of this equation completely coincides with the structure of the equation for the dynamics of a vortex filament in superfluid helium, which was derived from entirely different, phenomenological considerations.
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