Article

Characteristics of Two-Dimensional Quantum Turbulence in a Compressible Superfluid

04/2012;
Source: arXiv

ABSTRACT Under suitable forcing a fluid exhibits turbulence, with characteristics
strongly affected by the fluid's confining geometry. Here we study
two-dimensional quantum turbulence in a highly oblate Bose-Einstein condensate
in an annular trap. As a compressible quantum fluid, this system affords a rich
phenomenology, allowing coupling between vortex and acoustic energy.
Small-scale stirring generates an experimentally observed disordered vortex
distribution that evolves into large-scale flow in the form of a persistent
current. Numerical simulation of the experiment reveals additional
characteristics of two-dimensional quantum turbulence: spontaneous clustering
of same-circulation vortices, and an incompressible energy spectrum with
$k^{-5/3}$ dependence for low wavenumbers $k$ and $k^{-3}$ dependence for high
$k$.

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Keywords

acoustic energy
 
annular trap
 
coupling
 
experimentally observed disordered vortex
 
geometry
 
incompressible energy spectrum
 
large-scale flow
 
low wavenumbers $k$
 
Numerical simulation
 
oblate Bose-Einstein condensate
 
same-circulation vortices
 
suitable
 
system affords
 
two-dimensional quantum turbulence
 
vortex