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Superfluid turbulence, vortex dynamics, and universaility in ultracold Bose gases

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Inspired by turbulence in classical hydrodynamics great efforts have been made in recent years to investigate and describe its
quantum analogon in superfluids such as Helium and Bose–Einstein condensates. Here the intriguing difference to classical turbulence
is that vortical flows can appear only quantised and are carried by particle-like excitations, namely vortices. Nevertheless, characteristic
scaling laws for the kinetic energy appear also in quantum turbulent systems, establishing a notion of universality similar to Kolmogorov
turbulence in classical hydrodynamics. In this talk we discuss quantum turbulence in far-from-equilibrium Bose gases as a result of
interacting vortices in two spatial dimensions and tangles of vortex lines in three spatial dimensions. The emergence of universal scaling
laws for the kinetic energy and the occupation spectrum respectively, n(k)  k

Author(s):

Markus Karl    
Institut fuer Theoretische Physik, University of Heidelberg
Germany

Boris Nowak    
Institut fuer Theoretische Physik, University of Heidelberg
Germany

Thomas Gasenzer    
Institut fuer Theoretische Physik, University of Heidelberg
Germany