Holographic Vortex Liquids and Superfluid Turbulence


Allan Adams, Paul Chesler, Hong Liu


Science 341 (6144) 368-372


 

A Holographic View of a Turbulent Superfluid

 

Holographic description of a superfluid with vortices. The vertical axis is the radial direction z of AdS4. The planes at z=0 and z=1 are the boundary of AdS4 and the black hole horizon respectively.  The green surface is a surface of constant bulk charge density, with the region between the two slices defining a ``slab'' of condensate where most bulk charges reside.  The slab screens excitations from falling into the horizon. This can be seen from the vector field in the plot which indicates the direction and magnitude of the local energy flux;  note that this flux vanishes quickly below the slab. The vortices, with energy flux circulating around them, punch holes through this screening slab, providing avenues for excitations to fall into the black hole.  The surface z = 0 also shows the condensate on the boundary (with blue color representing zero condensate), superposed with flow lines of the superfluid velocity. The flux tubes show a surface of constant  |\Phi|^2/z^4, which coincides with the boundary condensate at z=0. The z = 1 surface also shows the flux of energy through the horizon.  Note that the energy flux is only significant (red and green) in the wake of the moving vortices.

 
 

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