HOLOTUBE: Fingerprints of quantum criticality in locally resolved transport

New experimental methods such as nitrogen vacancy center magnetometry allow for the imaging of local transport phenomena well below the micrometer scale. I will describe how these methods might be used to experimentally reveal quantum critical dynamics which is invisible in conventional bulk transport measurements. Using the AdS4-Einstein-Maxwell system as a toy model, I will describe what happens as current is pushed through a geometric constriction in both hydrodynamic and quantum critical transport regimes, both in charge neutral and non-zero density limits. Remarkably, our model does appear to quantitatively capture locally imaged transport in charge neutral graphene at high temperatures, albeit in a largely ohmic transport regime.