Dynamics of quantized vortices in a torsional oscillator under rotation:: Proposed experiments in supersolid 4He

Recently there have been reports of superfluidity in solid He-4 and possibly in other solids. One of the common features of these systems is their small superfluid density. This would imply a rather long three dimensional (313) coherence length. Sub-monolayer superfluid He-4 films condensed on 3D connected surfaces show 3D superfluid transitions, in some cases with a rather small 3D superfluid density and a long 3D coherence length, which implies a large 3D vortex core size. We have previously detected 3D vortex lines in a 3D superfluid made of a sub-monolayer He-4 film condensed on the pore surface of large pore diameter porous glass, by measuring the energy dissipation in a torsional oscillator under rotation. We propose application of this method to the new supersolids.