Universal correlations as fingerprints of transverse quantum fluids

We study universal off -diagonal correlations in transverse quantum fluids (TQF); a new class of quasi -onedimensional superfluids featuring long -range -ordered ground states. These exhibit unique self -similar space-time relations scaling with x2/D tau that serve as fingerprints of the specific states. The results obtained with the effective field theory are found to be in perfect agreement with ab initio simulations of hard-core bosons on a lattice; a simple microscopic realization of TQF. This allows an accurate determination-at nonzero temperature and finite system size-of such key ground -state properties as the condensate and superfluid densities, and characteristic parameter D.