Universal Correlations as Fingerprints of Transverse Quantum Fluids

We study universal off-diagonal correlations in transverse quantum fluids (TQF) – a new class of quasi-one-dimensional superfluids featuring long-range-ordered ground states. These exhibit unique self-similar space-time relations scaling with $x^2\mathrm{/}D\tau$ that serve as fingerprints of the specific states. The results obtained with the effective field theory are found to be in perfect agreement with {\it 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 $D$.