Universal Correlations as Fingerprints of Transverse Quantum Fluids

TL;DR

This paper investigates universal off-diagonal correlations in transverse quantum fluids, revealing self-similar space-time scaling as unique fingerprints, validated through effective field theory and ab initio simulations, enabling precise characterization of key ground-state properties.

Contribution

It introduces a new class of quasi-one-dimensional superfluids with universal correlation scaling, validated by simulations, and provides a method to accurately determine ground-state properties.

Findings

Universal off-diagonal correlations exhibit self-similar scaling.

Effective field theory matches ab initio simulation results.

Accurate determination of condensate and superfluid densities.

Abstract

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 $x^2/D\tau$ 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 $D$.