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Universal Correlations as Fingerprints of Transverse Quantum Fluids

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arxiv 2310.19875 v1 pith:PUW6PF4G submitted 2023-10-30 cond-mat.other cond-mat.quant-gascond-mat.supr-con

Anatoly Kuklov , Lode Pollet , Nikolay Prokof'ev , Leo Radzihovsky , Boris Svistunov This is my paper · ORCID
classification cond-mat.othercond-mat.quant-gascond-mat.supr-con
keywords correlationsfingerprintsfluidsquantumstatestransverseuniversalaccurate
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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 $D$.

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  1. Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter

    cond-mat.stat-mech 2025-06 conditional novelty 8.0 of 10

    In a strictly short-range XY model made of a plane intersected by parallel planes, true long-range order appears along the intersection lines when the parallel planes enter a Berezinskii-Kosterlitz-Thouless critical phase.

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