We have a new publication: Canonical-ensemble scaling of Tan’s contact in the trapped Tonks-Girardeau gas, Felipe Taha Sant’Ana, Phys. Rev. A 114, 033309 (2026).

Abstract

We examine the canonical-ensemble scaling of Tan’s contact for \(N\) harmonically trapped Tonks–Girardeau bosons at finite temperature. The leading scaling coefficient aligns with local-density-approximation findings, and is derived through a contour-integral representation and a saddle-point reduction. The subleading coefficient is expressed through universal phase-space integrals of the Fermi factor, with closed-form Sommerfeld and virial limits. We provide Padé approximants interpolating between the low- and high-temperature regimes, and validate the results using canonical contour-integration across all temperatures examined.

Check it out DOI 10.1103/4nlt-wdl7.

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