For strongly interacting trapped 1D bosons, the canonical Tan's contact at any temperature is conjectured to factor into a two-boson scaling function and a particle-number dependent Tonks-Girardeau contact.
1: Canonical Tan’s contact C c 2(g, T ) as a function of τ = T /T F [Eq.(5)] for different values of the interaction strength z = aho/ (|a1D| √ N )
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Scaling properties of the Tan's contact: embedding pairs and correlation effect in the Tonks limit
For strongly interacting trapped 1D bosons, the canonical Tan's contact at any temperature is conjectured to factor into a two-boson scaling function and a particle-number dependent Tonks-Girardeau contact.