title: Universal contact for a Tonks-Girardeau gas at finite temperature.
abstract: We determine the finite-temperature momentum distribution of a strongly interacting 1D Bose gas in the Tonks-Girardeau (impenetrable-boson) limit under harmonic confinement and explore its universal properties associated to the scale invariance of the model. We show that, at difference from the unitary Fermi gas in three dimensions, the weight of its large-momentum tails--given by Tan's contact--increases with temperature and calculate the high-temperature universal second contact coefficient using a virial expansion.
authors: Université de Nice-Sophia Antipolis, Institut Non Linéaire de Nice, CNRS, 1361 route des Lucioles, 06560 Valbonne, France.
authors: Patrizia
authors: P
authors: Vignolo
authors: Anna
authors: A
authors: Minguzzi