Tan's Contact for Trapped Lieb-Liniger Bosons at Finite Temperature
Abstract
The universal Tan relations connect a variety of microscopic features of many-body quantum systems with two-body contact interactions to a single quantity, called the contact. The latter has become pivotal in the description of quantum gases.We provide a complete characterization of the Tan contact of the harmonically trapped Lieb-Liniger gas for arbitrary interactions and temperature.Combining thermal Bethe ansatz, local-density approximation, and exact quantum Monte Carlo calculations,we show that the contact is a universal function of only two scaling parameters, and determine the scaling function.We find that the temperature dependence of the contact, or equivalently the interaction dependence of the entropy, displays a maximum. The presence of this maximum provides an unequivocal signature of the crossover to the fermionized regime and it is accessible in current experiments.
Keywords
Cite
@article{arxiv.1804.04902,
title = {Tan's Contact for Trapped Lieb-Liniger Bosons at Finite Temperature},
author = {Hepeng Yao and David Clément and Anna Minguzzi and Patrizia Vignolo and Laurent Sanchez-Palencia},
journal= {arXiv preprint arXiv:1804.04902},
year = {2018}
}