Tan contact in one-dimensional quantum gases

Anna Minguzzi, LPMMC, CNRS and Universite Grenoble-Alpes

The Tan's contact is related to  two-body interactions in quantum gases with short-range interactions. It is an ubiquitous quantity, determining eg the interaction energy,  the two-body correlation function at zero distance, the tails of the momentum distribution and the rf-spectroscopy tails. I will present our results for the Tan's contact of strongly interacting bosons and fermions in a tight atomic waveguide, highlighting its universal aspects, its temperature dependence and the possibility to use it to extract the symmetry properties of a quantum mixture.