The Lieb–Liniger gas with cold atoms

Abstract

We provide a brief review of how a gas of bosons in one dimension with zero-range interactions, a model that was solved exactly by Lieb and Liniger in 1963, can be realized experimentally with ultracold atoms. This has allowed a number of their predictions to be tested. Moreover, we mention some of the developments that have emerged from the work by Lieb and Liniger in this context, restricting the discussion to problems in thermal equilibrium.