This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

We investigate local quantum field theories for one-dimensional (1D) Bose and Fermi gases
with contact interactions, which are closely connected with each other by Girardeau's Bose …

One-dimensional spinless Bose and Fermi gases with contact interactions have the close
interrelation via Girardeau's Bose-Fermi mapping, leading to the correspondences in their …

Using the asymptotic Bethe ansatz, we study the stabilization problem of the one-
dimensional spin-polarized Fermi gas confined in a hard-wall potential with a tunable p …

We analyze zero-temperature universal properties of the simplest Galilean-invariant model
of spinless low-dimensional fermions with short-range two-body interactions. In particular, it …

We study the superfluid-to-Mott-insulator transition of a mixture of heavy bosons and light
fermions loaded in an optical lattice. We focus on the effect of the light fermions on the …

We theoretically study the width of the s-wave confinement-induced resonance (CIR) in
quasi-one-dimensional atomic gases under tunable transversely anisotropic confinement …

Ultracold atoms placed in a tight cigar-shaped trap are usually described in terms of the Lieb-
Liniger model. We study the extensions of this model which arise when van der Waals …

Three identical bosons or fermions are considered in the limit of zero-range interactions and
finite effective range. By using a two-channel model, we show that these systems are not …

Highly excited eigenstates of interacting quantum systems are generically thermal;
regardless of initial conditions, physical observables behave as they would in thermal …