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

Cold atomic gases have become a paradigmatic system for exploring fundamental physics,
which at the same time allows for applications in quantum technologies. The accelerating …

Systems of interacting bosons in triple-well potentials are of significant theoretical and
experimental interest. They are explored in contexts that range from quantum phase …

Abstract The Yang–Baxter equation has long been recognised as the masterkey to
integrability, providing the basis for exactly solved models which capture the fundamental …

We present most general one-parametric solutions of the Yang-Baxter equations (YBE) for
one spectral parameter dependent R ij (u)-matrices of the six-and eight-vertex models …

In this work, we investigate the semiclassical limit of a simple bosonic quantum many-body
system exhibiting both integrable and chaotic behavior. A classical Hamiltonian is derived …

We investigate two solvable models for Bose–Einstein condensates and extract physical
information by studying the structure of the solutions of their Bethe ansatz equations. A …

We investigate magnetic properties and statistical effects in one-dimensional (1D) strongly
repulsive two-component fermions and in a 1D mixture of strongly repulsive polarized …

We introduce an integrable, four-well ring model for bosons where the tunneling couplings
between nearest-neighbour wells are not restricted to be equal. We show how the model …

Inspired by the increasing possibility of experimental control in ultracold atomic physics, we
introduce a new Lax operator and use it to construct and solve models with two wells and …