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 …

Recent theoretical and experimental progress on studying one-dimensional systems of
bosonic, fermionic, and Bose–Fermi mixtures of a few ultracold atoms confined in traps is …

Even though the one-dimensional contact interaction requires no regularization,
renormalization methods have been shown to improve the convergence of numerical …

Exact diagonalization expansions of Bose or Fermi gases with contact interactions converge
very slowly due to a nonanalytic cusp in the wave function. Here we develop a …

We introduce a generic and accessible implementation of an exact diagonalization method
for studying few-fermion models. Our aim is to provide a testbed for the newcomers to the …

The variational determination of the two-fermion reduced density matrix (2-RDM) is
described for harmonically trapped, ultracold few-fermion systems in one dimension with …

To perform efficient many-body calculations in the framework of the exact diagonalization of
the Hamiltonian one needs an appropriately tailored Fock basis built from the single-particle …

Standard analytical construction of the many-body wave function of interacting particles in
one dimension, beyond mean-field theory, is based on the Jastrow approach. The many …

We present a comprehensive study of the static properties of a mobile impurity interacting
with a bath with a few particles trapped in a one-dimensional harmonic trap. We consider …

We propose a very accurate and efficient variational scheme for the ground state of the
system of p-wave attractively interacting fermions confined in a one-dimensional harmonic …