The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

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 …

We review the recent theoretical and experimental progress regarding the generalized
hydrodynamics (GHD) behavior of the one-dimensional (1D) Bose gas with contact …

We derive exact closed-form expressions for the first few terms of the short-distance Taylor
expansion of the one-body correlation function of the Lieb-Liniger gas. As an intermediate …

Using a scaling transformation we exactly determine the dynamics of an harmonically
confined Tonks-Girardeau gas under arbitrary time variations of the trap frequency. We show …

The momentum-and frequency-dependent one-body correlation function of the one-
dimensional interacting Bose gas (Lieb–Liniger model) in the repulsive regime is studied …

Understanding the effect of correlations in interacting many-body systems is one of the main
challenges in quantum mechanics. While the general problem can only be addressed by …

In one-dimensional (1D) quantum gases, the momentum distribution (MD) of the atoms is a
standard experimental observable, routinely measured in various experimental setups. The …

The achievement of Bose–Einstein condensation in ultra-cold vapours of alkali atoms has
given enormous impulse to the study of dilute atomic gases in condensed quantum states …

We study the ground state of few bosons with repulsive dipole-dipole interaction in a quasi-
one-dimensional harmonic trap by means of the exact diagonalization method. Up to three …